In the long run, perfectly competitive firms are at equilibrium when P= LMC = LAC. In the long run, competitive firms will break even when the P= LMC = LAC.
This is the ideal situation for all producers in the market. This is because, in the long run, no firms are making any economic profits, which implies that each firm is producing at the minimum point of its average cost curve.
Long-run equilibrium is achieved when economic profits equal zero. This happens when the price, the long-run marginal cost (LMC), and the long-run average cost (LAC) are equal. In a perfectly competitive market, firms can enter and leave without restrictions. As a result, if firms in the industry are earning positive economic profits, new firms will join in, increasing industry supply and reducing the market price.
Each firm's revenue will decrease until economic profits are zero. At this point, firms will have no incentive to enter or leave the industry. All firms in the industry will be operating at their efficient scale, with P= LMC = LAC. This indicates that no firm can create an economic profit by increasing or decreasing its output.
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6 points Save Answe Costs incurred (Actual inputs x Actual Rates): Direct Materials $25000, Direct Labour $9625, Actual Inputs x Standard Rates: Direct Materials $19000, Direct Labour $6100, Standard
The price variances for Direct Materials and Direct Labor have been calculated based totally on the supplied statistics.
The rate variance for Direct Materials turned to $6,000 (Favorable), even as the efficiency variance changed to $4,750 (Unfavorable). For Direct Labor, the rate variance changed to $3,525 (Favorable), and the performance variance was -$3,775 (Unfavorable).
To calculate the rate and performance variances for direct materials and direct hard work, we will use the furnished data:
For Direct Materials:
Actual Inputs x Actual Rates = $25,000
Actual Inputs x Standard Rates = $19,000
Standard Inputs Allowed (Actual Output x Standard Rates) = $23,750
Rate Variance for Direct Materials = (Actual Inputs x Actual Rates) - (Actual Inputs x Standard Rates)
= $25,000 - $19,000
= $6,000 (Favorable)
Efficiency Variance for Direct Materials = (Actual Inputs x Standard Rates) - (Standard Inputs Allowed)
= $19,000 - $23,750
= $4,750 (Unfavorable)
For Direct Labor:
Actual Inputs x Actual Rates = $9,625
Actual Inputs x Standard Rates = $6,100
Standard Inputs Allowed (Actual Output x Standard Rates) = $9,875
Rate Variance for Direct Labor = (Actual Inputs x Actual Rates) - (Actual Inputs x Standard Rates)
= $9,625 - $6,100
= $3,525 (Favorable)
Efficiency Variance for Direct Labor = (Actual Inputs x Standard Rates) - (Standard Inputs Allowed)
= $6,100 - $9,875
= -$3,775 (Unfavorable)
Note: The terrible signal inside the efficiency variance for direct exertions indicates a negative variance.
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The correct question is:
a corporation obtains a loan of $200,000 at an annual rate of 12%. the corporation must keep a compensating balance of 20% of any amount borrowed on deposit at the bank, but normally does not have a cash balance account with the bank. what is the effective cost of the loan?
In order to obtain a loan of $200,000 at an annual rate of 12%, a corporation must keep a compensating balance of 20% of any amount borrowed on deposit at the bank. However, the corporation normally does not have a cash balance account with the bank.
The effective cost of the loan is calculated as follows:
Effective rate = (annual rate x loan amount) / (loan amount - compensating balance)Effective rate = (12% x $200,000) / ($200,000 - 20% x $200,000)
Effective rate = (0.12 x $200,000) / ($200,000 - 0.2 x $200,000)
Effective rate = $24,000 / ($200,000 - $40,000)
Effective rate = $24,000 / $160,000Effective rate = 0.15 or 15%The effective cost of the loan is 15%.
This is higher than the stated annual rate of 12% because the corporation is required to maintain a compensating balance of 20% of any amount borrowed on deposit at the bank.
This means that the corporation does not have access to the full loan amount and must maintain a certain amount of funds on deposit with the bank at all times.
This reduces the amount of funds available to the corporation and increases the effective cost of the loan.
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You invest $100 in a risky asset with an expected rate of return of 0.27 and a standard deviation of 0.36 and a T-bill with a rate of return of 0.05. The slope of the capital allocation line formed with the risky asset and the risk-free asset is equal to
a. 0.05
b. 1.3333
c. 0.6111
d. 0.7500
Investment in risky asset= $100
Expected Rate of Return on risky asset= 0.27
Standard Deviation of Risky asset= 0.36
Rate of Return on T-bill (Risk-Free Asset)= 0.05
To calculate: Slope of the Capital allocation line formed with the risky asset and the risk-free asset.
Formula: Slope of Capital Allocation
Line = [E(R_p) - R_f] / σ_p²
Where,
E(R_p) = Expected Return of Portfolio
R_f = Risk-Free Rate of Returnσ_
p² = Variance of Portfolio
Slope of Capital Allocation Line = [E(R_p) - R_f] / σ_p²Substituting the given values:σ_p² = 0.36²= 0.1296E(R_p) = 0.27R_f = 0.05∴ Slope of Capital Allocation Line = [0.27 - 0.05] / 0.1296= 1.6667Hence, Slope of the Capital allocation line formed with the risky asset and the risk-free asset is 1.6667.
Capital allocation line is used to find the optimal portfolio by investors in order to balance between risk and reward. It is a line that goes through the Risk-Free asset and the optimal risky portfolio. Slope of capital allocation line helps in determining the combination of risk-free and risky assets that can result in highest Sharpe ratio. The slope of the capital allocation line can be calculated by using the formula: Slope of Capital Allocation Line = [E(R_p) - R_f] / σ_p²Where, E(R_p) = Expected Return of Portfolio, R_f = Risk-Free Rate of Return, σ_p² = Variance of Portfolio Investment in risky asset= $100Expected Rate of Return on risky asset= 0.27Standard Deviation of Risky asset= 0.36Rate of Return on T-bill (Risk-Free Asset)= 0.05Substituting the given values in the formula: Slope of Capital Allocation Line = [0.27 - 0.05] / 0.1296= 1.6667Therefore, the slope of the capital allocation line formed with the risky asset and the risk-free asset is 1.6667.
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A company you are considering investing in has a dividend of $0.40 per share. If you have a required return of 10% and the dividend is expected to grow at 3% per year, the discounted dividend valuation model would value the stock at: $4.58. $5.88. $6.33. $7.13
Using the discounted dividend valuation model and rounded to two decimal places, the stock is valued at $7.13.
Option d is correct .
To calculate the value of a stock using the discounted dividend valuation model, we can use the following formula:
Stock Value = Dividend / (Required Yield - Dividend Growth Rate)
Considering the information provided, it looks like this:
Dividend = $0.40 per share
Required rate of return = 10% or 0.10
Dividend growth rate = 3% or 0.03
Substitute these values into the formula.
Stock value = $0.40 / (0.10 – 0.03)
Stock price = $0.40 / 0.07
Stock price = $7.13
Hence, Option d is correct .
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The correct question is :
A company you are considering investing in has a dividend of $0.40 per share. If you have a required return of 10% and the dividend is expected to grow at 3% per year, the discounted dividend valuation model would value the stock at:
A . $4.58.
B . $5.88.
C. $6.33.
D. $7.13
A football team receives $258,000 in sponsorship for equipment, and the administrative costs are expected to be $27,000. What are the costs as a percentage of sponsorship revenue?
Based on the calculation below, costs as a percentage of sponsorship revenue is 10.47%.
How to calculate costs as a percentage of revenue?The costs as a percentage of sponsorship revenue can be calculated using the following formula:
Costs as a percentage of sponsorship revenue = (Expected administrative costs / Sponsorship revenue) * 100 …………………………….. (1)
Substitute the relevant values into equation (1), we have:
Costs as a percentage of sponsorship revenue = ($27,000 / $258,000) * 100
Costs as a percentage of sponsorship revenue = 0.104651162790698 * 100
Costs as a percentage of sponsorship revenue = 10.47%
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Which is true about identifying stakeholders? Justify your answer.
a. External project stakeholders include the project's customers.
b. It is not very difficult to identify stakeholders.
c. Stakeholders with indirect ties to the project need not be engaged with.
d. Stakeholders do not change during a project.
Identifying stakeholders is an essential process when undertaking a project. It is a process of discovering who the stakeholders are, their interests, and their influence on the project.
However, not all stakeholders are the same. Some stakeholders have a direct connection to the project, while others have an indirect connection to the project.
Therefore, the right option from the given options that are true about identifying stakeholders is "a. External project stakeholders include the project's customers." Justification: Stakeholders are individuals or groups of people who have an interest in the project's outcome. Project stakeholders can be classified into two categories, namely internal stakeholders and external stakeholders.
The internal stakeholders include the project team members, including project managers, project sponsors, project coordinators, project administrators, and project team members. External stakeholders include customers, suppliers, shareholders, regulators, and government agencies, among others.
Customers are critical stakeholders in any project because they are the end-users of the project output.
Hence, option A is correct, and the remaining options are incorrect.
Therefore, option a is true about identifying stakeholders.
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Suppose MPC is 0.8. If government purchases increases by $50 and cuts taxes by $600, how much the equilibrium output is changed?
Therefore, the equilibrium output is changed by $687.5.
The equilibrium output refers to the level of GDP at which aggregate expenditure (AE) is equal to the level of output. AE is the sum of consumption expenditure (C), investment (I), government spending (G), and net exports (NX). MPC stands for marginal propensity to consume.Suppose MPC is 0.8. If government purchases increases by $50 and cuts taxes by $600, how much the equilibrium output is changed?Solution:Given, MPC = 0.8Change in Government purchase, ∆G = $50Change in Taxes, ∆T = -$600Now, change in Aggregate Expenditure, ∆AE = (MPC × ∆Y) + ∆G + ∆Twhere, ∆Y is the change in output.Aggregate Expenditure formula is AE = C + I + G + NX,where C = Consumption expenditure, I = Investment, G = Government purchases, and NX = Net ExportsNow, the equilibrium level of output is given byY = AE ………….(i)Now, at equilibrium, output = Aggregate expenditure So, Y = C + I + G + NX ………….(ii)Using equation (i) and (ii), we getY = C + I + G + NXMPC × Y = MPC × C + MPC × I + MPC × G + MPC × NXSubstituting the value of C, I, G, and NX, we getMPC × Y = MPC × (Co + MPC × Y) + I + G + NXwhere Co is autonomous consumptionMPC × Y = MPC × Co + MPC2 × Y + I + G + NXMPC2 × Y = MPC × Co + I + G + NXY = (MPC × Co + I + G + NX) / (1 - MPC2)Change in output, ∆Y = Y - Yo, where Yo is initial output∆Y = {(MPC × Co + I + G + NX) / (1 - MPC2)} - YoGiven, Co = 20, I = 40, NX = 0, MPC = 0.8, ∆G = 50, and ∆T = - 600So, AE = C + I + G + NXAE = 20 + 0.8Y + 50 + 0AE = 70 + 0.8Yand ∆AE = (MPC × ∆Y) + ∆G + ∆T0 = 0.8 × ∆Y + 50 - 6000.8 × ∆Y = 550∆Y = ∆AE / MPC∆Y = 550 / 0.8∆Y = $687.5Therefore, the equilibrium output is changed by $687.5.
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The balance sheet of Toronto Exports Inc. at December 31, 2019, presented the following shareholders' equity: (Click the icon to view the shareholders' equity section on the balance sheet.) During 202
The shareholders' equity section of the balance sheet of Toronto Exports Inc. on December 31, 2019, was reported as follows: Common shares: 450,000 shares outstanding, having a par value of $5 per share and selling at $25 per share. The company received $4,500,000 in cash for issuing the shares.
Preferred shares: 20,000 shares outstanding, having a par value of $50 per share and selling at $60 per share. The company received $1,200,000 in cash for issuing the shares.
Retained earnings: $3,725,000 in accumulated profits since the company was formed.Additional paid-in capital: $575,000 in amounts received for the issuance of shares above their par value. Treasury shares: The company purchased 10,000 common shares at $27 per share, for a total cost of $270,000. The shares are held in the company's treasury and are not considered outstanding.
Understanding Shareholders' Equity Shareholders' equity represents the residual interest in the assets of an entity after deducting its liabilities. It is the amount of capital that has been contributed by shareholders plus any accumulated earnings or losses. Shareholders' equity is presented on the balance sheet of a company under the category of equity or owner's equity.
The balance sheet reflects the financial position of a company at a specific point in time. It provides a snapshot of the company's assets, liabilities, and equity at the reporting date. The shareholders' equity section of the balance sheet includes the following components:
Common stock: This represents the amount of capital that has been contributed by shareholders in exchange for common shares. Preferred stock: This represents the amount of capital that has been contributed by shareholders in exchange for preferred shares.
Retained earnings: This represents the amount of accumulated profits or losses since the company was formed.
Additional paid-in capital: This represents the amount of capital that has been contributed by shareholders in excess of the par value of the shares. Treasury stock: This represents the shares of the company that have been repurchased by the company and are held in treasury. These shares are not considered outstanding and do not have voting rights.
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Chapter 20 Homework Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage Belmain Co. expects to maintain the same inventories at the end of 20Y7 as
1. Gross Profit - Total Expenses = $1,858,000 - $853,000 = $1,005,000
2. The expected contribution margin ratio for Belmain Co. in 20Y7 is approximately 69.65%.
1. Estimated Income Statement for Belmain Co., Year Ended December 31, 20Y7:
Revenue:
Sales (12,000 units * $240/unit) = $2,880,000
Cost of Goods Sold:
Direct materials: $50.00 * 12,000 units = $600,000
Direct labor: $6.00 * 12,000 units = $72,000
Factory overhead: $350,000
Total cost of goods sold = $1,022,000
Gross Profit:
Revenue - Cost of Goods Sold = $2,880,000 - $1,022,000 = $1,858,000
Expenses:
Selling expenses:
Sales salaries and commissions: $340,000
Travel: $116,000
Miscellaneous selling expense: $1.00 * 12,000 units = $12,000
Total selling expenses = $468,000
Administrative expenses:
Office and officers salaries: $325,000
Supplies: $4.00 * 12,000 units = $48,000
Miscellaneous administrative expense: $1.00 * 12,000 units = $12,000
Total administrative expenses = $385,000
Total Expenses = $468,000 + $385,000 = $853,000
Income from Operations:
Gross Profit - Total Expenses = $1,858,000 - $853,000 = $1,005,000
2. The expected contribution margin ratio is calculated by dividing the contribution margin by the revenue. The contribution margin is the difference between revenue and variable costs. In this case, the variable costs are the direct materials, direct labor, and variable selling and administrative expenses.
Contribution Margin:
Revenue - Variable Costs
= $2,880,000 - ($600,000 + $72,000 + $12,000 + $116,000 + $12,000 + $48,000 + $12,000)
= $2,880,000 - $872,000
= $2,008,000
Contribution Margin Ratio:
Contribution Margin / Revenue
= $2,008,000 / $2,880,000
≈ 0.6965 or 69.65%
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Note the complete questions is:
Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage Belmain Co, expects to maintain the same inventories at the end of 20Y7 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various departmem heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows: Estimated Varlable Cost Flxed Cost (per unit sold) Production costs Direct materials Direct labor Factory overhead $50.00 $350,000 6.00 Selling expenses: Sales salaries and commissions 340,000 116,000 Travel Miscellaneous selling expense 1.00 Administrative expenses Office and officers salaries Supplies Miscellaneous administrative expense 325,000 4.00 1.00 $96.00 $1,152,000 It is expected that 12,000 units will be sold at a price of $240 a unit. Maximum sales within the relevant range are 18,000 units. Required: 1. Prepare an estimated income statement for 20Y7 Belmain Co. Estimated Income Statement For the Year Ended December 31, 20Y7 1. Prepare an estimated income statement for 20Y7 Belmain Co. For the Year Ended December 31, 20Y7 Cost of goods sold: Total cost of goods sold Gross profit Expenses: Selling expenses: Total selling expenses Total expenses Income from operations 2. What is the expected contribution margin ratio?
Write 'T' if the statement is true and 'F' if the statement is false in the respective boxes below. Question No 1 (T or F)
1. When a country faces a recession, the economy will most likely experiences falling employment and falling income.
2. If the economy is going into a recession, an appropriate fiscal policy is to decrease government spending.
3. An expansionary fiscal policy increases aggregate demand and increases real GDP.
4. A monetary policy is a policy that deals with government's income and expenditure.
5. Saudi Arabia Monetary Agency (SAMA) can conduct an expansionary monetary policy by lowering the reserve requirement.
6. Automatic stabilizers are a type of monetary policy that happen automatically and tend to offset fluctuations in economic activity without direct intervention from policymakers.
7. Government budget deficit occurs when government expenditure is more than government revenue.
8. Crowing-out effect refers to the additional shifts in aggregate demand curve that result when fiscal policy increases income and thereby decreases consumer spending.
9. Government intervention to increase the value of the Saudi Riyal is called revaluation.
10. Both closed economies and open economies interact freely with other economies around the world.
1. True
2. False
3. True
4. False
5. True
6. True
7. True
8. False
9. True
10. False
Explanation:1. True: When a country faces a recession, the economy will most likely experience falling employment and falling income.
2. False: If the economy is going into a recession, an appropriate fiscal policy is to increase government spending, not to decrease it.
3. True: An expansionary fiscal policy increases aggregate demand and increases real GDP.
4. False: A monetary policy is a policy that deals with the money supply and interest rates, not government's income and expenditure.
5. True: Saudi Arabia Monetary Agency (SAMA) can conduct an expansionary monetary policy by lowering the reserve requirement.
6. True: Automatic stabilizers are a type of fiscal policy that happen automatically and tend to offset fluctuations in economic activity without direct intervention from policymakers.
7. True: Government budget deficit occurs when government expenditure is more than government revenue.
8. False: Crowding-out effect refers to the additional shifts in aggregate demand curve that result when government spending increases and thereby decreases private spending.
9. True: Government intervention to increase the value of the Saudi Riyal is called revaluation.
10. False: Closed economies do not interact freely with other economies around the world. Open economies do.
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company's cash-basis net income for the year ended december 31 was $75,000. the following information is from the company's accounting records: january 1 december 31 accounts receivable $15,000 $20,000 prepaid expenses 7,000 4,000 accrued liabilities 2,500 2,000 what is the accrual-basis net income?
The Accrual-Basis Net Income is $74,500.
Net income refers to the profit of a company, calculated after subtracting all its expenses from total revenue. In accounting, accrual-basis accounting is a method of recording financial transactions when the transaction occurs, irrespective of the cash transactions that will occur in the future.
With this information, the following formula is used to calculate the Accrual-Basis Net Income:
Net Income = Cash-Basis Net Income + (Ending Accruals - Beginning Accruals)
Where;
Beginning Accruals = Accruals at the beginning of the period
Ending Accruals = Accruals at the end of the period
Using the information provided above, the accrual-basis net income is calculated as follows:
Beginning Accruals = Accrued Liabilities at the beginning of the period
= $2,500
Ending Accruals = Accrued Liabilities at the end of the period
= $2,000
Net Income = Cash-Basis Net Income + (Ending Accruals - Beginning Accruals)
= $75,000 + ($2,000 - $2,500)
= $74,500
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London Confections is known for its rich dark chocolate fudge truffles. London sells its fudge truffles to local retailers. A "unit" of fudge truffles is a 10-pound batch. The standard quantities of ingredients for a batch include 11 cups of sugar, 17 ounces of chocolate chips, 21 ounces of butter, and 27 ounces of evaporated milk. The standard costs for each of the ingredients are as follows: $0.23 per cup of sugar, $0.20 per ounce of chocolate chips, $0.12 per ounce of butter, and $0.05 per ounce of evaporated milk. Calculate the standard direct material cost per batch of fudge truffles. Calculate the standard direct material (DM) cost per batch of fudge truffles.
The standard quantities of ingredients for a batch of fudge truffles sold by London Confections to local retailers are:
11 cups of sugar, 17 ounces of chocolate chips, 21 ounces of butter, and 27 ounces of evaporated milk.
The standard costs for each of the ingredients are as follows: $0.23 per cup of sugar, $0.20 per ounce of chocolate chips, $0.12 per ounce of butter, and $0.05 per ounce of evaporated milk.
The standard direct material (DM) cost per batch of fudge truffles can be calculated as follows:
Standard cost of sugar = 11 x $0.23 = $2.53
Standard cost of chocolate chips = 17 x $0.20 = $3.4
Standard cost of butter = 21 x $0.12 = $2.52
Standard cost of evaporated milk = 27 x $0.05 = $1.35
The total standard direct material cost per batch of fudge truffles can be calculated by adding the standard costs of all the ingredients:Total standard direct material cost per batch = $2.53 + $3.4 + $2.52 + $1.35 = $9.8
Therefore, the standard direct material cost per batch of fudge truffles sold by London Confections to local retailers is $9.8.
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9. A business has experienced the following labour costs: Output Cost (S) (units) 7,000 86,000 12,000 141,000 9,000 102,000 Fixed costs increase by $15,000 for output in excess of 10,000 units. Using
The labor costs and fixed costs for each output level are as follows:
Output (S) (units) Variable Labor Cost Fixed Costs
7,000 $12.29 per unit $0
12,000 $11.75 per unit $15,000
9,000 $11.33 per unit $0
To analyze the labor costs and fixed costs for the given output levels, we need to break down the information provided.
Output (S) (units) Cost
7,000 $86,000
12,000 $141,000
9,000 $102,000
First, let's calculate the variable labor cost per unit:
Variable Labor Cost per Unit = Total Variable Labor Cost / Total Output
For the output of 7,000 units, the variable labor cost is $86,000.
Variable Labor Cost per Unit = $86,000 / 7,000 = $12.29 per unit
For the output of 12,000 units, the variable labor cost is $141,000.
Variable Labor Cost per Unit = $141,000 / 12,000 = $11.75 per unit
For the output of 9,000 units, the variable labor cost is $102,000.
Variable Labor Cost per Unit = $102,000 / 9,000 = $11.33 per unit
Next, let's analyze the fixed costs. We know that for output in excess of 10,000 units, fixed costs increase by $15,000. However, we need to determine the specific fixed costs for each output level.
For the output of 7,000 units, we assume no increase in fixed costs because it does not exceed 10,000 units.
For the output of 12,000 units, fixed costs increase by $15,000 as it exceeds 10,000 units.
Fixed Costs = $15,000
For the output of 9,000 units, we assume no increase in fixed costs because it does not exceed 10,000 units.
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Blended payments on a 54000 loan were $425 per month interest was charged at 6.2% per annum calculated on the urpad balance. How mach of the first progeste Select one $2007 o Ob $9.41 Od $58.35 $404.3
$9.41 of the first payment is allocated towards the principal of the loan. The correct answer is option B.
To determine how much of the first payment is applied to the principal of the loan, we need to subtract the interest portion from the total payment.
The interest charged on the unpaid balance of the loan is calculated at an annual interest rate of 6.2%. Since the interest is calculated on the outstanding balance, we can determine the monthly interest by dividing the annual rate by 12 (number of months in a year).
Monthly interest = (6.2% / 12) * $54,000 = $279
Subtracting the interest from the monthly payment:
Principal payment = Total payment - Interest payment
Principal payment = $425 - $279 = $146
Therefore, the correct answer is option B: $9.41, indicating that $9.41 of the first payment is applied to the principal of the loan.
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Supply-side market failures occur when Multiple Choice a. supply curves don't reflect consumers' full willingness to pay for a good or service. b. supply curves don't reflect the full cost of producing a good or service. c. government regulates production of a good or service. d. a good or service is not supplied because no one wants it.
Supply-side market failures occur when (b)supply curves don't reflect the full cost of producing a good or service.
Supply-side market failures refer to situations where the market fails to allocate resources efficiently on the supply side of the market. One of the main causes of supply-side market failures is when supply curves do not reflect the full cost of producing a good or service. This means that the market does not take into account all the costs associated with producing and supplying the product, such as external costs or negative externalities. As a result, the market equilibrium does not reflect the true social costs of production, leading to an inefficient allocation of resources. Other options mentioned, such as government regulation or lack of demand, do not directly relate to supply-side market failures, as they primarily pertain to demand-side or market demand factors.
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answer both part b and c
2. Suppose that the government institutes a program to help unemployed workers learn new skills, find new jobs, and relocate as necessary to take the new jobs. a. What is the likely effect of this pro
The government's program to help unemployed workers learn new skills, find new jobs, and relocate as necessary can have several effects:
- Enhanced employability: The program equips workers with new skills, making them more attractive to potential employers.
- Reduced unemployment duration: Job search assistance and matching services help unemployed individuals find suitable employment faster.
- Geographic mobility: By facilitating relocation, the program allows workers to access job markets with better opportunities.
- Economic growth: Increased employment rates contribute to overall economic growth.
- Social well-being: The program improves the financial stability and well-being of unemployed workers and their families.
In summary, the program aims to enhance employability, reduce unemployment duration, promote geographic mobility, stimulate economic growth, and improve social well-being.
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managerial accounting
5 The Alpine House, Incorporated, is a large retailer of snow skis. The company assembled the information shown below for the quarter ended March 31: Amount Sales $ 1,040,000 Selling price per pair of
The traditional income statement and contribution format income statement for the quarter ended March 31 have been prepared. The contribution margin per unit for this quarter is $338.
Traditional Income Statement for the Quarter Ended March 31:
Sales: $1,040,000
Cost of Goods Sold:
Beginning Merchandise Inventory: $80,000
Add: Merchandise Purchases: $280,000
Less: Ending Merchandise Inventory:
Cost of Goods Sold: (80,000 + 280,000 - Ending Inventory)
Gross Profit: (Sales - Cost of Goods Sold)
Operating Expenses:
Variable Selling Expense: ($46 x Number of Skis Sold)
Variable Administrative Expense: ($16 x Number of Skis Sold)
Fixed Selling Expense: $150,000
Fixed Administrative Expense: $125,000
Total Operating Expenses: (Variable Selling Expense + Variable Administrative Expense + Fixed Selling Expense + Fixed Administrative Expense)
Net Income: (Gross Profit - Total Operating Expenses)
Contribution Format Income Statement for the Quarter Ended March 31:
Sales: $1,040,000
Variable Expenses:
Variable Selling Expense: ($46 x Number of Skis Sold)
Variable Administrative Expense: ($16 x Number of Skis Sold)
Contribution Margin: (Sales - Variable Expenses)
Fixed Expenses:
Fixed Selling Expense: $150,000
Fixed Administrative Expense: $125,000
Net Income: (Contribution Margin - Fixed Expenses)
Contribution Margin per Unit:
The contribution margin per unit can be calculated by subtracting the variable expenses per unit from the selling price per unit. In this case:
Contribution Margin per Unit = Selling Price per Pair of Skis - Variable Selling Expense per Pair of Skis - Variable Administrative Expense per Pair of Skis
Contribution Margin per Unit = $400 - $46 - $16
Contribution Margin per Unit = $338
Therefore, the contribution margin per unit for this quarter is $338.
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Complete question:
The Alpine House, Incorporated, is a large retailer of snow skis. The company assembled the information shown below for the quarter ended March 31: Amount Sales $ 1,040,000 Selling price per pair of skis $ 400 Variable selling expense per pair of skis $ 46 $16 Variable administrative expense per pair of skis Total fixed selling expense $ 150,000 Total fixed administrative expense $ 125,000 Beginning merchandise inventory $ 80,000 Ending merchandise inventory Merchandise purchases $ 120,000 $ 280,000 Required: 1. Prepare a traditional income statement for the quarter ended March 31. 2. Prepare a contribution format income statement for the quarter ended March 31. 3. What was the contribution margin per unit?
Which of the following processes in project time management involves identifying the specific tasks that the project team members and stakeholders must perform to produce the project deliverables?
a) Defining activities
b) Sequencing activities
c) Developing the schedule
d) Estimating activity durations
Defining activities involves identifying the specific tasks that the project team members and stakeholders must perform to produce the project deliverables. Therefore, option A is correct.
The process in project time management that involves identifying the specific tasks that the project team members and stakeholders must perform to produce the project deliverables is called "Defining activities." This process is a part of the project planning phase and is crucial for creating a comprehensive project schedule.
During the "Defining activities" process, the project team breaks down the project scope into smaller, manageable activities. These activities are specific actions or tasks that need to be completed to accomplish the project objectives. The team identifies the dependencies between activities, determines the resources required, and establishes the sequence in which the activities should be performed.
Sequencing activities (option B) is the process of determining the logical order in which the identified activities should be executed.
Developing the schedule (option C) involves analyzing the sequence of activities, estimating their durations, and creating a project schedule that outlines the start and finish dates for each activity.
Estimating activity durations (option D) is the process of approximating the amount of time needed to complete each activity.
The correct answer is A) Defining activities. This process involves identifying the specific tasks required to produce the project deliverables and is an essential step in project time management.
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Which of the following are integral parts of the five step managerial process of crafting and executing a strategy? Setting objectives, crafting a strategy, and implementing and executing the chosen strategy Setting objectives, developing a proven business model, and choosing what business approaches and operating practices to employ Deciding on the company's strategic intent, crafting a strategy, and making corrective adjustments as needed Developing a proven business model, deciding on the company's strategic intent, and crafting a strategy Developing the vision/mission/core values, setting objectives, crafting a strategy, executing the chosen strategy, and revising it as necessary to sustain competitive advantage
The following are integral parts of the five-step managerial process of crafting and executing a strategy: Setting objectives, crafting a strategy, and implementing and executing the chosen strategy.
The five-step managerial process of crafting and executing a strategy include the following integral parts: Setting objectives: Crafting a strategy, Implementing and executing the chosen strategy. Evaluating performance and making corrective adjustments Setting objectives: Setting objectives is the first and foremost step in the strategic management process. The company's strengths, weaknesses, opportunities, and threats are assessed to create a comprehensive strategy that aligns with the company's objectives. Implementing and executing the chosen strategy: The third step is the implementation and execution of the chosen strategy. This includes allocating resources, organizing and staffing the organization, and creating policies and procedures to achieve the goals and objectives of the strategy. Evaluating performance and making corrective adjustments: The final step is to evaluate performance to ensure that the strategy is successful in achieving the organization's objectives. If the strategy is not working, corrective adjustments can be made to improve performance.
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briefly describe an organization with which you are familiar. describe a situation when a manager in that organization could use cost behavior information and how the manager could use the information.
One organization that I'm familiar with is a manufacturing company. In this organization, cost behavior information can be useful to the manager when they are making decisions on pricing and production levels.
In order to make informed decisions on the best pricing strategy, the manager needs to understand how changes in production levels will impact the cost of goods sold. By analyzing the behavior of costs, the manager can estimate how much it costs to produce one unit of a product, and thus set a price that will cover all the costs while still making a profit.The manager can also use cost behavior information to determine the optimal production levels.
For instance, if the company produces a certain product that has a fixed cost component, such as rent and salaries, and a variable cost component, such as raw materials and labor, the manager can use the knowledge of cost behavior to determine the number of units that should be produced to minimize costs per unit.
By doing so, the company can increase profitability by reducing the cost of production.Besides, cost behavior information can be useful in budgeting and forecasting as well. The manager can use past data on cost behavior to make informed decisions on the allocation of resources, predict future costs, and develop strategies for cost reduction.
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Seoul Specialty Hospital (SSH) has just purchased a five-year membership in the Korean Hospital Association (KHA). The membership costs $10,000 and KHA has sent SSH a bill that must be paid within ninety days. How would SSH record this transaction. (Hint: Be sure to distinguish between the long and short term aspects of the transaction.)
Seoul Specialty Hospital has just purchased a five-year membership in the Korean Hospital Association (KHA) costing $10,000 and the bill must be paid within ninety days. The hospital should record the transaction as a liability and then classify it as either a current liability or a long-term liability depending on the payment schedule.
The Seoul Specialty Hospital (SSH) would record the transaction as a liability in its accounting books. The hospital would classify this liability as either a current liability or a long-term liability, depending on the payment schedule.The bill for the five-year membership that costs $10,000 should be recorded as a liability in the books of the hospital. A liability is a debt or an obligation that the hospital owes to another party. In this case, the hospital owes $10,000 to the Korean Hospital Association (KHA) for the five-year membership.In terms of the payment schedule, the hospital should classify this liability as either a current liability or a long-term liability. A current liability is a debt that the hospital is expected to pay within the next 12 months. A long-term liability is a debt that the hospital is expected to pay after more than 12 months have passed from the balance sheet date.In this case, the bill must be paid within 90 days. Therefore, the hospital should classify this liability as a current liability. If the payment schedule were longer than 12 months, the hospital would classify this liability as a long-term liability. In conclusion, the hospital should record the transaction as a liability and then classify it as either a current liability or a long-term liability depending on the payment schedule.
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A company purchased 80 units for $20 each on January 31. It purchased 170 units for $35 each on February 28. It sold 170 units for $60 each from March 1 through December 31. If the company uses the first - in, first-out inventory costing method, what is the amount of Cost of Goods Sold on the income statement for the year ending December 31? (Assume that the company uses a perpetual inventory system.)
The amount of Cost of Goods Sold on the income statement for the year ending December 31, using the FIFO inventory costing method, would be $4,750.
First, let's determine the cost of the units sold. Since the FIFO method assumes that the units sold are the ones purchased first, we need to allocate the cost of the units accordingly.
The first 80 units sold will be from the January 31 purchase. The cost of these units is $20 each.
Cost of units sold from January 31 purchase = 80 units * $20 = $1,600
The remaining 90 units sold will be from the February 28 purchase. The cost of these units is $35 each.
Cost of units sold from February 28 purchase = 90 units * $35 = $3,150
Now, we can calculate the total Cost of Goods Sold:
Total Cost of Goods Sold = Cost of units sold from January 31 purchase + Cost of units sold from February 28 purchase
Total Cost of Goods Sold = $1,600 + $3,150
Total Cost of Goods Sold = $4,750
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You have just been advised that your organization is opening an office in Québec. Describe the employer contributions that are specific to the province of Québec, their rates and thresholds where available. (Do not include the organization’s portion of the statutory deductions.)
If your organization is opening an office in Québec, it is important to understand the employer contributions specific to the province of Québec.
These contributions and their rates and thresholds are outlined below:
1. Quebec Pension Plan (QPP) QPP is a mandatory retirement plan that provides retirement, survivor, and disability benefits. Employers must make contributions on behalf of their employees. The maximum employer contribution rate for 2021 is 6.37% on earnings up to a maximum annual amount of $61,600.
2. Quebec Parental Insurance Plan (QPIP)QPIP is a mandatory insurance plan that provides income replacement to eligible parents on parental leave. Employers must make contributions on behalf of their employees. The maximum employer contribution rate for 2021 is 0.496% on earnings up to a maximum annual amount of $83,500.
3. Quebec Health Services Fund (QHSF)QHSF is a fund that provides funding for the healthcare system in Québec. Employers must make contributions on behalf of their employees. The contribution rate for 2021 is 2.7% on total payroll up to a maximum annual amount of $82,700.
4. Commission des normes, de l'équité, de la santé et de la sécurité du travail (CNESST)CNESST is a government agency responsible for enforcing occupational health and safety standards in Québec. Employers must make contributions to CNESST on behalf of their employees. The contribution rate for 2021 varies by industry and ranges from 0.12% to 2.12% on total payroll up to a maximum annual amount of $89,500.It is important to note that these rates and thresholds are subject to change each year. Employers should stay up to date on the latest changes to ensure compliance with Québec's employment laws and regulations.
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In the Table 3-2 (chapter 3, 10th Edition of the Textbook) from your managerial economics textbook, you will see the own price elasticity of different markets in the short-term and in the long-term.
Market Own Price Elasticity
Whole milk -1.1
Milk -0.2
Meat Beef -0.4
Steak -0.6
Tea -1.1
Pepper -0.2
a. In the short-term, what are the markets in which the demand is elastic and inelastic. Explain your answer!
b. Suppose the price in each market is expected to increase in the short-term by 5%. How will this affect the sales (in other words, the quantity demanded) in each market. Explain your answer!
c. As we transition from short-term to long-term, what do you notice in the elasticity in the different markets? Could you explain what you observed?
The answer to the question is given in parts with explanation.
a. Elastic and inelastic markets in the short-term: In the short-term, demand is elastic if the absolute value of price elasticity is greater than 1.0. For the markets above, the short-term demand for Whole milk and Tea is elastic with elasticity coefficients of -1.1 and -1.1, respectively. On the other hand, demand is inelastic when the absolute value of price elasticity is less than 1.0. Milk, Meat Beef, Steak, and Pepper are inelastic in the short run with elasticity coefficients of -0.2, -0.4, -0.6, and -0.2, respectively.
Explanation:
For Whole milk and Tea, a small increase in price leads to a substantial decrease in quantity demanded (greater than 1.0). Conversely, for Milk, Meat Beef, Steak, and Pepper, a small increase in price leads to a less substantial decrease in quantity demanded (less than 1.0). Thus, the demand is more responsive to price changes for Whole milk and Tea than for Milk, Meat Beef, Steak, and Pepper in the short term.
b. Effect of a 5% price increase on sales (quantity demanded):
The following effects are expected on sales (quantity demanded) due to a 5% increase in price in each market:
Whole milk: A 5% increase in price will result in a 5.5% reduction in quantity demanded (1.1 x 5%).
Tea: A 5% increase in price will result in a 5.5% reduction in quantity demanded (1.1 x 5%).
Milk: A 5% increase in price will result in a 1% reduction in quantity demanded (0.2 x 5%).
Meat Beef: A 5% increase in price will result in a 2% reduction in quantity demanded (0.4 x 5%).
Steak: A 5% increase in price will result in a 3% reduction in quantity demanded (0.6 x 5%).
Pepper: A 5% increase in price will result in a 1% reduction in quantity demanded (0.2 x 5%).
Explanation:
For elastic markets such as Whole milk and Tea, a small increase in price leads to a substantial decrease in quantity demanded. A 5% increase in price would cause a 5.5% reduction in quantity demanded for these products. For inelastic markets such as Milk, Meat Beef, Steak, and Pepper, a small increase in price leads to a less substantial decrease in quantity demanded. Thus, a 5% increase in price would cause a less than 5.5% reduction in quantity demanded.
c. Transition from short-term to long-term:
In the short-term, some consumers may continue to purchase the product even if the price increases. This means that the quantity demanded may not change significantly. As a result, price elasticity in the short-term is usually smaller than the price elasticity in the long-term.In the long-term, consumers have more time to adjust their consumption and search for substitutes, so the demand becomes more responsive to price changes. As a result, in the long-term, the price elasticity of demand tends to be higher than the price elasticity of demand in the short-term.
Explanation:
For Whole milk and Tea, demand is highly responsive to price changes, with short-term price elasticity coefficients of -1.1. Since consumers have more time to adjust their consumption and look for alternatives in the long-term, the price elasticity of demand will likely be even greater in the long-term.For Milk, Meat Beef, Steak, and Pepper, demand is less responsive to price changes, with short-term price elasticity coefficients ranging from -0.2 to -0.6. In the long-term, the price elasticity of demand will be greater than in the short-term, although it will still be less elastic than that of Whole milk and Tea.
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a) Define the term externalities and give two examples of positive externalities and two examples of negative externalities.
b) Describe the characteristics Public Goods and Private Goods and suggest two examples of each good.
c) With your knowledge of market failure, briefly explain the two types of economic efficiencies that should be achieved.
a) The examples of positive externalities is; Education, Vaccination, and Negative Externalities is; Pollution, Noise Pollution. b) Characteristics of Public Goods; Non-excludability, Non-rivalry, and Characteristics of Private Goods; Excludability, Rivalry. c) Economic efficiencies are; Allocative, Productive.
Externalities refer to the spillover effects of economic activities on parties not directly involved in the activity, resulting in costs or benefits that are not reflected in market prices. Externalities can be positive or negative.
Positive Externalities;
Education: When an individual receives education, it not only benefits them directly but also has positive spillover effects on society by increasing overall knowledge, productivity, and innovation.
Vaccinations: When individuals get vaccinated, it not only protects them from diseases but also provides a positive externality by reducing the spread of diseases to others in the community.
Negative Externalities;
Pollution: Industrial activities that release pollutants into the air or water can have negative externalities by causing harm to the environment and human health.
Noise Pollution: Excessive noise from construction sites, traffic, or loud events can have negative externalities by causing annoyance, stress, and health issues for individuals in the surrounding area.
Characteristics of Public Goods;
Non-excludability: Once provided, it is difficult to exclude individuals from enjoying the benefits of a public good.
Non-rivalry: Consumption of the good by one individual does not diminish its availability or consumption by others.
Examples of Public Goods;
Street Lighting: Street lighting provides illumination for everyone in the vicinity and is difficult to exclude individuals from benefiting from it.
National Defense: Defense systems and military protection benefit the entire population and cannot be limited to only those who pay for it.
Characteristics of Private Goods;
Excludability: Producers can exclude individuals from consuming the good if they do not pay for it.
Rivalry: Consumption of the good by one individual reduces its availability or consumption by others.
Examples of Private Goods;
Food: Food products can be purchased and consumed by individuals, and one person's consumption reduces the available quantity for others.
Cars: Cars are privately owned and can be used exclusively by their owners, with one person's use preventing others from using the same car.
Economic efficiencies that should be achieved are;
Allocative Efficiency: This occurs when resources are allocated in a way that maximizes societal welfare. It means that resources are distributed to produce the combination of goods and services that best satisfies people's preferences and needs. Allocative efficiency is achieved when the marginal benefit of consuming a good equals its marginal cost.
Productive Efficiency: This refers to producing goods and services at the lowest possible cost while utilizing resources efficiently. It means achieving the maximum output from given inputs or resources. Productive efficiency is achieved when goods and services are produced at the lowest possible average cost, minimizing waste and inefficiency.
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1. When there are adaptive expectations, it implies that there is persistence (inertia) in inflation:
2. It implies neutrality of money in the short term:
3. It can be derived from the upward sloping aggregate supply curve:
4. Changes in inflation expectations imply a movement on the curve:
5. Inflation would be 4% if the unemployment rate is 1 percentage point above its natural level; 3= 0.5; and expectations are 4%:
6. If the sensitivity of inflation to cyclical unemployment is 0.5, to reduce inflation by 1 percentage point, 0.5 percentage points of unemployment must be sacrificed:
True: When there are adaptive expectations, it means that individuals base their expectations of future inflation on past inflation.
True: When there are adaptive expectations, it means that individuals base their expectations of future inflation on past inflation. This implies that if there is persistence or inertia in inflation, where past inflation rates influence current and future inflation rates, it is consistent with the concept of adaptive expectations.False: The neutrality of money in the short term refers to the idea that changes in the money supply do not have an immediate impact on real variables such as output and employment. It suggests that in the short run, changes in the money supply primarily affect nominal variables, such as prices and inflation, rather than real economic activity.True: The upward sloping aggregate supply curve suggests that as output increases, firms need to hire more inputs, leading to higher costs and potentially higher prices. This positive relationship between output and prices supports the notion that changes in aggregate supply can affect inflation.False: Changes in inflation expectations do not necessarily imply a movement on the curve. Inflation expectations can influence economic behavior and decisions, including wage-setting and price-setting decisions, which can, in turn, affect the aggregate supply or demand. Changes in inflation expectations can lead to shifts in the aggregate supply or demand curves, rather than movements along the curves.False: The relationship between inflation and the unemployment rate is described by the Phillips curve. The specific values given in the statement do not align with the standard Phillips curve relationship. The Phillips curve suggests a negative relationship between unemployment and inflation, meaning that lower unemployment is associated with higher inflation, and vice versa.False: The sensitivity of inflation to cyclical unemployment, also known as the Phillips curve slope, indicates the responsiveness of inflation to changes in cyclical unemployment. However, reducing inflation by 1 percentage point does not necessarily mean sacrificing 0.5 percentage points of unemployment. The trade-off between inflation and unemployment, as described by the Phillips curve, is not always linear, and the specific relationship between changes in inflation and unemployment depends on various factors and economic conditions.The correct question is:
Please mark true or false for the following statements.
1. When there are adaptive expectations, it implies that there is persistence (inertia) in inflation:
2. It implies neutrality of money in the short term:
3. It can be derived from the upward sloping aggregate supply curve:
4. Changes in inflation expectations imply a movement on the curve:
5. Inflation would be 4% if the unemployment rate is 1 percentage point above its natural level; 3= 0.5; and expectations are 4%:
6. If the sensitivity of inflation to cyclical unemployment is 0.5, to reduce inflation by 1 percentage point, 0.5 percentage points of unemployment must be sacrificed.
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Assume labour is the only factor of production in countries Anarres and Urras. In Anarres, production of 1 heat pump requires 3 hours of labour input and 1 solar panel requires 2 hours of labour input. In Urras, production of 1 heat pump requires 6 hours of labour input and 1 solar panel requires 3 hours of labour input. Determine which ONE of the following is a valid terms of trade between the two countries at which they will both benefit from trade: A 2.25 solar panels for each heat pump. B 2 solar panels for each heat pump. C 1.75 solar panels for each heat pump. D 1.5 solar panels for each heat pump.
The correct answer is option (D) 1.5 solar panels for each heat pump. Here is the explanation: Given, In Anarres, the production of 1 heat pump requires 3 hours of labor input.
Production of 1 solar panel requires 2 hours of labor input. In Urras, Production of 1 heat pump requires 6 hours of labor input. Production of 1 solar panel requires 3 hours of labor input. The opportunity cost of production of 1 heat pump in Anarres is equal to the cost of production of 2 solar panels. The opportunity cost of production of 1 solar panel in Anarres is equal to the cost of production of 1.5 heat pumps. The opportunity cost of production of 1 heat pump in Urras is equal to the cost of production of 0.5 solar panels. The opportunity cost of production of 1 solar panel in Urras is equal to the cost of production of 2 heat pumps. Therefore, Anarres should export solar panels to Urras and Urras should export heat pumps to Anarres. To get the mutually beneficial exchange rate, we need to see how much labor time is required to produce one unit of each good in both countries.
In Anarres, 1 heat pump costs 3 hours of labor while 1 solar panel costs 2 hours of labor. Thus, the opportunity cost of producing 1 solar panel in Anarres is 1.5 heat pumps. In Urras, 1 heat pump costs 6 hours of labor while 1 solar panel costs 3 hours of labor. Thus, the opportunity cost of producing 1 solar panel in Urras is 2 heat pumps.Now we can see that the opportunity cost of producing one heat pump in Anarres is lower than that in Urras, while the opportunity cost of producing one solar panel is higher in Anarres. So, Anarres should specialize in producing solar panels and Urras should specialize in producing heat pumps. To make trade mutually beneficial, the exchange rate should lie between 1.5 and 2 solar panels per heat pump. Hence, the valid terms of trade is 1.5 solar panels for each heat pump.
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A firm has a cash conversion cycle of 60 days and average payment period of 40 days. The firm's operating cycle is _____ days. OA) 50 OB B) 30 C) 20 D) 100
The firm's operating cycle is 100 days. The Option D.
What is the firm's operating cycle?An operating cycle refers to the time it takes a company to buy goods, sell them and receive cash from the sale of said goods.
The operating cycle can be calculated by adding the average payment period to the cash conversion cycle:
Operating Cycle = Cash Conversion Cycle + Average Payment Period
Operating Cycle = 60 days + 40 days
Operating Cycle = 100 days.
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The following is the adjusted trial balance for Stockton Company.
Stockton Company
Adjusted Trial Balance
December 31
Cash 6,251 Accounts Receivable 2,932 Prepaid Expenses 681 Equipment 15,763 Accumulated Depreciation 5,430
Accounts Payable 1,769
Notes Payable 5,527
Common Stock 1,000
Retained Earnings 9,780
Dividends 746 Fees Earned 6,385
Wages Expense 2,099 Rent Expense 738 Utilities Expense 326 Depreciation Expense 269 Miscellaneous Expense 86 Totals 29,891 29,891
Determine the retained earnings ending balance.
a.$11,901
b.$2,867
c.$29,891
d.$10,780
The retained earnings ending balance is $11,901, which corresponds to option a.
To determine the retained earnings ending balance, we need to consider the beginning balance of retained earnings and the changes during the period.
In this case:
Retained Earnings beginning balance = $9,780
Dividends = $746
Net Income = Fees Earned - (Wages Expense + Rent Expense + Utilities Expense + Depreciation Expense + Miscellaneous Expense)
Let's calculate the net income:
Net Income = $6,385 - ($2,099 + $738 + $326 + $269 + $86)
Net Income = $6,385 - $3,518
Net Income = $2,867
To calculate the retained earnings ending balance, we can use the formula:
Retained Earnings ending balance = Retained Earnings beginning balance + Net Income - Dividends
Retained Earnings ending balance = $9,780 + $2,867 - $746
Retained Earnings ending balance = $11,901
Therefore, the correct answer is option a.
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You plan to invest $5,000 per year in an account that pays you the highest interest rate. Bank A has a plan that guarantees $30,000 balance for you after 5 years, and Bank B guarantees a $37,800 balance after 6 years. Create a spreadsheet that would help you compute the interest rates offered by the two banks (to 2 places of decimal) and state which bank you'll select based on the highest interest rate only. Copy and paste the spreadsheet below and state the Excel function you used to help you calculate the interest rates. Provide an explanation.
The interest rate offered by Bank A is 14.87%.
The interest rate offered by Bank B is 10.99%.
I will select Bank A as it offers higher interest rate.
What are the interest rates offered by Bank A and Bank B?To know interest rates offered by the two banks, we will use the formula for compound interest: [tex]A = P(1 + r/n)^{nt}[/tex]
For Bank A:
A = $30,000
P = $5,000/year
n = 1 (compounded annually)
t = 5 years
$30,000 = $5,000(1 + r/1)^(1*5)
6 = (1 + r)^5
(1 + r) = 6^(1/5)
1 + r ≈ 1.1487
r = 0.1487.
For Bank B:
A = $37,800
P = $5,000/year
n = 1 (compounded annually)
t = 6 years
$37,800 = $5,000(1 + r/1)^(1*6)
7.56 = (1 + r)^6
(1 + r) = 7.56^(1/6)
1 + r ≈ 1.1099
r = 0.1099.
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