The lengths of service of all the executives employed by Standard Chemicals are:

Name Years
Mr. Snow 20
Ms. Tolson 22
Mr. Kraft 26
Ms. Irwin 24
Mr. Jones 28

(a) Using the combination formula, how many samples of size 2 are possible?
(b) List all possible samples of 2 executives from the population and compute their means.
(c) Organize the means into a sampling distribution.
(d) Compare the population mean and the mean of the sample means.

Answers

Answer 1

Solution :

a). There are total 5 executives. Therefore the possible sample size of 2 is

[tex]$^nC_r=\frac{n!}{r!(n-r)!}$[/tex]

[tex]$^5C_2=\frac{5!}{2!(5-2)!}$[/tex]

      [tex]$=\frac{5!}{2! \ 3!}$[/tex]

     = 10

So, there are 10 possible ways for selection of sample size of 2.

b).

     Sample          Samples of service length            Sample mean

Snow, Tolson               20, 22                                    (20+22)/2 = 21  

Snow, Kraft                   20, 26                                         23

Snow, Irwin                   20, 24                                         22

Snow, Jones                 20, 28                                         24

Tolson, Kraft                 22, 26                                         24

Tolson, Irwin                 22, 24                                         23

Tolson, Jones               22, 28                                         25

Kraft, Irwin                     26, 24                                         25

Kraft, Jones                   26, 28                                         27

Irwin,Jones                    24, 28                                         26

c). The mean and the standard deviation of the means of the sampling distribution is given by :

[tex]$\bar{X}= \sum_{i-1}^{10}\frac{\bar{x}_i}{n}$[/tex]

   [tex]$=\frac{21+23+22+24+24+23+25+25+27+26}{10}$[/tex]

   [tex]$=\frac{240}{10} $[/tex]  

  = 24

The variance of the sample means :

[tex]$S^2=\frac{1}{n}\sum_{i-1}^{10}\left(\bar x_i - \bar X \right)^2$[/tex]

   [tex]$=\frac{1}{10}\sum_{i-1}^{10}\left(\bar x_i - 24 \right)^2$[/tex]

  [tex]$=\frac{1}{10}\times(30)$[/tex]

  = 3

Therefore the standard  deviation of the sample means is

[tex]$S=\sqrt{variance}$[/tex]

  [tex]$=\sqrt3$[/tex]

  = 1.732

d). The population means is given by:

[tex]$\mu =\frac{20+22+26+24+28}{5}$[/tex]

  [tex]$=\frac{120}{5}$[/tex]

  = 24

Therefore, we can say that the mean of the sample means is a point estimate of the population mean.


Related Questions

Bolt Corp. acquires equipment valued at $81,630 by signing a 3-year noninterest-bearing note payable for $100,000. Calculate the implicit interest rate on the note.

Answers

Answer:

7%

Explanation:

Calculation for the implicit interest rate on the note

First step is to calculate the PV factor

PV factor=$81,630/100,000

PV factor = 0.81630

Last Step is to find the implicit interest rate by using the PV table for 3 years to find the factor that matches the PV factor of 0.81630

Hence the factor that matches the PV factor of 0.81630 can be found or see in the 7% column which means that the implicit interest rate will be 7%

Therefore the implicit interest rate on the note will be 7%

Who is the founder of royal crown hotel ??

Answers

Trump is the founder of it

Naomi complains to Andy that he "hasn’t been here – until now, when we’re in crisis mode." Based on this statement, Andy is most likely viewed as a(n) ________ leader by Naomi.

a. passive management by exception
b. active management by exception
c. transformational
d. laissez-faire
e. contingent reward

Answers

Answer: a. passive management by exception

Explanation:

Even though this might sound like it is laissez-faire leadership, it is not.

This is a passive management by exception leadership style and a leader that does this is usually inactive and absent from their duties unless mistakes are being made or crisis are popping up that need to be fixed. They will then spring into action to mitigate the adverse effects of their absence.

This is different from laissez-faire leadership because in laissez-faire, the leader is simply absent even during crisis.

Based on the given statement, it is the passive management by exception that leader by Naomi.

The following information should be considered related to the  passive management by exception :

In this, the leader is not active also it is absent from the duties until the mistakes should be made or the crisis should be popping up the requirement to be fixed. After this, there is the transformation of the spring into action for decreasing the opposite impacts.

Therefore we can conclude that the correct option is a.

Learn more: brainly.com/question/16115373

identify items that can be included under cash,articulate the risks and controls typically associated with these accounts and summarize an audit approach for testing these accounts​

Answers

Answer:

Items of Cash : Cash and Till float

Risks : Fraud and Theft

Controls : Segregation of duties over the receipt and recording of money and Every cashier should only be responsible for his own funds.

Test of Controls : Do a surprise cash count and Enquire about and observe the controls over cash by management

Explanation:

Bank and cash transactions occur on a daily basis in all businesses. Although the cash and bank balances may not individually be significant, annually the volume of cash and payment transactions and bank deposits can be significant to the entity.

Items of Cash

Cash balances comprise the following:

Cash Petty cash Till float Unbanked receipts

Risks

Cash is highly susceptible to fraud and theft by employees, often in collusion with third parties.

To mitigate this risk related to cash balances, management will usually implement strict control policies and procedures for cash handling and recording.

Controls in the bank and cash cycle can be divided into 2 categories:

Basic controls Controls over cash

Basic Controls

Segregation of duties over the receipt and recording of money. Different forms of cash (sales, petty cash, cash loans) should be kept separately and recorded separately.Proper stationery control. Receipts, cash sales slips/invoices must be numerically recordedSafeguarding of money. Cash must be locked in a Volt and deposited as soon as possible. You would also need control over the key to the Volt.

Control over Cash

Cashier must balance cash on a daily basis and must compare it with the source documents (receipt, cash invoices, cash register totals) and record it on a cash receipt summary. The Cash Receipt Summary must be Signed by the Cashier, Independently reviewed by the Senior Official.Every cashier should only be responsible for his own funds. Usually during lunch. Cash registers must be locked away.Every cashier should be responsible for his own float. They should lock in Cash Drawer.Supervision over cashiers. Through the use of Cameras.Cash must be banked as soon as possible.

Audit approach for testing these accounts

Enquire about and observe the controls over cash by management.Do a surprise cash count (also attend on a surprise basis the daily balancing of cash). In the presence of a Cashier who signs back of the receipt, agree the cash with the supporting documentation (receipts, cash invoices, cash register total) and follow the float through to the balance in the ledger.At a later stage follow the cash counted through to deposit slip, and agree it with the cash counted, ensure they are banked timeously and follow the total of the deposit slip through to the cash book and bank statement.

Four years ago your firm issued a $1,000 par bond with a 4% semi-annual coupon and 20 years to maturity. The bond is now priced at $860. What is the current yield to maturity of the bond?

Answers

Answer:

the current yield to maturity of the bond is 5.31%

Explanation:

The computation of the yield to maturity is shown below:

Given that

Future value = $1,000

Present value = $860

NPER = (20 - 4) × 2 = 16

PMT = $1,000 × 4% ÷ 2 = $20

The formula is shown below:

= RATE(NPER;PMT;-PV;FV;TYPE)

The present values comes in negative

After applying the above formula, the yield to maturity is

= 2.6548% × 2

= 5.31%

Hence, the current yield to maturity of the bond is 5.31%

UPS has a beta of 1.5 and FedEx has a beta of 0.9. The risk-free rate is 4% and the market risk premium is 7%. If the portfolio comprised of these two stocks has a beta equal to 1.08, what are the portfolio weights of UPS and FedEx

Answers

Answer and Explanation:

The computation of the portfolio weighted of UPS and FedEx is shown below:

Let us assume the weight of UPS be x

And, the weight of FedEx be (1 - x)

As we know that

Portfolio beta = Respective beta × Respective weight

1.08 = (x × 1.5) + (1 - x) × 0.9

1.08 = 1.5x + 0.9 - 0.9x

x = (1.08 - 0.9) ÷ (1.5 - 0.9)

x = 0.30 or 30%

= UPS weight

And, the weight of FedEx is

= 1 - x

= 1 - 0.30

= 0.70

If the yield to maturity (the market rate of return) of a bond is less than its coupon rate, the bond should be:_______.a. selling at a discount; i.e., the bond's market price should be less than its face (maturity) value.
b. selling at a premium; i.e., the bond's market price should be greater than its face value.
c. selling at par; i.e., the bond's market price should be the same as its face value.
d. purchased because it is a good deal.

Answers

Answer:

b. selling at a premium; i.e., the bond's market price should be greater than its face value.

Explanation:

In the case when the market rate of return or yield to maturity is lower than the coupon rate this represents that the bond sells at a premium i.e. the market price of the bond is more than the face value

Let us suppose the market price of the bond is $1,050

And, the face value is $1,000

So the bond is sold at a premium

hence, the correct option is b.

A methods and measurements analyst needs to develop a time standard for a certain task. In a preliminary study, he observed one of his workers perform this task five times, with the following results:

Observation --- 1 --- 2 --- 3 --- 4 --- 5
Time(seconds) 84 ---76 - -80 --84 --76

How many observations should be made if the analyst wants to be 99.74 percent confident that the maximum error in the observed time is two seconds?

a. 25
b. 6
c. 49
d. 5
e. 36

Answers

Answer:

e. 36

Explanation:

Number of observations needed, n = (z *s / h) ^2

Where,  z = number of standard deviation needed for desired confidence level of 99.74% = 3, s = Standard Deviation of task = 4 seconds, h = maximum error in the observed time = 2 seconds.

n = (3*4/ 2) ^2

n = (12/2) ^2

n = 6^2

n = 36 observations

Thus, the number of observations needed in the task is 36 observations

An investor can invest money with a particular bank and earn a stated interest rate of 8.80%; however, interest will be compounded quarterly. What are the nominal (or stated), periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate 8.80% Periodic rate 6.12% Effective annual rate 9.00%

Answers

Answer:

nominal interest rate = 8.8%

periodic interest rate = 2.2%

the effective interest rate = 9.09%

Explanation:

nominal interest rate is the rate given to the investor = 8.8%

periodic interest rate = nominal interest rate / total number of compounding periods per year = 8.8% / 4 = 2.2%

the effective interest rate = (1 + periodic interest rate)ⁿ - 1 = (1 + 8.8%/4)⁴ - 1 = (1 + 8.8%/4)⁴ - 1 = (1 + 2.2%)⁴ - 1 = 1.0909 - 1 = 0.0909 = 9.09%

If a person deposits $1,000 now into a savings account for 10 years, the amount of money required in year 10 to account for a 6% per year inflation and earn a real 8% per year interest rate is closest to what?

Answers

Answer:

$3,707.22

Explanation:

the nominal interest rate that this person wants = real interest rate + inflation rate = 8% + 6% = 14%

this means that his/her account needs to earn 14% per year in order to gain an 8% real interest rate with a 6% inflation rate:

future value = present value x (1 + r)ⁿ

present value = $1,000r =14%n = 10

future value = $1,000 x (1 + 14%)¹⁰ = $3,707.22

Charging off the cost of a wastebasket with an estimated useful life of 10 years as an expense of the period when purchased is an example of the application of the

Answers

Answer:

E. materiality concept

Explanation:

The materiality concept refers to a concept in which it impacts the decisions of the user if there is any small impact. In other words, any small impact could change the user decisions with respect to the financial statement i.e. relevant and useful

Therefore according to the given situation, the Option E is correct

And all the other options are incorrect

A 10 percent decrease in the price of a Pepsi decreases the demand for a Coca-Cola by 50 percent. The cross elasticity of demand between a Pepsi and Coca-Cola is ?

Answers

Answer:

the cross elasticity of demand between a Pepsi and Coca-Cola is  5

Explanation:

The computation of the cross elasticity of demand is shown below:

= Percentage change in quantity demanded of one product ÷ percentage change in the price of other product

= -50 ÷ -10

= 5

Hence, the cross elasticity of demand between a Pepsi and Coca-Cola is  5

We simply applied the above formula so that the correct value could come

And, the same is to be considered

For which of the following businesses would a job costing system be appropriate?
Root beer producer.
Drug manufacturer.
Auto repair shop.
Crude oil refinery.

Answers

Answer:

Auto repair shop.

Explanation:

A job costing system involves accounting for the expenses as per a specific production or service job.  Accumulation of expenses is in relation to a certain job or production for a particular good.  An Auto repair shop will be best suited to use the job costing system.  Expenses can be attached to the repair of a specific car.  The costs of repairing each vehicle can be identified with ease.  

The other options would require process costing.

the nash corp is considering four investments. Which provides the highest after-tax return for Nash corp. if it is in the

Answers

Answer:

ejrjfjfn

Explanation:

sudjfjejrjfngnv vjvkvkvk

Which of the following is an example of an effective persuasive speech topic for a group of elementary school children?

a.
the origins of Santa Claus in different cultures around the world
b.
abstinence: the best protection
c.
read at least 20 minutes a day
d.
staying in school is cool

Answers

Answer: d.  staying in school is cool

Explanation:

An elementary school has children who have grown past childhood but have not yet reached teenagerhood. Persuasive topics for them would therefore have to be tailored to their level of understanding.

Based on the options, the best would be to teach them to stay in school. The origins of Santa Claus is for their juniors and abstinence is for their seniors as well as reading 20 minutes a day. Staying in school is great for their age as it instils the values of education at a time they can understand it.

The combination of debt financing and equity financing that maximizes a firm's value is known as its:

Answers

Answer:

optimal capital structure

Explanation:

optimal capital structure can be regarded as a combination of

of debt and equity financing which brings about maximization of amarket value in a firm. It should be noted that optimal capital structure is the combination of debt financing and equity financing that maximizes a firm's value.

A portfolio has 70 shares of Stock A that sell for $30 per share and 125 shares of Stock B that sell for $17 per share. (a) What is the portfolio weight of Stock A?(b) What is the portfolio weight of Stock B?

Answers

Answer:

Portfolio weight of Stock A=49.70%

Portfolio weight of Stock A=50.29%

Explanation:

Calculation for the portfolio weight of Stock A and Stock B

First step is to calculate the total amount invested in both portfolio weight of Stock A and Stock B

Stock A and Stock B Total amount invested=

(A 70 shares*$30 per share)+ (B 125 shares*$17 per share)

Stock A and Stock B Total amount invested=$2,100+$2,125

Stock A and Stock B Total amount invested=$4,225

Now let calculate the PORTFOLIO WEIGHT OF STOCK A

Using this formula

Portfolio weight of Stock A=Stock A/Stock A and Stock B Total amount invested

Let plug in the formula

Portfolio weight of Stock A=(70 shares*$30 per share)/$4,225

Portfolio weight of Stock A=$2,100/$4,225

Portfolio weight of Stock A=0.4970*100

Portfolio weight of Stock A=49.70%

Therefore the Portfolio weight of Stock A

will be 49.70%

Calculation for PORTFOLIO WEIGHT OF STOCK B

Using this formula

Portfolio weight of Stock B=Stock B/Stock A and Stock B Total amount invested

Let plug in the formula

Portfolio weight of Stock B=(125 shares*$17 per share)/$4,225

Portfolio weight of Stock B=$2,125/$4,225

Portfolio weight of Stock B=0.5029*100

Portfolio weight of Stock B=50.29%

Therefore the Portfolio weight of Stock will be 50.29%

Derst Inc. sells a particular textbook for $27. Variable expenses are $20 per book. At the current volume of 43,000 books sold per year the company is just breaking even. Given these data, the annual fixed expenses associated with the textbook total:___________
a) $860,000
b) $1,161,000
c) $1,462,000
d) $301,000

Answers

Answer:

d. 301,000

Explanation:

Given that the cost per textbook is $27, we know that the addition of variable and fixed Cost gives total cost.

We will multiply variable cost per textbook of $20 with current volume of book sold per year 43,000, which gives a total variable cost of $860,000.

Also, total cost would be 43,000 multiplied with $27 , which is $1,161,000 minus the total variable cost of $860,000 equals $301,000 which is the associated fixed cost.

Which stage of an industry's growth cycle offers the greatest opportunity for an investor who is seeking capital gains?

a. initial development
b. mature growth
c. stability or decline
d. rapid expansion

Answers

Answer:

d. rapid expansion

Explanation:

The main objective of an investor is to invest his capital in an industry that generates profits. Therefore, analyzing the above question, it is correct to say that an organization that is expanding its business quickly, is achieving success in the market in which it operates, so this alternative is ideal for an investor seeking capital gains.

Initial development would be an alternative that does not have a real return for the investor, mature growth is also not the most profitable option, and the stability or decline option does not present a profitable and reliable alternative for an investor.

A snack manufacturer discovers that they must increase the salt content of chips by 14 milligrams before about 50 percent of their consumers notice the change. A clever intern points out that this is an example of:

Answers

Answer:

difference threshold

Explanation:

Difference threshold is use by businesses or effectively reduce cost without affecting their profit margin .

It is the minimum amount of change that is required to make consumers of a product to notice the change 50% of the time.

In the given scenario the snack manufacturer discovers that they must increase the salt content of chips by 14 milligrams before about 50 percent of their consumers notice the change.

Admire County Bank agrees to lend Sheffield Brick Company $614000 on January 1. Sheffield Brick Company signs a $614000, 8%, 9-month note. The entry made by Sheffield Brick Company on January 1 to record the proceeds and issuance of the note is:______________.

Answers

Answer:

January 1

Cash                                    614000 Dr

   Notes Payable                      614000 Cr

Explanation:

The Sheffield Brick Company has borrowed from the Admire county bank which means the note payable is a liability in the books of the Sheffield Brick company. As liability is increased or recorded, it is credited. The amount of liability is $614000 on the day of the issuance of note. Thus, Sheffield will credit Note payable by $614000.

The Sheffield company has received cash by signing note. As cash is an asset and it is increasing, the Sheffield company will debit cash by 614000 against the notes payable.

Susmel Inc. is considering a project that has the following cash flow data. What is the project's payback

Answers

Answer: 2.5 years

Explanation:

The payback period of a project as the term implies, is the amount of time it takes for a project's cashflows to pay off its original outlay.

The formula is;

= Year before payback + Amount remaining/ Cashflow in year of Payback

Year 1 + 2 = 150 + 200 = $350

Amount remaining = 500 - 350 = $150

Payback period = 2 + 150/300

= 2.5 years

Ajax Corp's sales last year were $460,000, its operating costs were $362,500, and its interest charges were $12,500. What was the firm's times-interest-earned (TIE) ratio? Group of answer choices

Answers

Answer:

the times interest ratio is 7.80

Explanation:

The computation of the times-interest earned ratio is shown below:

As we know that

Times-interest-earned (TIE) ratio is

= Earnings Before Interest and Taxes ( EBIT) ÷ Interest expense

= ($460,000 - $362,500) ÷ $12,500

= 7.80

Hence, the times interest ratio is 7.80

We simply applied the above formula so that the correct value could come

And, the same is to be considered

YCD, Inc., has sales of $5,783, total assets of $2,604, and a debt-equity ratio of 0.75. If its return on equity is 11 percent, what is its net income?

Answers

Answer:Net income=$164

Explanation:

Equity multiplier = 1 + Debt-equity ratio

Equity multiplier = 1 + 0.75

Equity multiplier = 1.75

And the total asset turnover is:

Total asset turnover = Sales / Total assets

Total asset turnover = $5,783 / $2,604

Total asset turnover = 2.22 times

ROE = (Profit margin)(Total asset turnover)(Equity multiplier)

0.11 = (Profit margin)(2.22)(1.75)

Profit margin =  0.14/3.885 =0.0283

Rearranging we can find the net income as

Profit margin = Net income / Sales

Net income = profit margin x Sales

Net income =0.0283 x $5,783,=  $163.6589 = $164

XYZ, Inc. just paid an annual per share dividend of $3.50. Dividends are expected to grow at a rate of 3% per year from here on out. If the risk-free rate is 2.5%, the expected return on the market is 7% and the beta of the stock is 2, what is the most that you should be willing to pay for a share of this stock today?

Answers

Answer:

P0 = $42.4117 rounded off to $41.41

Explanation:

Using the constant growth model of dividend discount model, we can calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D0 * (1+g) / (r - g)

Where,

D0 is the dividend paid  recentl

D0 * (1+g) is dividend expected for the next period /year

g is the growth rate

r is the required rate of return or cost of equity

First we need to calculate the required rate of return on this stock using CAPM.

Using the CAPM, we can calculate the required rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.

The formula for required rate of return under CAPM is,

r = rRF + Beta * (rM - rRF)

Where,

rRF is the risk free rate

rpM is the market return

r = 0.025 + 2 * (0.07 - 0.025)

r = 0.115 or 11.5%

Using the constant growth of dividend formula,

P0 = 3.5 * (1+0.03)  /  (0.115 - 0.03)

P0 = $42.4117 rounded off to $41.41

The FOURX Corp. has purchased $50,000 of experimental equipment. The anticipated salvage value is $5500 at the end of its 5-year depreciable life. This profitable corporation is considering two methods of depreciation: straight-line and double declining balance. If it uses 10% interest in its comparison, which method do you recommend?

a. NPW(SL): $37,908; NPW(DDB): $37,068; Recommendation: SL
b. NPW(SL): $33,738; NPW(DDB): $37,068; Recommendation: DDB
c. NPW(SL): $33,738; NPW(DDB): $26,551; Recommendation: SL
d. NPW(SL): $33,738; NPW(DDB): $38,069; Recommendation: DDB

Answers

Answer:

b. NPW(SL): $33,738; NPW(DDB): $37,068; Recommendation: DDB

Explanation:

The computation is shown below:

As we know that

Present value is

=  [Cash Flow ÷ (1 + Rate of Interest)^Year]

where,

Rate of Interest = 10%

Under Straight-line depreciation:

Beginning book value = $50,000

Salvage value = $5,500

So, the depreciationper year is

=  [($50,000 - $5,500) ÷ 5]

= $8,900

Year    Beginning   Depreciation  End                 Present value

           book value                  book value of depreciation

1            $50,000      $8,900        $41,100             $8,090.91

2           $41,100         $8,900        $32,200           $7,355.37

3           $32,200       $8,900         $23,300           $6,686.70

4           $23,300       $8,900         $14,400           $6,078.82

5           $14,400        $8,900         $5,500              $5,526.20

                                                                                  $33,738.00

Under Double declining depreciation:

Depreciation rate per year = (1 ÷ Useful  Life) × 100

= 1 ÷ 5 × 100

= 20%

Now for double-declining, the rate is doubled

So,

= 20% × 2

= 40%

Year    Beginning   Depreciation  End                 Present value

           book value                  book value of depreciation

1            $50,000      $20,000       $30,000           $18,181.82

2           $30,000       $12,000       $18,000            $9,917.36

3           $18,000       $7,200         $10,800            $5,409.47

4           $10,800       $4,320         $6,480             $2,950.62

5           $6,480       $980              $5,500            $608.50

                                                                                $37,068

please help its due in 2 hours time will give all my points

"Explain how the development of money over time has helped to improve the way in which monetary transactions are conducted" 6 MARK QUESTION

Answers

Explanation:

First money ever made was just coins and it differed in worth compared to today. In the present, money is not only a physical object but it also an imaginary value on our bank accounts and cards. Having in mind that monetary transactions are all-in-all deposits, withdrawals and exchanges, its way easier to conduct those with not having to give and recieve money in physical form, but being, able to do it all while just transfering the numbers from one to another account. Bankers have less responsibility due to not having to stock all the money in safes and secure boxes, but just checking if all the numbers are adding up. So, shall we say, the development of money over time has improved the way in which monetary transactions are conducted because this way, it's safer, faster and much more trustworthy.

The present value of a 10-year annuity-immediate with level annual payments and interest rate i is X. The present value of a 20-year annuity immediate with the same payments and interest rate is 1.5X. Find i.a. 7.2%. b. 7.0% c. 6.8% d. 6.6% e. 6.4%

Answers

Answer:

what is this?

Explanation:

Hayden Company currently sells widgets for $160 per unit. The variable cost is $60 per unit and total fixed costs equal $240,000 per year. Sales are currently 40,000 units annually, and the income tax rate is 40 percent. Required: a. Calculate the contribution margin per unit. b. Calculate break-even in units. c. Calculate break-even in sales dollars d. Calculate the current after-tax net income. e. The company is considering a 10% drop in the selling price that it believes will raise units sold by 15%. Assuming all costs stay the same, what is the impact on income if this change is made? f. How many units need to be sold to earn a pre-tax operating income of $100,000?

Answers

Answer:

a. $100

b. 2,400 units

c. $380,952

d. $2,256,000

e. 15.90 %

f. 3,400 units

Explanation:

Contribution margin per unit

Contribution margin per unit = Sales per unit  less Variable Cost per unit

Therefore,

Contribution margin per unit = $160 - $60

                                                = $100

Break-even in units

The Breakeven units is the level of activity where a firm makes neither a profit nor a loss.

Break-even in units = Fixed Cost ÷ Contribution margin per unit

Therefore,

Break-even in units = $240,000 ÷ $100

                                 = 2,400 units

Break-even in sales dollars

Break-even in sales dollars = Fixed Cost ÷ Contribution margin ratio

Where,

Contribution margin ratio = Contribution margin ÷ Sales

                                           = $100 ÷ $160

                                           = 0.63

Therefore,

Break-even in sales dollars = $240,000 ÷ 0.63

                                              = $380,952

After-tax net income

Contribution ( $100 × 40,000 )    $4,000,000

Less Fixed Cost                             ($240,000)

Next Income Before Tax              $3,760,000

Less Income tax at 40 %             ($1,504,000)

Net Income After Tax                   $2,256,000

Effect of the Change on Income

First, calculate the Degree of Operating Leverage (DOL).

The DOL shows the times Net Income Before Interest and Tax will change as a result of a change in sales contribution.

Degree of Operating Leverage (DOL) = Contribution ÷ Net Income

Therefore,

Degree of Operating Leverage (DOL) = $4,000,000 ÷ $3,760,000

                                                               = 1.06

Effect on Income using the DOL = 1.06 × 15% = 15.90 %

Therefore Net Income would also increase by 15.90 %.

Units to be sold to earn an income of $100,000

Units to Earn a Target Profit = (Fixed Costs + Target Profit) ÷ Contribution margin per unit

Therefore,

Units to be sold to earn an income of $100,000 = ($100,000 + $240,000) ÷ $100

                                                                                = 3,400 units

g A monopoly may exist because Question 21 options: a) government has refused to grant a public franchise. b) one firm has the exclusive ownership of a necessary resource. c) the firm is so large and is currently experiencing such vast diseconomies of scale that it can out-compete all newcomers. d) a and b e) a, b, and c

Answers

Answer:

B. one firm has the exclusive ownership of a scarce resource.

Explanation:

Monopoly can be regarded as market structure whereby a single seller thrives, this is a structure whereby the seller sells a unique product in the market. As far as monopoly market is concerned, no competition is been encontered by the manufacturer , because he is the only one selling goods with no close substitute. As a result of this there is restrictions of the entry of other sellers in the market.

It should be noted that monopoly may exist because one firm has the exclusive ownership of a scarce resource.

Answer:

b) one firm has the exclusive ownership of a necessary resource

Explanation:

A monopoly is a situation where a single supplier of a commodity.

This gives the supplier the benefit of fixing a price that maximises profit for them. Consumers have no alternative so they pay the high price for the commodity.

There is no substitute good so there is no competition from other firms. Price is usually set at a high level so that the monopoly enjoys profit high above its marginal cost.

Monopolies exist because one firm has the exclusive ownership of a necessary resource not available to other firms.

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