The inverse market demand in a homogeneous product Cournot duopoly is P=100-2(Q1+Q2), and the costs are given by C(Q1) = 12Q1 and C(Q2) = 20Q2. The implied marginal costs are $12 for firm 1 and $20 for firm 2.

a. Determine the reaction function for firm 1.
b. Determine the reaction function for firm 2.
c. Calculate the Cournot equilibrium price and quantity.
d. Suppose firm 1 is a monopoly (firm 2 does not exist), what is firm 1's monopoly output and price?
e. How does the monopoly price and quantity comparing with Cournot equilibrium in part (c)?

Answers

Answer 1

Answer:

Following are the solution to the given points:

Explanation:

[tex]Q_1= 22-\frac{Q_2}{2}\\\\Q_2= 20-\frac{Q_1}{2}[/tex]

Replacing the [tex]Q_1[/tex] value in the equation mentioned above:

[tex]Q_2= 20- (\frac{(22-\frac{Q_2}{2})}{2})\\\\Q_2= 20-11+\frac{Q_2}{4}\\\\3\frac{Q_2}{4}=9\\\\Q_2= \frac{(9\times4)}{3}\\\\Q_2= 12[/tex]

Substituting the value of [tex]Q_2[/tex]:

[tex]Q_1= 22- \frac{Q_2}{2}\\\\Q_1= 22-6\\\\Q_1=16\\\\[/tex]

Now

[tex]P= 100-2(Q_1+Q_2)\\\\P= 100-2(16+12)\\\\P=100- 56\\\\P= 44\\\\[/tex]

In this firm a monopoly: (Q2 is 0 now)

Profit maximization is at MR=MC

as per the equation[tex]P= 100-2Q_1[/tex]

[tex]P.Q1= 100Q_1-2Q_1^{2}\\\\MR= 100-4Q_1\\\\MC= 12\\[/tex]

[tex]100-4Q_1=12\\\\4Q_1=88\\\\Q_1= 22\\\\and \ P= 100-2(22)= 56.[/tex]


Related Questions

Renoir Associates has declared a​ $49,000 cash dividend to shareholders. The company has​ 4,000 shares of ​$16​par, ​6% preferred stock and​ 11,000 shares of ​$16par common stock. The preferred stock is noncumulative. How much will be distributed to the preferred and common stockholders on the date of​ payment?

Answers

Answer:

Preferred stock dividend is paid our before common dividends are paid out. Preferred dividends are;

= 4,000 * 16 * 6%

= $‭3,840‬

Common Stock Dividends

= 49,000 - ‭3,840‬

= $‭45,160‬

Diazlo Corporation has 10,000 shares of 7​%, $10 par cumulative preferred stock and 47,000 shares of common stock outstanding. Diazlo declared no dividends in 2017 and had no dividends in arrears prior to 2017. In 2018​, Diazlo declares a total dividend of $45,000. How much of the dividends go to the common​ stockholders?A. $44,000 B. $41,000 C. $47,000 D. None of above

Answers

Answer: None of above

Explanation:

Firstly, we calculate the annual dividend on the preferred stock which will be:

= 10,000 × 7% × $10

= 10,000 × 0.07 × 10

= $7000

Dividend paid to shareholders will be:

= $7000 × 2 = $14000

The dividend that goes to the common​ stockholders will now be:

= $47000 - $14000

= $33000

Therefore, the answer is none of the above

Buyers in the business market give little importance to overall value for purchase decisions. True or false?

Answers

Answer:

False

Explanation:

Buyers are generally divided into two markets:

consumer market (B2C)business market (B2B)

B2B sales are very different than everyday B2C sales since institutional buyers (businesses) tend to analyze their purchases a lot and only carry them out if they are necessary. The people that make these B2B purchases are professional buyers, i.e. they are people whose work is to make the best possible deals when buying. The goal of these professional buyers is to maximize value received per dollar paid.

Harrison Co. issued 14-year bonds one year ago at a coupon rate of 6.9 percent. The bonds make semiannual payments. If the YTM on these bonds is 5.5 percent, what is the current dollar price assuming a $1,000 par value?

Answers

Answer:

Bond Price​= $1,128.82

Explanation:

Giving the following information:

Time= 13*2= 26

Cupon= (0.069/2)*1,000= 34.5

YTM= 0.055/2= 0.0275

Par value= $1,000

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 34.5*{[1 - (1.0275^-26)] / 0.0275} + [1,000/(1.0275^26)]

Bond Price​= 634.88 + 493.94

Bond Price​= $1,128.82

If a competitive firm can sell a bushel of soybeans for $25 and it has an average variable cost of $24 per bushel and the marginal cost is $26 per bushel, the firm should:_______

Answers

Answer: reduce output.

Explanation:

In a competitive market, firms do not have control over the price that they sell their goods in the market but they do have control over their costs. It is recommended to produce/ sell goods at a quantity where Marginal Revenue will equal Marginal cost (MR = MC).

In a Competitive Market, Price is the same as Marginal revenue which means that Marginal revenue here is $25 and the Marginal Cost is $26. At this quantity of output, the Marginal Cost is larger than the Marginal revenue.

Company should therefore reduce output to a quantity where Marginal Cost will equal Marginal revenue.

The scaffer auto company has purchased a large parcel of land for $1 million. The company recently discovered that the land is contaminated and is worthless top all possible buyers. the opportinity cost of the land is:_________

Answers

Answer:

the opportunity cost of the land is zero

Explanation:

The opportunity cost is the cost that provides the best option in the many alternatives available

Here in the question it is given that a parcel fo land is purchased for $1 million  and it is seen that the land is worthless so here the opportunity cost of the land is zero as it is of no use

Therefore the opportunity cost of the land is zero

Walton Inc., makes an unassembled product that it currently sells for $55. Production costs are $20. Walton isconsidering assembling the product and selling it for $68. The cost to assemble the product is estimated at $12.What decision should Walton make?

a. process further because NI will be $13 greater
b. sell before assembly because NI per unit will be $12 greater
c. process further because NI will be $1 greater
d. sell before assembly because NI per unit will be $1 greater

Answers

Answer:

c. process further because NI will be $1 greater

Explanation:

Calculation to know What decision that Walton should make

First step is to calculate the current selling price profit

Using this formula

Current selling price profit= selling price -cost price

Let plug in the formula

Current selling price profit= =$55-$20

Current selling price profit = $35

Second Step is to calculate the new selling price profit

New selling price profit= $68-($20+_12)

New selling price profit=$68-$32

New selling price profit= $36

Last step is to calculate the NI using this formula

NI=New selling price profit-Current selling price profit

Let plug in the formula

NI=$36-$35

NI=$1

Based on the above calculation their is an increase in net income of the amount of $1 which means that the decision that Walton should make will be to process further because NI will be $1 greater

Suppose that you buy a 1-year maturity bond with a coupon of 7% paid annually. If you buy the bond at its face value, what real rate of return will you earn if the inflation rate is 4%

Answers

Answer:

the real rate of return is 2.88%

Explanation:

The computation of the real rate of return is shown below:

As we know that

Real rate of return is

= {(1 + nominal rate of return) ÷ (1 - inflation rate)} - 1

= {(1 + 0.07) ÷ (1 + 0.04)} - 1

= 2.88%

Hence, the real rate of return is 2.88%

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

And, the same is to be considered  

A personal characteristic that fosters organizational politics is a) the desire to help. b) need for power. c) drive to be a vision-holder. d) requirement for participation. e) tendency to need to socialize

Answers

Answer: b) need for power.

Explanation:

Organizational politics are activities that people engage in to be able to further their personal interests even if these interests are not always in the best interest of the company itself.

To be able to further their interests, they need power and influence which means that the personal characteristic that fosters organizational politics is the need to have power.

A company purchases inventory on account for $45,000 with terms 2/10, n/30. Under the net method of accounting for purchases, the purchase would be recorded at:_______

a. $36,000.
b. $40,500.
c. $45,000.
d. $44,100.

Answers

Answer:d. $44,100.

Explanation:

The net method is a way a company or firm records its customer's invoice. Under the net method of Accounting for purchases,  The record of purchases are recorded considering  the cash discount.

Therefore

Purchase price = $45000

Cash Discount  at terms  2/10 n/30

$45000  x  2% =  $45,000 x 0.02 =$900

Net purchase price = $45000 - $900 = $44,100.

The journal to record the inventory purchased on account using the  net method  will be

Accounts  Titles                             Debit             Credit

Inventory                                 $44,100.  

Accounts payable                                              $44,100.

If a monopolist is able to increase the amount of product she sells from 400 to 420 units by lowering the price of that product from $50 to $45, her marginal revenue is: multiple choice $-55.

Answers

Answer:

-$55

Explanation:

The computation of the marginal revenue is shown below:

As we know that

Total revenue = Price × Quantity

For 400 units, the total revenue is

= 400 × $50

= $20,000

And for 420, the total revenue is

= 420 × $45

= $18,900

Now the marginal revenue is

= ($18,900 - $20,000) ÷ (420 units - 400 units)

= -$55

A major element in budgetary control is A. the preparation of long-term plans. B. the comparison of actual results with planned objectives. C. the valuation of inventories. D. approval of the budget by the stockholders.

Answers

Answer:

b. the comparison of actual results with planned

Explanation:

Budgetary control can be regarded as a way whereby budgets are been set up because if the future period then make comparison with the actual performance so that variances could be found if any. To find variance as well as corrective measures, , there should be a comparison of budgeted figures with respect to actual figures by management. It should be noted that major element in budgetary control is the comparison of actual results with planned

Your storage firm has been offered 100,000 in one year to store some goods for one year. Assume your costs are $95,000, payable immediately, are the cost of capital is 8%. Should you take the contract?

Answers

Answer:

We should not take the contract

Explanation:

Net present value = Initial investment + Present value of cash inflows

Net present value = -95000 + 100000/1.08

Net present value = -2407.41

Thus, the contract should not be taken because the NPV is negative

Peter Metcalf founded Black Diamond which creates, produces, and sells outdoor equipment. This is an example of

Answers

Answer:

manufacturing organization

Explanation:

This is an example of a manufacturing organization. This is an organization that focuses on gathering all of the necessary ingredients, which are then placed in a specific process to which combines them to make a unique product. This product is then sold to other companies or individual customers to generate profit for the company. This is exactly what Black Diamond does in order to produce outdoor equipment.

Assume that the salespeople of Excellent Corp. are paid 3% of sales as commission. The level of sales is $290,000 for this month, and the only fixed selling costs are $20,000. Excellent's budgeted selling costs for this month are:_____.a. $11,300. b. $38,700. c. $20,000. d. $28,700.

Answers

Answer:

d. $28,700.

Explanation:

The computation of the budgeted selling cost for the given month is shown below:

= Fixed selling cost + variable selling cost

= $20,000 + $290,000 × 3%

= $20,000 $+ $8,700

= $28,700

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

And, the same is to be considered

Hence, the correct option is d. $28,700

________ products have a product life cycle that reflects benefits that are readily understood by consumers,and because the products are easily imitated by competitors,the appropriate marketing strategy is to broaden distribution quickly.

Answers

Answer:

Low-learning products

Explanation:

Low learning products are those that are easily accepted and understood by the general public, i.e. they do not require consumer education. These types of products are generally convenience goods, e.g. potato chips, detergent, etc.

On the other hand, high learning products required that consumers receive a prior education process before the general public begins to purchase them, e.g. Blu-rays in the 2000s.

Comparing health insurance policies. Use Worksheet 9.1. Lexi Thomas, a recent college graduate, has decided to accept a job offer from a nonprofit organization. She’ll earn $44,000 a year but will receive no employee health benefits. Lexi estimates that her monthly living expenses will be about $2,000 a month, including rent, food, transportation, and clothing. She has no health problems and expects to remain in good health in the near future.

Using the Internet or other resources, gather information about three health insurance policies that Lexi could purchase on her own. Include at least one HMO. Use Worksheet 9.1 to compare the policies’ features. Should Lexi buy health insurance? Why or why not? Assuming that she does decide to purchase health insurance, which of the three policies would you recommend and why?

Answers

Answer:

um can you egsplain that a bit beter please and then i might be able to help

Explanation:

A person is considered an entrepreneur because she?

Answers

The answer must be 3

A person is considered an entrepreneur because she combined resources to create new products. Thus, option (c) is correct.

A person who starts a new firm, taking on the majority of the risks and reaping the majority of the gains, is an entrepreneur. Entrepreneurship is the practice of starting a business.

Every economy requires entrepreneurs because they have the knowledge and drive to foresee demands and promote novel ideas. Entrepreneurship that succeeds in assuming the risks involved in founding a firm is rewarded with earnings and expansion possibilities.

Therefore, option (c) is correct.

Learn more about on entrepreneur, here:

https://brainly.com/question/31010585

#SPJ6

Kingbird, Inc. uses the percentage of receivables method for recording bad debts expense. The accounts receivable balance is $290000 and credit sales are $2910000. Management estimates that 4% of accounts receivable will be uncollectible. What adjusting entry will Kingbird, Inc. make if the Allowance for Doubtful Accounts has a credit balance of $2900 before adjustment?

Answers

Answer:

Dr Bad Debts Expense 8,700

Cr Allowance for Doubtful Accounts 8,700

Explanation:

Preparation of the adjusting Journal entry that Kingbird, Inc. will make if the Allowance for Doubtful Accounts has a credit balance of $2900 before adjustment

Based on the information given the Allowance for Doubtful Accounts will have an ending credit balance of 4% of the amount of $290,000 or the amount of $11,600 (4%*$290,000) which means that for us to increase the credit balance of the amount of $2,900 to the amount of $11,600, the account will requires a credit of the amount of $8,700($11,600-$2,900).

Therefore the adjusting Journal entry that Kingbird, Inc. will make if the Allowance for Doubtful Accounts has a credit balance of

the amount of $2,900 before adjustment will be:

Dr Bad Debts Expense 8,700

Cr Allowance for Doubtful Accounts 8,700

[4%*$290,000 -($2,900)]

Briefly explain why the covariance of a security with the rest of a well-diversified portfolio is a more appropriate measure of the risk of the security than the security’s variance.

Answers

Answer:

Covariance is a statistical measure that is use for determining the relationship between two variables and its measure the strength of correlation between the twos. A well diversified portfolio is type of portfolio on which all stocks are negatively correlated to each other. The risk of their portfolio is minimal with given level of return. So, in well diversified portfolio, covariance between stock is minimal, that is stock is not much correlated with each other.

During 2017, Sunland Company reported cash provided by operations of $762000, cash used in investing of $659000, and cash used in financing of $182000. In addition, cash spent for fixed assets during the period was $265000. Average current liabilities were $624000 and average total liabilities were $1647000. No dividends were paid. Based on this information, what was Sunland free cash flow?

Answers

Answer:

the free cash flow is $497,000

Explanation:

The computation of the free cash flow is shown below:

Free cash flow is

= cash flow from operating activities - capital expenditure

= $762,000 - $265,000

= $497,000

Hence, the free cash flow is $497,000

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

And, the same is to be considered  

A department store has budgeted sales of 12,000 men's coats in September. Management wants to have 6,000 coats in inventory at the end of the month to prepare for the winter season. Beginning inventory for September is expected to be 4,000 coats. What is the dollar amount of the purchase of suits if each coat has a cost of $75? Each suit has a cost of $75.

Answers

Answer: $1,050,000

Explanation:

The dollar amount of the purchase of suits if each coat has a cost of $75 can. Be calculated as thus:

Budgeted sales = 12000

Add: sales inventory = 6000

Less: September beginning inventory = 4000

Required purchase for September will now be:

= 12000 + 6000 - 4000

= 14000

The dollar amount will be:

= 14000 × $75

= $1,050,000

A company factored $37,000 of its accounts receivable and was charged a 3% factoring fee. The journal entry to record this transaction would include a:_____.A. Debit to Cash of $37,620, a debit to Factoring Fee Expense of $380, and a credit to Accounts Receivable of $38,000.
B. Debit to Cash of $38,380 and a credit to Accounts Receivable of $38,380.
C. Debit to Cash of $38,000 and a credit to Accounts Receivable of $38,000.
D. Debit to Cash of $38,000 and a credit to Notes Payable of $38,000.
E. Debit to Cash of $38,000, a credit to Factoring Fee Expense of $380, and a credit to Accounts Receivable of $37,620.

Answers

the answer is c lolllll

Olivia requested for leave from her supervisor for one week since her daughter fell sick and required home care. The employer refused to grant her leave and as a result Olivia was forced to be absent from work without pay. She later filed a suit against her employer alleging violation of Title VII. Under the assumption that Olivia is a productive employee, the court most likely held that:____________

Answers

Answer:

b. Olivia is entitled for leave under F M L A.

Explanation:

From the question, we are informed about Olivia who requested for leave from her supervisor for one week since her daughter fell sick and required home care. The employer refused to grant her leave and as a result Olivia was forced to be absent from work without pay. She later filed a suit against her employer alleging violation of Title VII. In this case, Under the assumption that Olivia is a productive employee, the court most likely held that Olivia is entitled for leave under F M L A. Title VII can be regarded as a law that applies to private as well as public employers with 15 employees and more, the enforcement is carried out by

the Equal Employment Opportunity Commission in the state.It gives prohibition on sexual sex harassment or hostile work environment by the employers to the employees, the law can also be enforced in a case whereby an employee is facing a situation where by the employer refused to promote the employees

.

In 2007, the price of oil increased, which in turn caused the price of natural gas to rise. This can best be explained by saying that oil and natural gas are:_______.A. Complements and the higher price for oil increased the demand for natural gas. B. Complements and the higher price for oil decreased the supply of natural gas. C. Substitutes and the higher price for oil increased the demand for natural gas. D. Substitutes and the higher price for oil decreased the supply of natural gas. E. Unrelated and the prices of both products increased because of increased reliance on fossil fuels.

Answers

Answer:

C. Substitutes and the higher price for oil increased the demand for natural gas.

Explanation:

In 2007, the price of oil increased, which in turn caused the price of natural gas to rise. This can best be explained by saying that oil and natural gas are substitutes and the higher price for oil increased the demand for natural gas.

Substitute goods are goods that can be used in place of another good because they serve the same purposes.

The demand for goods is said to be elastic, when the quantity of goods demanded by consumers with respect to change in price is very large. Thus, the more easily a consumer can switch to a substitute product in relation to change in price, the greater the elasticity of demand.

Generally, consumers would like to be buy a product as its price falls or become inexpensive.

For substitute products (goods), the price elasticity of demand is always positive because the demand of a product increases when the price of its close substitute (alternative) increases.

Elena's aunt gave her $100 for her birthday with the condition that Elena buys herself something. In deciding how to spend the money, Elena narrows her options down to four choices:

Option A, Option B, Option C, and Option D. Each option costs $100. Finally, she decides on Option B. The opportunity cost of this decision is:________

a. the value to Barb of Options A, C and D combined.
b. the value to Barb of the option she would have chosen had Option B not been available.
c. the average of the values to Barb of Options A, C, and D.
d. $100.

Answers

Answer: b. the value to Barb of the option she would have chosen had Option B not been available.

Explanation:

The opportunity cost of an alternative is the benefit/ value of the next best alternative that would have been picked if the current alternative had not been available.

In this case Elena chose B. The opportunity cost of this decision therefore is the value of the option she would have picked had B not been available because this would be the next best alternative.

The rule in Garner v. Murray deals with​

Answers

Answer:

In the event of the insolvency of a partner any losses should be shared in the ratio of the last agreed capital balances before the dissolution took place. This is known as the Garner v Murray rule.

Explanation:

a community hospital in pennsylvania has a 15% supply expense ratio. If total operating expenses are $1 million this month, what is the total annual cost of supplies

Answers

Answer:

$150,000

Explanation:

The question says that the total operating expenses of the hospital is 1 million, while also saying that it has a supply expense ratio of 15%. An expense ratio can be by dividing a fund's total operating expenses it's average dollar value of its assets under it's management. This is what gave us the 15% we got in the question. Now, to get the total supply cost in dollars (not percentage), all we is multiply the percentage by the total cost we were given. Thus,

Total annual cost of supply =

15% * 1,000,000 =

15/100 * 1,000,000 =

$150,000.

Therefore, the total annual cost of supply is $150,000

Urgent Corporation had earnings per share of $4 last year, and it paid a $2 dividend.

Total retained earnings increased by $12 million during the year, and book value per

share at year-end were $40. Urgent Corporation has no preferred stock, and no new

common stock was issued during the year. If Argent’s year-end debt (which equals its

total liabilities) was $120 million, what was the company’s year-end debt/assets ratio?​

Answers

Iendoddfkdjdjdnodndofngkgjgkdme mwkekemdjdodjdoejrodjdidjdix.

Some years back, a number of manufacturers of low-end, inexpensive cell phones started introducing their products into the Eastern African market. David, the owner of a medium-sized firm manufacturing mid-priced cell phones, believes the Eastern African market is now ready for slightly more expensive phones with greater functionality. If he's right, David has identified a(n):

Answers

Answer:

entrepreneurial opportunity

Explanation:

Entrepreneurial opportunities refer to business opportunities where new or different goods or services can be introduced into a market. In this case, the cell phone market in eastern African countries is basically saturated with low-end phones, but David sees the opportunity of selling more expensive and better cell phones. Since he wants to offer different goods into an established market, he is identifying an entrepreneurial opportunity.

Other Questions
In a capture-recapture study, a biologist tagged and released 330 deer. A month later she captured 40 deer, 10 of which had tags. About how many deer were in the population? Name two 2020 heroes thanks have a good day this is due tonight.. 7(1 - x) = -3(x - 2) You decide to erect A statue of yourself in your homeroom class is 10.25 feet tall fire code forces you to leave 1.5 feet of space between your statue and the ceiling write equality showing the possible height of your statue ________ products have a product life cycle that reflects benefits that are readily understood by consumers,and because the products are easily imitated by competitors,the appropriate marketing strategy is to broaden distribution quickly. 5. Early hunter-gatherer human societies are generally typified by:large numbers of people.small nomadic clans of humans.moderate numbers of people living in permanent villages.miniscule cities and large agricultural developments. 9. What is a real life situation that would cause the need for a power plant to increase the water? A fair die is tossed 6 times. Find the probability that (a) 1 one, 2 twos and 3 threes will turn up, (b) each side will turn up once. Cultural mores can act as a source of tension between different cultural groups.Please select the best answer from the choices providedTF Questioning the information from a source is important to critical thinking becauseA) it may be incorrectB) it may be based on opinionsC) information can be biasedD) you might not understand the informationE) all of the above What is an alternative point of view in an argumentative essay How long do Supreme Court justices serve for? Check all that are true statements regarding dermatomes. A. Pain in a dermatome can only arise from the region of the skin that is innervated by that spinal nerve.B. Dermatomes are involved in referred visceral pain.C. If a person experiences damage or infection in an internal organ, the pain may be experienced elsewhere due to dermatomes.D. Dermatomes are important in discovering muscle or organ damage, but are not useful in identifying spinal nerve damage. How did institutional slavery affect the three main groups of Southerners in the ante-bellum period? Seneca has just applied conditional formatting and realizes that she has made a mistake. Which action should she take to fix the mistake?A) Clear the rule she created by going to the Conditional Formatting Rules Manager dialog box and deleting the rule.B) Clear all rules that have been applied to the worksheet or selected range by clicking the Clear Rules button.C) Use the Undo button or Ctrl+Z.D) Right-click the area where the conditional formatting rule has been applied, and select Clear Rule from the menu list. Whats the meaning of life to you? What does the acronym ADAP stand for? Which relation is linear?(click all that apply) Look at this NASA picture of a giant black hole and read the paragraph.Credit: X-ray: NASA/CXC/SAO/A.Siemiginowska et al; Optical: NASA/STScI; Radio: NSF/NRAO/VLA)Black holes cannot be seen without X-rays. If a telescope focuses on X-rays, we see a bright spot surrounding the black hole and a larger doughnut-shaped mass around that. The bright spot is gas, glowing at one million degrees. Any visible light it makes is absorbed by the doughnut-shaped mass of dust and gas around it. So we can only see it using X-rays. This is called a hidden or buried black hole.What does the photograph show to support the paragraph?a black hole seen in visible light without X-raysa buried black hole that looks like a doughnutmillion-degree gas inside a black holevisible light and dust outside a black hole(Giving brainlest)