lustry demand is given by: p= 200 – q. – q2 where q and q2 are the outputs of Firm 1 and Firm 2 respectively. Both Firm 1 and Firm 2 face constant marginal and average total costs of $20. Find the output quantity for each grm. 10 O 20 40 60 Question 16 For the information in the above question, Find the output price. O 70 50 90 100

lustry demand is given by: p= 200 – q. – q2 where q and q2 are the outputs of Firm 1 and Firm 2 respectively. Both Firm 1 and Firm 2 face constant marginal and average total costs of $20. Find the output quantity for each grm. 10 O 20 40 60 Question 16 For the information in the above question, Find the output price. O 70 50 90 100

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter15: Imperfect Competition

Section: Chapter Questions

Problem 15.10P: Inverse elasticity rule Use the first-order condition (Equation 15.2 ) for a Cournot firm to show...

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Inverse elasticity rule Use the first-order condition (Equation 15.2 ) for a Cournot firm to show that the usual inverse elasticity rule from Chapter 11 holds under Cournot competition (where the elasticity is associated with an individual firm's residual demand, the demand left after all rivals sell their output on the market). Manipulate Equation 15.2 in a different way to obtain an equivalent version of the inverse elasticity rule: pMCp=sieQ,p , where si=qi/Q is firm i's market share and eQp is the elasticity of market demand. Compare this version of the inverse elasticity rule with that for a monopolist from the previous chapter.
Return to Figure 9.2. Suppose P0 is $10 and P1 is$11. Suppose a new firm with the same LRAC curve asthe incumbent tries to break into the market by selling4,000 units of output. Estimate from the graph what thenew firm’s average cost of producing output would be.If the incumbent continues to produce 6,000 units, howmuch output would the two firms supply to the market?Estimate what would happen to the market price as aresult of the supply of both the incumbent firm andthe new entrant. Approximately how much profit wouldeach firm earn?
A large share of the world supply of diamondscomes from Russia and South Africa. Suppose thatthe marginal cost of mining diamonds is constant at$1,000 per diamond and the demand for diamonds isdescribed by the following schedule:Price Quantity$8,000 5,000 diamonds7,000 6,0006,000 7,0005,000 8,0004,000 9,0003,000 10,0002,000 11,0001,000 12,000a. If there were many suppliers of diamonds, whatwould be the price and quantity?b. If there were only one supplier of diamonds, whatwould be the price and quantity?c. If Russia and South Africa formed a cartel, whatwould be the price and quantity? If the countriessplit the market evenly, what would be SouthAfrica’s production and profit? What wouldhappen to South Africa’s profit if it increased itsproduction by 1,000 while Russia stuck to thecartel agreement?d. Use your answers to part (c) to explain why cartelagreements are often not successful.
Assuming you are the managing director of a firm that produces three goods: A, Band C. The price elasticity of demand for A is 1.2, for B it is 1.00 and for C it is 0.75.It is known that he firm is experiencing serious cash flow problems and you have toincrease total revenue as soon as possible. If you were in a position to set the pricesfor these goods, what would be your pricing strategy for each product
Suppose that the industry demand curve is given by the following quantity demanded = 100 – 0.5 output. In equilibrium, the market price is equal to 6 pesos per unit. q TR MR TFC TVC TC AC AVC AFC MC Profits 0 10 1 5 2 3 3 2 4 1 5 2 6 3 7 4 8 5 9 6 10 7 11 8 Draw the average cost, average variable cost, marginal cost and marginal revenue curves. Clearly indicate the profit maximizing level of output as well as the areas corresponding to total cost, total…
= 1003P. As- (g) Let demand for car batteries be such that Q sume constant marginal costs of 15. Compute the equilibrium price, quantity, consumer surplus, producer surplus and if rele- vant deadweight loss for: i. A perfectly competitive firm ii. A monopoly iii. Two firms engaged in Cournot Competition. iv. Two firms engaged in Bertrand Competition.
The information in the table shows the total demand for water service in Takoma. Assume that there are two companies operating in Takoma. Each company that provides these services incurs an annual fixed cost of $400 and that the marginal cost of providing the service to each customer is exactly $2.00. Figures listed are for an annual service contract. Quantity 0 100 200 300 400 500 600 700 800 900 1000 1100 1200 Price 60 55 50 45 40 35 30 25 b. Refer to Table 17-36. Suppose these 2 firms are price competing with each other (as what happens in a perfectly competitive market). What would total output be? a. 0 21250 1200
Monsanto holds significant regional monopoly power-in some regions they are a true monopoly being the only seller of agriculture seeds. If the elasticities of demand, JEDI, for soybean seeds is 3.5, and 3 for corn, then the profit-maximizing price (relative to marginal cost) for soybeans is times marginal cost, and the price is times marginal cost for corn. Round to one decimal if needed. A Moving to another question will save this response. « >
Assume that a purely competitive firm has the schedule of costs given in the table below. output TFC TVC TC 0 $500 $0 $500 1 500 150 650 2 500 200 700 3 500 260 760 4 500 340 840 5 500 450 950 6 500 590 1090 7 500 770 1270 8 500 1000 1500 9 500 1290 1790 10 500 1650 2150 Indicate what output the firm would produce and its profits in the following table and transform the information of price and quantity supplied into a supply curve in a diagram. Price Quantity supplied Profit (+) or loss (−) $ 50 150 250 _____ _____
A market with N=20 identical firms compete on quantity (Cournot competition). The market price elasticity of demand is = −1.5, and the price elasticity of supply for N-1 of the firms is n-i = 1.5. What is the price elasticity of the residual demand curve facing firm i? O -30 O -50 O -58.5 O -60
You own Athleticon, which manufactures athletic wear. Your new contract with Atlanta United, a professional soccer team, allows Athleticon to be the sole suppler of athletic wear with the “Atlanta United” logo. No one lese can manufacture athletic wear with the “Atlanta United” logo. What do you think will be Athleticon’s level of profitability on the sale of “Atlanta United” athletic wear? Explain why. Your contract with Atlanta United only lasts 3 years. It was not renewed. Other firms can now manufacture athletic wear with the “Atlanta United” logo It is now 5 years after your contract with Atlanta United was terminated. Any manufacturer that wants to can manufacture and sell athletic wear with the “Atlanta United” logo. What do you think will be the level of profitability and rate of return on manufacturing athletic wear with the “Atlanta United” logo? Explain why.
Table 17-4 Only two firms, ABC and XYZ, sell a particular product. The following table shows the demand curve for their product. Each firm has the same constant marginal cost of $8 and zero fixed cost. O a. $5 O b. $15 Price (Dollars per unit) O c. $20 O d. $10 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 Refer to Table 17-4. How much less do each of these firms earn in the Nash equilibrium than if they jointly maximize profits? Quantity Demanded (Units) Total Revenue (Dollars) 0 130 240 330 400 450 480 490 480 450 400 330 240 130 0