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Suppose that market demand is given by P = 260 - 2Q and that foirms again have a constant marginal cost of 20, while incurring no fixed cost, but now assume that the firms are Bertrand competitors and have unlimited capacity.
a. What is the one-period Nash equilibrium market price? Assuming that firms share the market evenly any time they charge the same price, what is the output and profit of each firm in this equilibrium?
b. What is the output and profit of each firm if each agrees to charge the monopoly price?
Assume that the cartel is established at the monopoly price. Suppose one rm now deviates from the agreement assuming that its rival continues to charge monopoly price.
a. Given the deviating firm's assumption, what price will maximize its profits?b. If the deviating firm's assumption is correct, how much will the profit of the cheating rm be? How much will be the profit of its non-cheating rival?
Return again to the cartel in Problems 4 and 5. Now suppose that the market game repeated indefinitely. What is the discount factor (sigma) is necessary now in order to maintain the collusive agreement in an indenitely repeated setting?
A $50,000 loan with nominal interest rate of 6% compounded monthly is to be repaid over 30 years with the payments of $299.77. The borrower wants to know how many payments he will have to make until he owes only half of the amount he borrowed init..
In the long-run, outsiders enter the market since they have observed the existing firms are profitable. As more and more firms in the market, the market price is reduce to P = 12. Assuming the MC = 3 + 3Q, what is the new optimal quantity for the ..
A monopolist faces a demand curve given by: P = 105 - 3Q, where P is the price of the good and Q is the quantity demanded. The marginal cost of production is constant and is equal to $15. There are no fixed costs of production.
The earnings, dividends, and common stock price of Carpetto Technologies Inc. are expected to grow at 8% per year in the future. Carpetto's common stock sells for $27.75 per share, its last dividend was $1.50, and it will pay a dividend of $1.62 a..
Suppose the firms colluded to fix output at QS = 90 and QW = 70. Fill in the missing price and profit information in the payoff table below, where the other output choice is the output for each firm that you determined above.
A state meat inspector in Iowa has been given the assignment of estimating the mean net weight of packages of ground chuck labeled "3 pounds." Of course, he realizes that the weights cannot be precisely 3 pounds. A sample of 36 packages reveals th..
Two firms currently produce the goods q1and q2separately. Their cost functions are C(q1) = 25 + q1, and C(q2) = 35 + 2q2. By merging, they can produce the two goods jointly with costs described by the cost function C(q1, q2) = 45 + q1+ q2.
Suppose that the price of apples falls to $12 per box, but the wage rate remains at $200. Now, live happley should hire? (1,2,3,4,5 workers) Assuming that all the apple-producing firms have a similar production schedule, a decrease in the price o..
An analyst wants to use the Black-Scholes model to value call options on the stock of Ledbetter Inc. based on the following data: The price of the stock is $40. The strike price of the option is $40. The option matures in 3 months (t = 0.25).
factory 2 has a marginal cost function given by MC2 = 0:5q2 5, how much total output will the company choose to produce and how will it distribute this production between its two factories in order to maximize profits
A local company drafted a proposal to invest $1,200,000 on this product resulting annual change in cash flow of $200,000 over 20 years period with interest rate of 5% should we accept the proposal what if the interest rate changes to 20%
A concept car that will get 100 miles per gallon and carry 4 persons would have a carbon-fiber and aluminum composite frame with 900 cc three cylinder turbodiesel / electric hybrid power plant. The extra cost of these technologies is estimated to ..
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