Suppose you are employed at a monopolistic company as a research (pricing) economist and you are deriving the behavior of two markets based on demand curves given by: D1(P1) = 50 – Pi D2(P2) = 50 - 2p2 Assume that the marginal cost is constant at $8 a unit. (a) If it can price discriminate, what price should it charge in each market in order to maximize profits? (b) If it can't price discriminate, what price should it charge?
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- You are employed at a monopolistic company as a research (pricing) economist and you are deriving the behavior of two markets based on demand curves given by:D1(p1) = 50 - p1D2(p2) = 50 - 2p2 Assume that the marginal cost is constant at $8 a unit. (a) If it can price discriminate, what price should it charge in each market in order to maximize profits?(b) If it can’t price discriminate, what price should it charge?Suppose you are employed at a monopolistic company as a research (pricing)economist and you are deriving the behavior of two markets based on demand curves given by: D1 (p1) = 50 - p1 D2 (p2) = 50 - 2p2 Assume that the marginal cost is constant at $8 a unit. (a) If it can price discriminate, what price should it charge in each market in order to maximize profits? (b) If it can't price discriminate, what price should it charge?Suppose that a firm is an imperfect competitor in the product market and a perfect competitor in the input markets and uses two variable inputs: Derive mathematically the first order condition showing how much of each input the firm should use se to maximize total profits Give a graphical interpretation of your answer to part (a). What characteristic of your figure indicates that the second order condition for maximization is satisfied? Indicate on your figure the level of "monopolistic exploitation".
- Assume that two companies (A and B) are duopolists who produce identical products. Demand for the products is given by the following linear demand function:P = 200 - QA - QBwhere QA and QB are the quantities sold by the respective firms and P is the sellingprice. Total cost functions for the two companies areTCA = 1500 + 55QA + Q2ATCB = 1200 + 20QB + 2Q2BAssume that the firms act independently as in the Cournot model (i.e., each firmassumes that the other firm’s output will not change).a. Determine the long-run equilibrium output and selling price for each firm.b. Determine Firm A, Firm B, and total industry profits at the equilibrium solutionfound in Part (a).A golf club’s owner has commissioned a market study that estimates the average customer’s monthly demand curve for playing 18-hole golf game to be Q=50 – 0.5P, where Q stands for the number of 18-hole golf game, and P is the green fee. The marginal cost is given by MC=20. (1) Under two-part pricing strategy, what is the optimal amount of green fee to charge for one round of 18-hole golf game? (2) Under two-part pricing strategy, what is the optimal amount of membership due? (3) Under two-part pricing strategy, what is the size of the profit obtained from the average customer?There are two ice-cream parols on a beach. The dayly demand for ice-creams is given by Q = 3252 - 7p. The average variable cost of an ice-cream is 83 while the rent of the place is 576. How many ice-creams is one company selling if the two ice-cream stands operate as Cournot duopolists? (Please use 2 decimals in your answer.)
- Assume the following equations describe the conditions for a typical firm in a monopolistically competitive market: P = 6 - .00075qd TC = 4,000 + 2q + .00025q2 where qd is the firm's quantity demanded, P is the commodity's price in dollars, TC is the firm's total cost in dollars and q is the quantity of output produced. Based upon these equations, answer the following questions: a. What quantity of output will the profit-maximizing firm produce in the market's long-run equilibrium? What price will the profit-maximizing firm establish in the long run? Explain how you know this firm is in long-run equilibrium? b. Determine the firm's allocatively efficient quantity of output? c. Determine deadweight loss that exists when this firm is in monopolisitc competition's long-run equilibrium.Question 10A monopolistic producer of two goods, G1 and G2, has a joint total cost function TC = 5Q1 + Q1Q2 + 5Q2Where Q1 and Q2 denote the quantities of G1 and G2 respectivel. If P1 and P2 denote the corresponding prices then the demand equations areP1 = 40 − Q1 + Q2P2 = 20 + 2Q1 − Q2a) Find the total revenue function for each goodb) Find the profit function for the firmc) Find the maximum profit if the firm is contracted to produce a total of 12 goods of either typed) Find the price that the firm is supposed to charge for each good.e) Estimate the new optimal profit if the production quota increases by 2 unitsConsider a quantity-setting duopoly. The two firms are Alpha, Ltd. and Beta, Inc. The demand schedulein this market is: p Qd180 150155 175130 200Each firm has a constant marginal cost of 30 per unit. Suppose each firm can choose to produce either 75units or 100 units. Firms make their quantity choices simultaneously and the market price is whatever itneeds to be to sell the total output in the market.(a) Draw up the normal form game matrix, showing the players, strategies, and payoffs. Show your workdetermining the profits in each box in the matrix.(b) Determine the Nash equilibrium of this game.(c) Suppose the firms were able to come to an agreement to make more profit. What would this agreementbe?(d) Explain how the government might respond to such an agreement and why.
- Consider a quantity-setting duopoly. The two firms are Alpha, Ltd. and Beta, Inc. The demand schedulein this market is:p Qd180 150155 175130 200Each firm has a constant marginal cost of 30 per unit. Suppose each firm can choose to produce either 75units or 100 units. Firms make their quantity choices simultaneously and the market price is whatever itneeds to be to sell the total output in the market.(a) Draw up the normal form game matrix, showing the players, strategies, and payoffs. Show your workdetermining the profits in each box in the matrix.(b) Determine the Nash equilibrium of this game.(c) Suppose the firms were able to come to an agreement to make more profit. What would this agreementbe?(d) Explain how the government might respond to such an agreement and whyConsider any market that has a demand curve given by: Qd = 240 - 2P. Where Qd is the total quantity demanded in the market, given in millions of units and P is the market price, calculated in monetary units. Imagine that there are 2 Cournot oligopolists operating in this market with Cmg = CVme = 15 and fixed monthly costs equal to 1,400. About this market, ask yourself: a) What is the profit of each of the oligopolists? b) Imagine that one of the companies managed to implement a process innovation capable of halving its Cmg and CVme, so that they would go from 15 to 7.5. This investment implies an additional monthly expense of $1,800. Discuss the statement: "If this situation occurs, the innovative company will not implement variable cost reduction, as the quantity supplied in the market will increase very little; prices will remain very close to what they are today and its profits will not increase"Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function:P = 600 - QC - QDwhere QC and QD are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies areTCC = 25000 + 100QCTCD = 20000 + 125QDAssume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm’s output will not change).a. Determine the long-run equilibrium output and selling price for each firm.b. Determine the total profits for each firm at the equilibrium output found in Part (a).