1)Suppose that there are 1000 identical customers in a market. The market demand function is Q= 10-2P, where P is the price per unit of output. A firm's marginal cost is $1 and zero total fixed cost. If the firm uses a two-part pricing strategy, what is the total profit? A) $10000. B) $14000. C) $16000. D) $18000. E) $20000.
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1)Suppose that there are 1000 identical customers in a market. The
A) $10000.
B) $14000.
C) $16000.
D) $18000.
E) $20000.
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- A firm faces two types of consumers. Consumer A has an inverse demand of P = 120-10 Q and consumer B has an inverse demand of P = 60-2Q. The firm has a constant marginal cost of $20. Assume the firm does not know which type a given consumer is. She offers to sell the good at a price of 70$ per unit. However, if the customer buys 10 or more units, she will offer a quantity discount and charge only 40$ per unit (including the first 10). Which consumer will use the price discount? Question 7 options: Neither costumer will purchase from this firm at all. Customer A will choose the quantity discount and customer B will not choose the quantity discount. Both consumers will chose the quantity discount. Neither of the two consumers will opt for the quantity discount. Instead, both will purchase at the higher price of 70 and buy less than 10 units each. Customer B will choose the quantity…Consider a simple Bertrand market in which N=3 firms compete by setting prices. As long as they can purchase for less than 20, 10 million consumers select to buy the good from the cheapest firm, and break indifferences at random with equal probabilities if more than one firm set the lowest price. a- The three firms have equal marginal costs c1 =c2 =c3 =5. Derive the demand and payoff function of each firm i as a function of the prices in the market. b- What is the set of non-dominated strategies (or prices) for each firm? c- Derive the Nash Equilibrium of this game. d- How do total consumer surplus, welfare, and profits in the market change relatively to a- above if firm 1 becomes more efficient, and specifically if c1 =2<c2=c3=5 How does total consumer surplus, welfare, and profits in the market change if relatively to d- above, while firm 1 becomes more efficient, firms 2 and 3 experience a cost-increase (e.g. inputs become harder to procure) so that c1 =2<c2 =c3 =7? f- In…Assume the inverse demand function in a market is given by P ( Q ) = 500 − Q where Q is the total industry output, that is the sum of the output of all firms in the market. There are two firms (indexed by i = 1,2) who both have a cost of producing the good given by c ( q i ) = 10 ∗ q i The two firms are competing in the Cournot manner, that is they choose their quantities simultaneously in order to maximize profits. What is the best response of firm 1 if firm 2 chooses an output level of 200? (input a whole number:) The best response function of firm 1 with respect to firm 2's quantity choice takes the form: q 1 ( q 2 ) = w ∗ ( x − y ∗ q 2 − z ) where (w,x,y,z) are parameters of the problem. Solve for this best response function and provide the product (w*x*y*z) in the next blank: What is the Nash Equilibrium quantity produced by firm 1? (round to the nearest whole number)
- Consider the following market demand function: Q= 20-2P, where P is the market price. Suppose there are two firms- A,B in the market and they have the same cost function: the per unit cost of producing output is 4. The firms compete by choosing quantities. Find the reaction functions for both the firms if they are maximizing profits. What is the profit maximizing output for each firm and corresponding market price? If there was only one firm in the market how would your answer change?Suppose the inverse market demand for manufactures is P(Q) = A – Q, where P and Q denote price and total goods produced and the parameter A denotes the size of the domestic market. Suppose any firm has a cost function, c(q) = cq, where A > c. Suppose there are two firm in the market which produce q1 and q2, where Q = q1 + q 2 a. Solve for the Cournot equilibrium levels of output (Q*), price (P*) and markups. b. What is the impact of an increase in market size, A, on Q*, P* and markups when there are two firms? Provide some intuition for these predictions. c.…Firms often price their products by “marking up” a fixed percentage over average cost. To investigate the consequences of markup pricing, consider a single firm that faces the demand Q = 90 − P, for P ≤ 90. The firm’s TOTAL cost function is C(Q) = 20Q. In this example, would a 50% markup lead to a more or less efficient outcome than the profit maximizing rule in part Q3.2? How do you define efficiency? Explain.
- Asap Three electricity generating firms are competing in the market with the inverse demand given by P(Q) = 20-Q. All firms have constant marginal costs. Firm 1's marginal cost is MC = 5; it has a capacity constraint of K1 = 5 units. Firm 2's marginal cost is MC = 8; it has a capacity constraint of K2 = 2.5 units. Firm 3's marginal cost is MC= 10; it has a capacity constraint of K3 = 2.5 units.A. The three firms compete in the style of Cournot. Please compute the Nash equilibrium quantities. Also compute the price in the Nash equilibrium.B. Which of these firms would have produced a larger quantity if it had a larger capacity? Please explain.Two firms, Firm 1 and Firm 2, compete by simultaneously choosing prices. Both firms sell an identical product for which each of 100 consumers has a maximum willingness to pay of $40. Each consumer will buy at most 1 unit, and will buy it from whichever firm charges the lowest price. If both firms set the same price, they share the market equally. Costs are given by C; (qi) = 16q¡ . Because of government regulation, firms can only choose prices which are integer numbers, and they cannot price above $40. Could you help me with these questions? a) If Firm 1 chooses Pi price? = 32, Firm 2's best response is to set what b) If Firm 2 chooses the price determined in the previous question, Firm 1's best response is to choose what price? c) If Firm 1 chooses p₁ = 9, Firm 2's best response is a range of prices. What is the lowest price in this range?Suppose the total monthly demand for golf services is Q = 20 − P. The marginal cost to the firm of each round is $1. If this demand function is based on the individual demands of 10 golfers, what is the optimal two-part pricing strategy for this golf services firm? How much profit will the firm earn?
- Consider a market demand function P=100-0.01Q. There are only two firms in the market and each firm's total cost function is 40q to produce identical products. Suppose Firm 1 is the first mover (leader) and Firm 2 is the follower. What is the optimal level of quantity for Firm 2 in this Stackelberg model? 1000 1500 2000 25000 3000You estimate that a typical consumer’s inverse demand function is P=200-20Q and your cost function is C=80Q. Determine the optimal two-part pricing strategy. How much will 4 consumers pay?Suppose an ocean-front hotel rents rooms. In the winter, demand is: P1=50−1Q1 with marginal revenue of: MR1=50−2Q1. However, in the summer, demand is: P2=140−1Q2 with marginal revenue of:: MR2=140−2Q2. Furthermore, suppose the hotel's marginal cost of providing rooms is MC=5+1Q, which is increasing in Q due to capacity constraints. Suppose the hotel engages in peak-load pricing. During the winter, the profit-maximizing price is $35 and the profit-maxizing quantity is 15 rooms. (Enter numeric responses rounded to two decimal places.) During the summer, the profit-maximizing price is $_____ and the profit-maximizing quantity is _________.