An industry face the demand curve Q=400-4P, where each firm produces an indentical good at a constant marginal cost of $10. The Bertrand equilibrium market quantity is
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An industry face the demand curve Q=400-4P, where each firm produces an indentical good at a constant marginal cost of $10. The Bertrand
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- Suppose that the market consists of 6 identical firms , that the market demand curve is P=200-2Q and that each firm's marginal cost is 32. The cournot equilibrium quantity per firm is q=_____________________ and the equilibrium quantity in the market is Q=______________________. The market price is P=$______________ per unit.A firm with market power faces the demand function, q = 150 – 10P. The firm's marginal cost function is MC(q) = 2 + 0.1q. If the firm establishes a block-pricing structure with two prices, the lower price that the firm will use to maximize producer surplus is $____.Consider an identical n-firm Cournot market with market size S = 1, total demand p = 10 − Q (where Q is the total market quantity), and the total cost for each firm is C(q) = 1 + q. Assuming that firms continue to enter so long as profit is not negative, how many firms will enter the market in equilibrium?
- A firm with market power faces the demand function q = 2,000- 40P. The firm's marginal cost function isMC(q) = 10 +0.002q.If the firm establishes a block pricing structure with two different prices, identify the two prices the firm will use to maximize producer surplus. Give your answers to two decimal places.P1=________P2=________Consider Cournot competition with n identical firms. Suppose that the inverse demand function is linear with P(X) = a - bX, where X is total industry output, a; b > 0. Each firm has a linear cost function of the form C(x) = cx, where x stands for per firm output. It is assumed that a > c. a. At the symmetric equilibrium, what are the industry output and price levels? What are the equilibrium per firm output and profit levels? What is the equilibrium social welfare (defined as the difference between the area under the demand function and total cost)? b. Now let m out of n firms merge. Show that the merger is profitable for the m merged firms if and only if it involves a pre-merger market share of 80 percent. c. Show that each of the (n – m) non merged firms is better off after the merger. d. Show that the m-firm merger increases industry price and also lowers consumer welfare.Carl and Simon are the only sellers of pumpkins at the market, where the total demand function for pumpkins is q =3 ,200−1,600p. The total number of pumpkins sold at the market is q = qC + qS, where qC is the number that Carl sells, qS is the number that Simon sells. The cost of producing pumpkins for each farmer is $.50 per pumpkin; the fixed costs are zero. .a. Find the Cournot equilibrium price and quantities. .b. Find the Bertrand equilibrium price and quantities. . .c. Suppose now that every spring the snow thaws off of Carl’s pumpkin field a week before it thaws off of Simon’s. Therefore, Carl can plant his pumpkins one week earlier than Simon while predicting Simon’s choice based on the previous year information. Simon observes Carl’s choice and chooses how much pumpkin to plant. Find the new equilibrium price and quantities. .d. Compare the quantities and prices in parts a, b, and c. Rank these outcomes according to Pareto efficiency.
- Suppose that the Bob Buttons Company (BBC) enters the market. BBC has the same cost function of c=3q+1. Let denote q1 the quantity sold by ABC and denote the q2 quantity sold by BBC. Now suppose that ABC and BBC reach a Cournot equilibrium. Q: What would be the net change in ABC’s profit as a result of BBC’s entry into the market?____ (type in a negative number if ABC’s profit decreases) (please see the attachement for partial of my work, not sure if it's correct, thank you!)Assume there are two firms, firm A and B, engaged in Cournot competition. The industry demand curve is given by P = 220 - Q, where Q = QA + QB denotes industry output. Each firm faces a marginal cost of production equal to $16. In equilibrium, what will be the output level of firm A?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.…
- Consider a competitive industry with a market demand curve of P = 252 - Q, where P is market price and Q is the quantity demanded in the market. Each firm in the industry has a cost function of TC = 196 + q^2, if q > 0 where q is output of the individual firm (TC = 0 if q = 0). The market is initially in long-run equilibrium. The government decides to regulate the industry by issuing licences to all firms currently in the industry. and not to allow any further entry by other firms without a licence. That is, the number of licences is fixed, and entry requires that an existing licence holder sells their licence to the potential entrant, leaving the number of firms producing in the industry fixed. Subsequent to the introduction of this regulation, the market demand curve shifts to P = 432 - Q. What is the value of the licence?A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where Q = q1 + q2. Both firms have constant marginal cost MC = 100. What is the Bertrand equilibrium price and quantity in this market?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?