Let demand for car batteries be such that Q = 100 − 2P. Assume constant marginal costs of 15. Compute the equilibrium price, quantity, consumer surplus, producer surplus and if relevant 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
Let demand for car batteries be such that Q = 100 − 2P. Assume constant marginal...
Let demand for car batteries be such that Q= 100-2p. Assume constant marginal costs of 15. Compute the equilibrium price, quantity, consumer surplus, producer surplus and if relevant deadweight loss for: 1. Two firms engaged in Cournot Competition. 2. Two firms engaged in Bertrand competition.
ECON 332 -Spring 2018 Name: Given the following information, answer the questions below: Op(P) = 100-2P C(Q) = 100 a) Find the perfectly competitive outcome, P*, Q* b) Using profit maximization, determine the monopoly quantity QM and price PM. Be sure to check second order conditions to determine whether you have identified a local maximum. c) Graph supply, demand, and marginal revenue curves. Identify P*, Q*, QM, and PM on the graph. d) Calculate consumer surplus and producer surplus (separately)...
Monopoly - End of Chapter Problem 6. Consider the accompanying demand schedule for diamonds. The marginal cost of producing diamonds is constant at $100. There is no fixed cost. Price of Quantity of diamonds diamond demanded $500 0 400 300 2 200 100 4 0 1 زرا 5 a. If De Beers charges $300 for a diamond, calculate total consumer surplus by summing individual consumer surpluses. How large is producer surplus? Consumer surplus: $ Producer surplus: $ Suppose that upstart...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the industry have marginal cost of 10 and no fixed cost. In this problem, the firms compete in quantities. (a) What is the equilibrium price, quantity, consumer surplus, profit (producer surplus) and deadweight loss if there is only one firm in the industry? (b) Now answer the same question if there are two firms in the industry (duopoly). How does your answer compare to the...
2. Consider a market where demand is given by Q = 60 – P and the marginal cost for every firm is $15. a. Assume the market is perfectly competitive. Find equilibrium price and quantity. Calculate consumer surplus, producer surplus, total surplus, and deadweight loss. b. Now assume that there is only one supplier in the market. Find equilibrium price and quantity. Calculate consumer surplus, producer surplus, total surplus, and deadweight loss. Is total surplus higher or lower compared to...
Consider a market with the following demand curve: ? = 200 − 2? MC=20 Assume ? > ???. a. Find the perfectly competitive price and quantity. ??? = _____________, ??? =_____________ b. Find the monopoly price and quantity. ?? = _____________, ?? =_____________ c. Find the loss of consumer surplus in monopoly vs. perfect competition. ?????? =_____________ d. Find the producer surplus in monopoly. ?????????? =_____________ e. Find the deadweight loss in monopoly. ??????????? =_____________
6. There are two firms in a market with marginal cost functions given by MC:(9) = 59 MC2(q) = q. Market demand is given by D(p) = 20 - 2p. (a) Obtain the competitive equilibrium output and price. Calculate consumer surplus and each firm's producer surplus. (b) Derive the monopoly price when only firm 1 operates. Calculate consumer surplus and each firm's producer surplus. (c) Derive the monopoly price when only firm 2 operates. (d) Now assume that a monopolist...
Suppose a profit maximizing monopolist has total cost and marginal cost as follow:1. Suppose a profit-maximizing monopolist has total cost and marginal cost as follow: \(\mathrm{TC}=0.1 Q^{2}+Q+10\) and \(\mathrm{MC}=0.2 Q+1\). It faces the demand curve \(\mathrm{Q}=35-5^{\mathrm{P}} .(35\) points \()\)a) What are the price, output, and profit for this monopolist?b) Carefully draw the diagram that illustrates your answers.c) What are the equilibrium price, output, and total profit if this is a perfectly competitive market?d) Compare the results between monopoly and perfect...
Question 3 Market demand is given byp(Q) 140- Q if Q < 140 There are two firms, each with unit cost of GHC20. Further assume that firms can choose any quantity or , otherwise. Define the reaction functions of the firms Find the Cournot equilibriunm Compare the Cournot equilibrium to the perfectly competitive outcome and to the monopoly outcome . One possible strategy for each firm is to produce half of the monopolist quantity. Would the resulting outcome be better...
1. Consider a market with inverse demand P(Q) = 100 Q and two firms with cost function C(q) = 20q. (A) Find the Stackelberg equilibrium outputs, price and total profits (with firm 1 as the leader). (B) Compare total profits, consumer surplus and social welfare under Stackelberg and Cournot (just say which is bigger). (C) Are the comparisons intuitively expected? 2. Consider the infinite repetition of the n-firm Bertrand game. Find the set of discount factors for which full collusion...