The market demand curve for a homogeneous product is given by p=70-Q where Q is the total quantity demanded at a price p. Suppose that there are two firms in the market. Each firm has a constant marginal cost of 10, and there are no fixed costs. What price and firm output levels does the Bertrand model of competition predict? How much profit does each firm make in equilibrium? NÓ PLAGIARISED CONTENT PLEASE
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- Consider the market demand and supply for widgets: QP = 200-2P; QS = 3P – 180 (1) (a) If the market is perfectly competitive, find the equilibrium price and quantity, and find the consumer and producer surplus. (b) If the market has only one producer, whose cost function is TC 60Q+Q², find the equilibrium quantity and price, and find the consumer and producer surplus. (c) Based on (b), now suppose that the government imposes a $4 tax on per unit consumption. Find the new equilibrium price and quantity, the consumer and producer surplus, and the government revenue if the tax is imposed on the monopoly.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.Consider a firm's profit function, p(x)=R(x) - C(x), where R(x) is total revenue as a function is output (x), and C(x) is total cost as a function of output (x). 1/ Under perfect competition, each firm is a price taker. Assuming a competitive market price , p* = 10 and a cost function, C(x) = (x-5)^2, express the firm's profit as a function of x. 2/ Find the competitive firm's profit maximizing level of output, x*. 3/ If the firm we're only interested in minimizing costs, what level of output would it choose?
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