Suppose that individual (inverse) demand for candles is given by p=100-500q , and there are 1000...
A monopolist’s inverse demand is P=500-2Q, the total cost function is TC=50Q2 + 1000Q and Marginal cost is MC=100Q+100, where Q is thousands of units. a). what price would the monopolist charge to maximize profits and how many units will the monopolist sell? (hint, recall that the slope of the MARGINAL Revenue is twice as steep as the inverse demand curve. b). at the profit-maximizing price, how much profit would the monopolist earn? c). find consumer surplus and Producer surplus...
2. The inverse demand for hangars is given by: P-3-Q/16,000. Suppose further that the marginal cost of producing hangars is constant at $1 and the fixed cost is zero. a) What is the equilibrium price and quantity of hangars if the market is competitive? b) What is the equilibrium price and quantity of hangers if the market is monopolized? c) What is the dead weight or welfare loss of monopoly in this market?
Consider a homogeneous product industry with inverse demand function p-35 -Q a) Assume that the industry is initially monopolized by an incumbent firm (firm I) which has the exclusive right to use the state-of-the-art technology summarized by the total cost function C-10q. Find the initial monopoly equilibrium (price, quantity, industry profit, consumer surplus and total surplus) and the associated degrees of concentration (Herfindahl index) and market power (Lerner index) b) Assume now that a new firm (firm N) discovers and...
Consider a homogeneous product industry with inverse demand function p-35 -Q a) Assume that the industry is initially monopolized by an incumbent firm (firm I) which has the exclusive right to use the state-of-the-art technology summarized by the total cost function C-10q. Find the initial monopoly equilibrium (price, quantity, industry profit, consumer surplus and total surplus) and the associated degrees of concentration (Herfindahl index) and market power (Lerner index) b) Assume now that a new firm (firm N) discovers and...
Consider a new firm that is a monopolist in a market with (inverse) demand: p(y) = 1000y^(−x) The firm has a cost function c(y) =Cy whereCis a non-negative constant(M C=Cis constant). 1. Show analytically that this demand has a constant elasticity 2. Write out the firm’s profit function in terms of x, y and C. 3. Derive the Necessary First Order Condition for profit to be at a maximum. What is the sufficient Second Order Condition for this point to...
3. Monopoly Consider a situation where a monopolist faces the following inverse market demand curve 132 - 2a p and the following cost function TС — 12g + 2q* a) Derive the marginal revenue and marginal cost functions b) What are the equilibrium price and quantity if this market behaved as if it were competitive? c) Calculate the Consumer Surplus, Producer Surplus and Welfare levels under perfect petition d) What are the equilibrium price and quantity when the monopolist produces...
Consider a situation where a monopolist faces the following inverse market demand curve p= 100 – 4 and the following cost function TC = 4q+72 a) Derive the marginal revenue and marginal cost functions. b) What are the equilibrium price and quantity if this market behaved as if it were perfectly competitive? c) Calculate the Consumer Surplus, Producer Surplus and Welfare levels under perfect com- petition. d) What are the equilibrium price and quantity when the monopolist produces as a...
2. A monopolist has a cost function given by TC 250+q+.004q. The inverse market demand for boxes is given by p 8-.0010. The monopolist is curranty able to exclude rivals from the market becaus of a spocial governmental zoning rule (a) What is its output and what price does it charge for boxes? (b) Calculate the firm's profit at this output level. (c) Calculate the firm's producer's surplus at this output level. (d) Calculate the consumer's surplus in this situation....
4. Monopoly (15 pts) Consider a situation where a monopolist faces the following inverse market demand curve p= 100 – 0.54 and the following cost function TC = 89 +92 a) Derive the marginal revenue and marginal cost functions. b) What are the equilibrium price and quantity if this market behaved as if it were perfectly competitive? c) What are the equilibrium price and quantity when the monopolist produces as a monopolist?
3. The market illustrated below has inverse demand p(Q) = 130 - 3Q and industry-wide marginal cost MCQ) = 10 + 2Q. If production is competitive, this is the market (inverse) supply curve. If production is consolidated under a monopolist, this is the monopolist's MC curve. a. Suppose there is a monopolist. Explain how marginal revenue for a monopolist is different than for a firm under perfect competition. Then derive the profit-maximizing market outcome (including the monopoly price and quantity...