QUESTION 7 Suppose inverse demand is given by the following equation P(Q) 600 - 20Q Suppose...
A monopolist has a cost curve c(q) = q^2-12q+8 and faces an inverse demand curve p(q) = 80-20q. Find the monopolist price and quantity, (p,q).
Scenario: Suppose that the demand is given by: P = 100 – Q Marginal Revenue is MR = 100 – 2Q and Total Cost function is : TC(Q) = 20Q Assume the firm is a price-maker (monopolist). What is the maximum profit?
Suppose a firm’s inverse demand curve is given by P=120-.5Q and its cost equation is C=420+60Q+Q2. Find the firm’s optimal quantity, price and profit (1) by using the profit and marginal profit equation and (2) by setting MR equal to MC. Also provide a graph of MR and MC. Suppose instead that the firm can sell any and all of its output at the fixed market price P=120. Find the firm’s optimal output.
1. Suppose that demand is given by P=100-Q, marginal revenue is MR=100-2Q, and marginal cost (and average cost) is constant at 20. a. What single price will maximize a monopolist's profit? b. What will be the prices and quantity under two-part pricing? It involves a lump sum fee (e.g., membership fee) equal to the consumer surplus at competitive prices and user fees (i.e., unit price) equal to the competitive price. c. Now the monopolist has another group of consumers whose...
Practice Question 4. The inverse demand curve a monopoly faces is p = 30 – Q. The firm's total cost function is C(Q) = 0.5Q² and thus marginal cost function is MC(Q) = Q. (a) Determine the monopoly quantity, price and profit, and calculate the CS, PS and social welfare under the monopoly. (b) Determine the socially optimal outcome and calculate the CS, PS and social welfare under the social optimum. (c) Calculate the deadweight loss due to the monopolist...
4. Suppose that a monopoly faces inverse demand given by P = 12-Q and has marginal cost equal to $2. (a) (5 points) Determine the equilibrium price, denoted by P (b) (5 points) If the market was instead served by perfectly competitive firms, then what is the equilibrium price? Denote it by P. (e) (4 points) If the monopolist can charge an entry fee in addition to its price P, then what is the optimal entry fee in this case?...
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?
You are a monopolist in a market with an inverse demand curve of: P=10-Q. Your marginal revenue is: MR(Q)=10-2Q. Your cost function is: C(Q)=2Q, and your marginal cost of production is: MC(Q)=2. a) Solve for your profit- maximizing level of output, Q*, and the market price, P*. b) How much profit do you earn?
Consider a monopolist firm facing an inverse demand curve given by P(Q) 2700-9Q. The firm's total cost is given by c(Q) 11,000+900Q (a) Show your work in solving for the firm's profit-maximizing quantity and price. What is (b) Plot this firm's revenue and total cost functions. Illustrate the profit-maximizing quantity (c) Now plot this firm's inverse demand, marginal revenue, and marginal cost curves. Il- the maximized value of profit? on this graph, as well as the firm's maximized profit level....
Uniform pricing monopolist has the following demand curve for its product: C(Q)=20Q, P=100-Q. The Marginal Cost is MC=20 and the Marginal Revenue is MR=100-2Q. 1. Find the monopolist Quantity and Price. 2.Find the Deadweight loss relative to the perfectly competitive outcome. 3. A. Calculate the welfare for the monopoly market, before and after the introduction of a price ceiling. B. Which scenario do the consumers prefer?