1. Consider a monopolist with cost function C(q) = 20q + 700 facing demand given by q = 200-5p, where p is the price of the good. a) Suppose the firm charges every consumer the same price. Show that the firm will not find it profitable to operate b) Suppose the firm is able to carry out perfect price discrimination. Will the firm operate in this case? What is the firm's profit equal to? c) Calculate the efficiency loss of the "single-price" monopoly outcome in part (a)

You are the manager of a monopolistic firm, and your demand and cost functions are given by P = 300 − 3Q and TC(Q) = C(Q) = 1,500 + 2Q2, What is the MR of the firm? What is the MC of the firm? Determine the profit maximizing level of price and output? How much profit will the monopolist make?

1. A firm faces the following inverse demand curve: P = 500 - 0.25Q Where: Q is the monthly production P is price, measured in dollars per unit. The firm also has a total cost (TC) function of: TC = 200Q. Assuming the firm maximizes profits, answer the following: a) Assuming the firm operates as a monopolist, calculate the following: price, quantity, and profit. Graph and show the equilibrium price and quantity. b) Assuming perfect competition, what are price, quantity and profit? Show on the graph from above.

A firm is originally operating as a single-price monopolist that faces a market demand curve P(Q) = 198 –0 and total cost curve equal to TC (q) = 10, 500 + 32Q, with constant MC equal to MC(Q) = 32 for all units produced. Part (a): How much output does the firm produce and at what price is each unit sold for? Part (b): Calculate the firm's profit. The firm now realizes there are actually two distinct groups of consumers that purchase their product, with the following demand functions: P(q1) = 242 – qı P(q2) = 176 – 92 Their total and marginal cost curves have not changed. If the firm wanted to successfully practice third-degree price discrimination: Part (c): How many units of output would they sell to group 1 and how much will each consumer in group 1 pay? Part (d): How many units of output would they sell to group 2 and how much will each consumer in group 2 pay? Part (e): How much profit is earned by the firm when they practice third-degree price discrimination? Part (f): How much…

Suppose a monopolist's total cost function is given by c = 0.004q +30q + 2000, and the revenue function is r = q(1200 - 6q), where c is measured in dollars and q is measured in tonnes per week. a. Determine marginal cost when g = 50. b. Express profit (n) as a function of q. Determine the profit-maximising level of output and the corresponding maximum profit. Justify your answers. C.

= 240 + 0.5Q², and face 4. A monopolist has the cost function TC(Q) market demand P = 45 – Q. (a) Find the monopoly equilibrium price and output. Find the monopolist's profit.

Suppose a nonlinear price discriminating monopolist faces an inverse demand curve: P = 110-Q, and can set three prices depending on the quantity a consumer purchases. The firm's profit is: π = P₁ Q₁ + P₂ (Q₂ −Q₁) + P3 (Q3 − Q₂) - mQ3, where p₁ is the high price charged on the first units Q₁ (first block) and P2 is a lower price charged on the next (Q₂ -Q₁) units and p3 is the lowest price charged on the (Q3 - Q₂) remaining units. Q3 is the total number of units actually purchased, and m = 75 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for P₁, P2, and p3, and the firm's profits. The profit-maximizing value for (round your answers to the nearest penny) P₁ P₂ = $ P3 = $ The firm's profit is $ 9 and

d. Suppose the government wants to move this market to the efficient quantity by imposing a per-unit subsidy in this market. Find the dollar amount per unit of output for this subsidy.

A movie monopolist sells to college students and other adults. The demand function for students is Q = 840 - 100P, and the demand function for other adults is Q = 1,600 - 100P. Costs is c(Q) = 12 +0.005Q2m per ticket, where Q=Qs+ QA- Instructions: Round your answers to 2 decimal places. a. What prices will the monopolist set when she can discriminate? Pstudent = $ per ticket. Padult = $ Profit = $ per ticket. b. What if demand for adults increases to Q = 1,800 - 100P? Pstudent = $ Padult = $ Profit = $ per ticket. per ticket. c. When adult demand increases, the adult price: decreases. does not change. increases. d. When adult demand increases, the student price: decreases. increases. does not change.

A different industry has a Demand curve given by Q = 100 p − 1 2 Assume that a monopolist supplies this industry. The cost function of this monopolist is c(Q)=2*Q. What is the price the monopolist charges? What is the quantity the monopolist sells?