4. For a monopolist with marginal cost of c, where c> 0, facing a market demand of X(p) = a – bp, derive general formulas that determine the monopolist's pricing decisions under the block pricing and two-part tariff price strategies. What is the general formula for profits under each pricing strategy?

Suppose a monopolist operates in a market with two types of consumers (“high” and “low” types) and offers two types of goods (“high quality” and “low quality”). In general, if the monopolist wants to implement second-degree price discrimination (i.e. to sell the “high quality” good to the “high” type consumer and the “low quality” good to the “low” type consumer), they may have to set the price of the “high quality” good lower than the willingness-to-pay of the “high” type.(a) True. (b) False.

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…

A monopolist with cost function C(q) = ;q? faces 2 consumers with the following demands: p(q1) = 10 - q1 and p(q2) = 20 – 2q2. Determine prices, quantities to be produced and sold and the monopolist's profits in the following cases: (a) The good can be resold at zero cost among consumers and it is technologically impossible to sell it in bundles of more than 1 unit. b) There is resale at zero cost and bundling in packages of arbitrary size. c) Resale is possible at a cost of "t" per unit. d) The good is a personal and non-transferable service. e) Repeat the above analysis, but this time assuming that costs are C(q) = q with q < 8.

A monopolist is able to price discriminate in two market segments. The inverse demand curve in segment 1 is P1 = 400 - Q1 and the inverse demand curve in segment 2 is P2 = 300 - Q2. The firm's total cost function is TC = Q^2. How many units will the monopolist sell and at what price in segment 1 and segment 2?

Q1. Consider a monopolist which produces two different products, each having the following demand functions: - P₁, 91 = 14- 1 92 = 24- P2. where 9₁ and 92 represent the output levels of product 1 and product 2 and p₁ and p2 represent their prices. The monopolist's joint cost function is given as C (91, 92) = 91 +59192 +92². Write out the monopolist's profit function.

On the market of good Y there are 50 identical consumers. Each consumer has a demand function q=300-2pGood Y is produced by a monopolist, which is operating with a constant marginal cost of 50 and a fixed cost of 2000. Suppose the monopolist implements a two-part tariff pricing strategy. Calculate the maximum profit

A monopolist book publisher with a constant marginal cost of 2 and no fixed costs sells novels in only two countries. Assume the inverse demand curve in country 1 is given by P₁ = 10-Q and the inverse demand curve in country 2 is given by P₂ = 18-Q Assuming book shipments across countries are banned so that price discrimination occurs. What is the equilibrium price and quantity of books sold by the monopolist in country 1? Continuing to assume price discrimination, what is the equilibrium price and quantity of books sold by the monopolist in country 2? If book imports are permitted in both countries so that price discrimination is impossible, what is the equilibrium price and quantity sold in the two countries combined? P=1, Q=16 P=1, Q=12 P=4, Q=8 11 P=6, Q=6 P=4. Q=14 P=6, Q=12 P=8, Q=10 P=10, Q=8 P=6, Q=20 P=7, Q=20 P=10, Q=8 P=12, Q=6

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?