Consider a price discriminating monopolist facing two markets for its good. The demand equations faced by the monopolist and its cost function are: Market 1: Q1 = 55 – P1 Market 2: Q2 = 70 – 2P2 Cost Function: TC(Q) = 100 + 5Q, where Q = Q1 + Q2 If the monopolist cannot maintain the separation between the two markets, calculate the optimal output level and determine the price will this be sold
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Consider a
equations faced by the monopolist and its cost function are:
Market 1: Q1 = 55 – P1
Market 2: Q2 = 70 – 2P2
Cost Function: TC(Q) = 100 + 5Q, where Q = Q1 + Q2
If the monopolist cannot maintain the separation between the two markets, calculate the optimal output level and determine the price will this be sold
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- 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.Suppose the inverse demand function is linear: p(q) = a - Bq. The monopolist's cost function is c(q) = 6q2 . Assume the monopolist must charge a uniform price. (a) Find the optimum monopoly price and quantity. Also calculate the deadweight loss. (b) Suppose the government can levy a lump-sum tax T (i.e., a fixed amount independent of production) and an excise tax t per unit of production on the monopolist. These taxes can be negative, in which case they are subsidies. The proceeds of these taxes can be transferred to consumers. The monopolist is always free to quit the market, in which case she does not have to pay any taxes. The government wants to maximize the consumer welfare. Find the optimum values of t and T.A monopolist has discovered that the inverse demand function of a person with income Y for the monopolist’s product is P = 0.002Y-Q where P is the price, Y the income, and Q is the output. The monopolist can observe the incomes of its consumers and hence vary its price accordingly. The monopolist has a total cost function C(Q) = 100Q. A. Calculate the profit maximising price as a function of the consumer’s income Y carefully explaining all the steps in the derivation of the formula. B. A monopolist has a constant marginal cost of £2 per unit and no fixed costs. He faces two separate markets in the United States and in the UK. The goods sold in one market are never resold in the other. He sets one price P1 for the US market and another price P2 for the UK market (both measured in £). The demand in the United States is given by Q1=7,000-700P1 and the demand in the UK is given by Q2=1,200-200P1. Calculate the profit maximising output produced and price charged in each country by the…
- Consider a monopolist local movie theater which has two distinct client groups, adults and seniors. The inverse demands for the two group are given by:p(qA) = a − b · qAp(qB) = a/3-b/3.qB(a) Describe the demand function in the two markets graphically and then compute the demand elasticity in each market.(b) Compute the demand function qP under the assumption that the movie theather canonly offer a single price to both segments of the market. (Hint: at a given price addthe demand of the adults and senior market. You need to go from the inverse demand function to the demand function.) Illustrate the aggregate demand function in contrast to the demand functions in each segment. Now compute the optimal price of the movie theater when it can only offer a single and common price to the market segments. Who goes to the movies and who does not?(c) Next allow the movie theater to offer different prices in each segment and customerscannot mispresent their identity. What is the optimal price in…A monopolist has a cost function c(q) = 5q+800 and faces aggregate demand q=3000 - 120p. Suppose first that monopolist sells q=400 units. The monopolist's revenue would be The monopolist profit would be The absolute value of the price elasticity of demand would be The consumer surplus would be Now suppose that the monopolist chooses q to maximize its profit. The monopolist's revenue would be The monopolist profit would be The absolute value of the price elasticity of demand would be The consumer surplus would beSuppose that a monopolist producing bicycles can divide the aggregate demand into two groups: The domestic market and the foreign market. The demand curve for the monopolist’s product in the domestic market is y1=1200-10p1 and the demand curve for the monopolist’s product in the foreign market is y2=800-10p2. The monopolist’s total cost function is given by C(y)= 50y where y=y1+y2. a)Assume that the monopolist does not practice price discrimination. Calculate his/her profit-maximizing price-quantity combination and the maximum profit. b) Assume that the monopolist practices third-degree price discrimination. Calculate his/her profit-maximizing price-quantity combination and the maximum profit in each market.
- Consider a price discriminating monopolist facing two markets for its good. The demand equations faced by the monopolist and its cost function are:Market 1: Q1 = 55 – P1Market 2: Q2 = 70 – 2P2Cost Function: TC(Q) = 100 + 5Q, where Q = Q1 + Q2 a. If the monopolist can maintain the separation between the two markets, calculate the optimal output level that the firm should produce for each market to maximize profits.b. Determine the prices the monopoly should charge in each market, and calculate the profit of the monopoly.c. Construct a graph to represent your findings in item a and bd. If the monopolist cannot maintain the separation between the two markets, calculate the optimal output level and determine the price will this be sold?Consider the case of a monopolist who charges the same price to all consumers. The demand for the good is given by Q=813-7p, where Q denotes the quantity demanded at price p. The firm's total cost of producing Q units is given by the function C(Q) = 7 Q What is the profit maximizing price for this monopolist? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number.)A monopolist’s inverse demand function is estimated as P = 450 − 3Q. The company produces outputat two facilities; the marginal cost of producing at Facility 1 is M C1(Q1) = 2Q1, and the marginal costof producing at Facility 2 is M C2(Q2) = 6Q2.(a) Provide the equation for the monopolist’s marginal revenue function.(b) Determine the profit maximizing level of output for each facility.(c) Determine the profit maximizing price.
- A monopolist faces a market demand curve given by: Q= 70−p. a) If the monopolist can produce at constant average and marginal costs of: AC = MC = 6. what output level will the monopolist choose to maximize profits? What is the price at this output level? What are the monopolist’s profits? b)Assume instead that the monopolist has a cost structure where total costs are described by: C(Q) = 0.25Q^2 - 5Q + 300.With the monopolist facing the same market demand and marginal revenue, what price- quantity combination will be chosen now? What will profits be? c)Assume instead that the monopolist has a cost structure where total costs are described by: C(Q) = 0.0133Q^3 -5Q + 250.With the monopolist facing the same market demand and marginal revenue, what price-quantity combination will be chosen now? What will profits be? d) Graph the market demand curve, the MR curve, and the three marginal cost curves from (a), (b), and (c).Suppose a monopolist faces two markets with demand curves given by D1(p1) = 200 -p1 D2(p2) = 100 -2p2 Assume that the monopolist’s cost function is c(y) = y^2 1. What is the optimal prices for the monopolist if it can charge different prices in these markets? 2. What is the optimal price if the monopolist must charge the same price in each market? 3. How much total consumers’ surplus changes between the two separate prices and the same price cases? This is my fourth submission. no part of any previous solution was remotely right. I need this answered quickly. Yall have spent several days getting this wrong.A single firm produces widgets, with a cost function and inverse demand function as follows, C(q) = 150 + 2q P(Qd) = 10 − 0.08Qd (a) Calculate the monopolist’s profit-maximizing price, quantity, and profit if he can charge a single price in the market (single price monopolist). (b) Suppose the firm can sell units after your answer to (a) at a lower price (2nd-degree price discrimination, timed-release). What quantity will be sold for what price in this second-tier market? Calculate the monopolist’s profit. (c) Suppose each new tier of pricing the monopolist introduces increases fixed costs by $2 (quantities can be irrational). What is the profit-maximizing quantity, number of prices, monopolist’s profit, and deadweight loss? (d) Suppose the firm can perfectly price discriminate (1st-degree) with a 40% increase in marginal cost; calculate the profit-maximizing quantity, monopolist’s profit, and deadweight loss? (e) Between (c) and (d), which is socially preferred? Which would the…