ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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(a) Find the monopoly’s profit-maximizing output and price.
(b) Calculate the monopoly’s profit and
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- Consider a monopoly with inverse demand given by P(q)=a-bq and cost function c(q)=cq, where a>c>0 and b>0 are parameters, and q is the quantity supplied by the monopoly. Find the monopoly’s profit-maximizing price and output, and calculate the output and the welfare loss compared to the competitive outcome.arrow_forward(a) 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. 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…arrow_forwardThe monthly demand function for x units of a product sold by a monopoly is p = 6,100 - Find the revenue function, R(x), in dollars. R(x) = Find the cost function, C(x), in dollars. C(x) = Find the profit function, P(x), in dollars. P(x) = Find P'(x). P'(X) = Find the number of units that maximizes profits. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest cent.) $ dollars, and its average cost is C = 3,040 + 2x dollars. Production is limited to 100 units. Does the maximum profit result in a profit or loss? O profit O lossarrow_forward
- For a monopoly, the demand and cost functions are: Demand: Q = 100 - 0.20P Cost: TC = 10 + 60Q Solve for the profit-maximizing quantity (Q).arrow_forwardConsider a market for cars with just one firm. The firm has a linear cost functionC(q) = 2q. The market inverse demand function is P(Q) = 9 − Q, where Q is thetotal quantity produced. Since initially there is just one firm, q = Q.(a) Set up the maximisation problem for the monopolist and determine the optimalprice and quantity of cars produced. How much profit does the firm make?arrow_forwardSuppose a manager is faced with the following demand curve for a new software application in a monopoly market, Q = 200 - 50P and the short run total cost function is TC = 2Q + Q2 / 30 If the manager is able to maximize the firms' profit in this monopoly market, what is the total profit value?arrow_forward
- A monopolist faces two geographically distinct markets, say market 1 is New York and market2 is California. The inverse demand curves in each market are P1 = 300 – Q1 and P2 = 200 – Q2. Themonopolist’s total cost function is C(Q) = 0.5Q^2 + 50Q and marginal cost function is MC(Q) = Q + 50,where Q = Q1 + Q2 is the total quantity that it produces. Your job is to find out how much quantity to sellin each market in order to maximize profit.a) Carefully express this monopolist’s profit maximization problem.b) State the two equations that characterize the profit-maximizing amounts of Q1 and Q2, given an interiorsolution with positive quantities sold in each market.c) Solve these two equations for Q1* and Q2*.d) Find the prices P1* and P2* that the monopolist should charge in each market.arrow_forwardThe demand function for a monopolist is given by: P1 = 1,450 - 3.5Q and C(Q) = 1,200 + 2.8Q^2. Graph this case and determine optimal P, Q, and profits.arrow_forwardFor a monopoly, marginal revenue is less than price because A) the firm is a price taker. B) the firm must lower price if it wishes to sell more output. C) the firm can sell all of its output at any price. D) the demand for the firm's output is perfectly elastic.arrow_forward
- The Buy n Large Corporation (BnL) is a monopolist in a market with the demand function:Qd = 320 − 4pBnL’s marginal cost function is:MC = 20/Q + 4and its average total cost function is:ATC = 240/Q + 20 + Q/8 (d) Suppose the government regulates BnL, so that they are forced to lower their price until social welfareis maximized. Determine the regulated price and quantity.(e) Draw a graph showing the demand curve, marginal revenue curve, and marginal cost curve. Label allaxes and curves. Mark out all intercepts, the profit-maximizing price and quantity, and the regulatedprice and quantity.(f) Determine the deadweight loss caused by BnL’s market power. Use your graph to help accomplish thisarrow_forwardThe demand function for a monopolist is given by: P1= 1,250 - 3.5 Q and the cost function if given by C(Q) = 1,200 + 2.8Q^2. Graph this case and show optimal P, Q, and profits.arrow_forwardWhich of the following methods would help society deal with a monopoly? Method Drag appropriate answer(s) here Require the firm to lower the costs so the market price will fall. Regulate the socially efficient price and subsidize any loss to the firm. Increase tariffs on monopoly firms in other countries. Not a Method +# Shut down the firm. Prevent the firm from buying all possible competitors in the market. Drag appropriate answer(s) here +arrow_forward
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