uppose that a monopolist offers two different products with demand functions P1 56 – 4q1 || - P2 = 48 – 2q2 %3| The monopolist's joint cost function is C(q1, 92) = qỉ + 5q192 + q?
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- N6R9. A computer software firm has developed a new and better spreadsheet program. The program is protected by copyrights, so the firm can act as a monopolist for this product. The demand function for the spreadsheet is q = 50,000 - 100p. Any single consumer will want only one copy. The marginal cost of producing and distributing another copy and its documentation is just $10 per copy. If the company sells this software at the profit-maximizing monopoly price, the number of consumers who would not buy the software at the monopoly price but would be willing to pay at least the marginal cost is a. 50,000. b. 12,000. 14,000. 25,000. None of the above. C. d. e.From the following problem, how to get the 7150?
- Assume Ghacem Limited (Ghacem) continues to enjoy monopoly power over the production and sale of cement products in Ghana and operates with marginal costs of Ghs10 and sells to two sets ofconsumers. It is estimated that each set ofconsumers is made up of20 buyers. The individual demand function for the first set of consumers (A) is given by: QA(P) = 20 - P; and for the second set of consumers (B) it's given as: QB(P) = 16 - P; Using the above information estimate market output(s), price(s) and profits for both set of consumers under the following condition(s): 1. If Ghacem cannot prevent arbitrage ii. If Ghacem is able to prevent arbitrage but has no knowledge about the type of consumers it is dealing with. iii. If Ghacem is capable of preventing arbitrage between the different set ofconsumers but not within consumers in the same group. iv. If Ghacem can now identify all its consumers and can prevent arbitrage both between and within groups of consumers.Suppose that the monopolist from Question 4 is now forced to charge the same price in both markets. Using thedemand functions and cost function from Question 4, what is the total inverse demand in this case? What is theprofit-maximizing price? What is the monopolist’s profit? (Question 4 = A monopolist is operating in two separate markets. The inverse demand functions for the two markets are P1 = 35 – 2.5Q_1 and P2 = 30 – 2Q_2. The monopolist’s total cost function is TC(Q) = 8 + 5(Q_1 + Q_2). Q_1 means Q subscript 1Use the second order condition for a maximum to check whether or not the values that you have computed do represent a maximum.
- PQ7.1 Case: A Monopolist is producing at a point at which Marginal Cost exceeds Marginal Revenue. Question: How should the Monopolist adjust the Firm's Output to increase Company Profit?(2) function p = A monopolist (public utility company) serves a market with inverse demand 20 – q. The monopolist's long-run cost function is C(q) = 10 + 2q if q > 0 and C(0) = 0. %3| (a) If the monopolist is not regulated, what price does it charge and how much output does produce? (b) The government wants to regulate the monopolist to maximize social surplus. Describe an optimal regulation policy that ensures the monopolist does not exit the market. How much does social surplus increase with this policy?Mighty Cleaners, Inc, is a monopolist in the specialised cleaning industry. Its cost is C = 220 - 4Q + Q2 and demand is P = 180 - 3Q, where Q is the number of hours of cleaning they provide and P is the price per hour of cleaning they charge. Find the optimal price P and output Q. What would be its profit? Please round your final answers to two decimal places, if necessary. For example, type in 12.5 for quantity, 2.34 for price and 300.78 for profit. • the optimal output (the number of hours of cleaning) is 45 hours. • the optimal price is $ 45 • the profit is 0
- Industrial Economics A prott-maximizing monopolist sells its products in two diferent markets n the first market, the demand is P, = 70 - 9 in the second market, the demand is P, = 50 - 2 Marginal costs are constant in each market and equal to MC=S10. The total profit that the monopolist will get if it is able to engage in third-degree price discrimination wil be O (a) 2880 $ O (b) 3200 S O (c) 2900 S O (d) 3000 S BuccessivoSuppose a monopoly supplied its market from two plants, with cost functions: C₁ = 18 q₁ and C₂ (92) = 392. The monopolist faces a linear demand p = 238 - 5 Q, where Q is the amount sold in this market, which is the total amount produced by both plants. Find the quantities produced at each plant to maximize the monopolist's profit. 91 Number Number Now check the second order conditions: The Hessian is b sin (a) da f 8 a Ω B A₂You are employed at a monopolistic company as a research (pricing) economist and you are deriving the behavior of two markets based on demand curves given by:D1(p1) = 50 - p1D2(p2) = 50 - 2p2 Assume that the marginal cost is constant at $8 a unit. (a) If it can price discriminate, what price should it charge in each market in order to maximize profits?(b) If it can’t price discriminate, what price should it charge?