5. Suppose a company has a monopoly on a game called Monopoly and faces a demand curve given by QT = 100-P and a marginal revenue function given by MR = 100 - 2QT where QT equals the combined total number of games produced per hour in the company's two factories (QT = 91 +92). If factory 1 has a marginal cost function given by MC₁ =q1-5 and factory 2 has a marginal cost function given by MC2 = 0.5q25, how much total output will the company choose to produce and how will it distribute this production between its two factories in order to maximize profits?

5. Suppose a company has a monopoly on a game called Monopoly and faces a demand curve given by QT = 100-P and a marginal revenue function given by MR = 100 - 2QT where QT equals the combined total number of games produced per hour in the company's two factories (QT = 91 +92). If factory 1 has a marginal cost function given by MC₁ =q1-5 and factory 2 has a marginal cost function given by MC2 = 0.5q25, how much total output will the company choose to produce and how will it distribute this production between its two factories in order to maximize profits?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

ChapterB: Differential Calculus Techniques In Management

Section: Chapter Questions

Problem 1E

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An economist was trying to understand the relation between price, Marginal Revenueand Marginal cost in Monopoly and Perfect Competition. Determine equilibrium priceand output in the long run under Monopoly and Perfect Competition if the marketdemand curve is given as QD=500-2P and Marginal cost is Rs 50. Also comment onthe values obtained in the case of Monopoly and Perfect Competition
2. Suppose the cost function for a monopoly is given by TC =F+c.q where TC is the total cost, F is the fixed cost and q is the output of the firm. The demand function for the monopoly is given by q = A-bP where A > 0 and b > 0. Find out the profit maximizing price, quantity, and profit for the monopoly. Also find out the expression for the marginal revenue of the monopoly as well as the elasticity of demand facing the monopoly.
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Monsanto holds significant regional monopoly power-in some regions they are a true monopoly being the only seller of agriculture seeds. If the elasticities of demand, JEDI, for soybean seeds is 3.5, and 3 for corn, then the profit-maximizing price (relative to marginal cost) for soybeans is times marginal cost, and the price is times marginal cost for corn. Round to one decimal if needed. A Moving to another question will save this response. « >
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