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: Cengage Learning
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Chapter B, Problem 10E
To determine
To evaluate the optimal solution to the set of simultaneous equations in I petroleum
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This question illustrates the argument on p.114 of the book.
A and B own neighboring properties. Beneath their properties is a common well that contains 200 units of oil. The cost to A of extracting oil from the well in period t depends on the number of units of oil in the well at the beginning of the period t, ut, and the number of units of oil A extracts in period t, xAt ; specifically, the average cost of extraction for A per unit in period t is xAt /ut. The analogous cost function for B is xBt/ut. The market price of a barrel of oil is 1, there are two periods (t = 1, 2), and the discount rate is zero. The oil is a common property resource.
a) (2) Suppose that A and B "unitize" and cooperatively decide how much oil to extract, and split the profit between them. The jointly profit-maximizing policy is that each extracts 50 units of oil from her well in each of the first two periods, after which the well is dry. How much discounted profit will A and B each make?
b) (2) Suppose…
Beta Industries manufactures floppy disks that consumers perceive as identical to those produced by numerous other manufacturers. Recently, Beta hired an econometrician to estimate its cost function for producing boxes of one dozen floppy disks. The estimated cost function is C = 20 + 2Q^2.
a. What are the firm's fixed costs?
b. What is the firm's marginal cost?
Now suppose other firms in the market sell the product at a price of $10
c. How much should this firm charge for the product?
d. What is the optimal level of output to maximize profits?
e. How much profit will be earned?
f. In the long run, should this firm continue to operate or shut down? Why?
*Please show all work*
In the Heidman’s Department Store problem of Unit 2 of this module, suppose that the following transition matrix is appropriate:
Chapter B Solutions
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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