Ajax Cleaning Products is a medium-sized firm operating in an industry dominated by one large firm—Tile King. Ajax produces a multiheaded tunnel wall scrubber that is similar to a model produced by Tile King. Ajax decides to charge the same price as Tile King to avoid the possibility of a price war. The price charged by Tile King is $20,000. Ajax has the following short-run cost curve:TC = 800000 - 5000Q + 100Q2a. Compute the marginal cost curve for Ajax.b. Given Ajax’s pricing strategy, what is the marginal revenue function for Ajax?c. Compute the profit-maximizing level of output for Ajax.d. Compute Ajax’s total dollar 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
Chapter11: Price And Output Determination: Monopoly And Dominant Firms
Section: Chapter Questions
Problem 7E
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Ajax Cleaning Products is a medium-sized firm operating in an industry dominated by one large firm—Tile King. Ajax produces a multiheaded tunnel wall scrubber that is similar to a model produced by Tile King. Ajax decides to charge the same price as Tile King to avoid the possibility of a price war. The price charged by Tile King is $20,000. Ajax has the following short-run cost curve:

TC = 800000 - 5000Q + 100Q2

a. Compute the marginal cost curve for Ajax.
b. Given Ajax’s pricing strategy, what is the marginal revenue function for Ajax?
c. Compute the profit-maximizing level of output for Ajax.
d. Compute Ajax’s total dollar profits.

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