a. When the production level is at 40,000 units, use the LaGrange process to determine how much they should spend on labor and capital.                                b. If the purchasing agent requests an additional unit (40,001st unit), what is the minimum price you should charge on that specific unit? (Note: determine this without re-solving the Lagrange problem itself.)

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
Chapter7: Production Economics
Section: Chapter Questions
Problem 7E
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A firm has a production function of q=2(LK), where the L represents hours of labor, K represents hours of machine usage and q represents the hourly production volume. Currently the price of labor is $20 per hour and the price of capital is $40 per hour.

a. When the production level is at 40,000 units, use the LaGrange process to determine how much they should spend on labor and capital.                               

b. If the purchasing agent requests an additional unit (40,001st unit), what is the minimum price you should charge on that specific unit? (Note: determine this without re-solving the Lagrange problem itself.)

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