Consider the following short-run production function (where L = variable input, Q = output): Q = 6L 3− 0.4L 3 Determine the marginal product function (MP LP ). Determine the average product function (APLP ). Find the value of L that maximizes Q.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter7: Production Economics
Section: Chapter Questions
Problem 5E
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  • Consider the following short-run production function (where L = variable input, Q = output):

Q = 6L 3− 0.4L 3

  1. Determine the marginal product function (MP LP ).
  2. Determine the average product function (APLP ).
  3. Find the value of L that maximizes Q.
  4. Find the value of L at which the marginal product function takes on its maximum value.
  5. Find the value of L at which the average product function takes on its maximum value.
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