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value of variable input that maximize output in short run production function

Consider the following short run production function (where L – variable input, Q-output) Q = 6L2 – 0.4L3 a. Determine the marginal product function (MPL) b. Determine the average product function (APL) c. Find the value of L that maximizes Q d. Find the value of L at which the marginal product function takes on its maximum value. e. Find the value of L at which the average product function takes on its maximum value.

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