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A certain production process employs two inputs - labor (L) and raw materials (R). Output (Q) is a function of these two inputs and is given by the following relationship:

Q = 6L2 R2 - .10L3 R3.

Assume that raw materials (input R) are fixed at 10 units. How many units of input L are required to maximize the total product function. How many are required to maximize the marginal product funtion and how many to maximize the average product function?

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Solution Summary

Steps are shown to maximize total product function.

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Q = 6L2 R2 - 0.10 L3 R3
When R = 10, The total product is
Q = 6L2 *10^2 - 0.10 L3 *10^3 = 600L2 - 100 ...

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