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In: Economics

(show all your work and calculations) A certain production process employs two inputs¾labor (L) and raw...

(show all your work and calculations)

A certain production process employs two inputs¾labor (L) and raw materials (R).  Output (Q) is a function of these two inputs and is given by the following relationship:

                           Q = 6L2 R2 - 0.1L3 R3

Assume that raw materials (input R) are fixed at 10 units

5 - Find the number of units of input L that maximizes the marginal product function

6 - Find the number of units of input L that maximizes the average product function

7 - Determine the boundaries for the three stages of production

8 - Find the number of units of input L where the law of Diminishing Marginal Returns starts to take effect first

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