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Maximizing Total Production Function

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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.
Find the number of units of input L that maximizes the total product function.

a. 2
b. 4
c. 3
d. 1

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Solution Summary

This solution shows how to get optimal number of units of labor from a production function when raw materials is fixed. Step-by-step calculations are provided in plain text.

Solution Preview

Q = 6L2 R2 - .10L3 R3, fixing R = 10 we get

Q = 600L2 - 100L3

Total production ...

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