# Maximizing Total Production Function

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

https://brainmass.com/economics/production/maximizing-total-production-function-78545

#### Solution Preview

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

Q = 600L2 - 100L3

Total production ...

#### 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.

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