# total product 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. 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?

© BrainMass Inc. brainmass.com October 9, 2019, 6:06 pm ad1c9bdddfhttps://brainmass.com/economics/production/total-product-function-78551

#### Solution Preview

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 ...

#### Solution Summary

Steps are shown to maximize total product function.

$2.19