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.
Q = 6L2 R2 - .10L3 R3, fixing R = 10 we get
Q = 600L2 - 100L3
Total production ...
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.