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.
(a) Determine the total product function (TPL) for input L.
(b) Determine the marginal product function for input L.
(c) Determine the average product function for input L.
(d) Find the number of units of input L that maximizes the total product function.
(e) Find the number of units of input L that maximizes the marginal product function.
(f) Find the number of units of input L that maximizes the average product function.
(g) Determine the boundaries for the three stages of production.

Question

Quizplus · Accepted Answer

The Answer of 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. (a) Determine the total product function (TPL) for input L. (b) Determine the marginal product function for input L. (c) Determine the average product function for input L. (d) Find the number of units of input L that maximizes the total product function. (e) Find the number of units of input L that maximizes the marginal product function. (f) Find the number of units of input L that maximizes the average product function. (g) Determine the boundaries for the three stages of production.

A Certain Production Process Employs Two Inputs--Labor (L)and Raw Materials