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 R³Assume that raw materials (input R) are fixed at 10 units.
(a)Determine the total product function (TP_L) 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.

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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 R³Assume that raw materials (input R) are fixed at 10 units. (a)Determine the total product function (TP_L) 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