Determine the boundaries for the three stages of production

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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 - 0.10L3 R3

Assume that raw materials (input R) are fixed at 10 units.

(a) Find the number of units of input L that maximizes the total product function.

(b) Find the number of units of input L that maximizes the marginal product function.

(c) Find the number of units of input L that maximizes the average product function.

(d) Determine the boundaries for the three stages of production.

Reference no: EM13160086

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