# Marginal Product Analysis

Given the production function: q= 72x+15x2-x3 where Q= output and x= input

a.What is the Marginal Product (MP) when X = 8?

b. What is the Average Product (AP) when X = 6?

c. At what value of X will Q be at its maximum?

d. At what value of X will Diminishing Returns set in?

https://brainmass.com/economics/production/marginal-product-analysis-128011

#### Solution Preview

Answer a:

Marginal Product is the first derivative of the production function. Thus taking the first order derivative we get:

MP = 72 + 30x -3x2

At x = 8:

MP = 72 + 30x8 - ...

#### Solution Summary

The solution answers several questions related to marginal product analysis.

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