# Marginal Cost of Food Processors

The total cost (in dollars) of producing 'x' food processors is

C(x)=2400 + 60x - 0.7x^2

(a) Exact cost of producing the 41st processor = 3.3

The part that I do not understand how to do:

(b) Use the marginal cost to approximate the cost of producing the 41st food processor.

I know I start off with:

C'(x)=(d/dx) (2400 + 60x - 0.7x^2), but not sure how I work it out from here.

Thanks!

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#### Solution Preview

Marginal Cost

The total cost (in dollars) of producing 'x' food processors is

C(x)=2400 + 60x - 0.7x^2

(a) Exact cost of producing the 41st processor = 3.3

The ...

#### Solution Summary

This solution explains how to calculate the marginal cost of food processors using a given linear equation.

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