Explore BrainMass

# Rates of Change : Cost and Marginal Cost

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

3.) A company determines that the cost in dollars to the manufacture x cases of the dvd "math caught in embarrassing moments" is given by C(x) = 100 + 15x - x^2, (0< or = x < or = 7)

a.) Find the average rate of change of the cost per case for the manufacturing between 1 and 5 cases [ review ex. 2a]

So on the average, the cost increased at the rate of _______ per case when the production increased from 1 to 5 cases.

b.) Find the instantaneous rate of change of cost with respect to the number of cases produced when just one case is produced. [ review ex. 2b]

When 1 case is manufactured , in the cost is ___________ at the rate of ______ per case . (marginal cost)

c.) Find the marginal cost when 5 cases are made.

When 5 cases are manufactured , the cost is increasing at the rate of \$________ per case: that is the marginal cost when x+5 is \$__________. Notice that as the number of items produced goes up, the marginal cost goes down.

https://brainmass.com/math/calculus-and-analysis/rates-change-cost-marginal-cost-35660

#### Solution Preview

Please see the attached file for the complete solution.

Rates of Change two

3.) A company determines that the cost in dollars to the manufacture x cases of the dvd "math caught in embarrassing moments" is given by C(x) = 100 + 15x - x^2, (0< or = x < or = 7)

The rate of change in the cost is
C'(x) = ...

#### Solution Summary

Rates of change of cost and marginal cost are investigated and the steps to get to the arrive is provided. The solution is detailed and well presented.

\$2.49