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.

Solution Summary

Rates of Change of Cost and Marginal Cost are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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