Question

A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by

C'(x) = 0.0006x2 − 0.12x + 22
What is the total cost incurred by Ditton in producing the 201st through 300th units/day?

Answer 1

3000

Explanation:

The cost of interest will be given by the integral ...

`\displaystyle\int\limits^(300)_(200) {(0.0006x^2-0.12x+22)} \, dx =\left.(0.0002x^3-0.06x^2+22x)\right|_(200)^(300)\\\\=6600-3600=3000`

The cost of producing units 201 through 300 is 3000.