November 29, 2015

Homework Help: Calculus

Posted by Roland on Thursday, April 25, 2013 at 12:30pm.

A company manufactures widgets. The daily marginal cost to produce x widgets is found to be
C'(x) = 0.000009x^2 - 0.009x + 8

(measured in dollars per unit). The daily fixed costs are found to be $120.

a. Use this information to get a general cost function for producing widgets.

b. Find the total cost of producing the first 500 widgets.

c. If you sell the widgets for $25 each, how many will need to be sold before the company begins making a profit? (Hint: The revenue function is R(x) = $25x;
after you integrate Cí(x), set C(x) = R(x) and solve for x. Finding the
intersection of the graphs of these two function may help you here.)

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