Consider the cost function of Example 6.

(a) Graph C(x) in the window [0, 60] by [-300, 1260].

(b) For what level of production will the cost be $535?

(c) For what level of production will the marginal cost be $14?

Example 6.

Suppose that the cost of producing x items is

C(x) = .005x³ - .5x² + 28x + 300 dollars, and daily production is 50 items.