## Question

###### Suppose the marginal cost is C'(x) = 0.24x² - 16.8x + 303 to produce x items....

Suppose the marginal cost is C'(x) = 0.24x² - 16.8x + 303 to produce x items. Complete parts a through c. (a) Use a graph or a table on a calculator to find the coordinates of the vertex of C'(x). The vertex is (35,9). (Type an ordered pair.) (b) What do the coordinates represent in terms of production costs? The cost to increase production from to units is approximately dollars. 36 (c) Find C'(x) dx and interpret what the quantity means. 35 36 c'(x) dx 35 36 so C'(x) dx is the additional cost if the company increases production from to units. 35

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