Problem

Assume that each row of the accompanying table has a linear cost function. Find (a) the co...

Assume that each row of the accompanying table has a linear cost function. Find (a) the cost function; (b) the revenue function; (c) the profit function; (d) the profit on 100 items. (See Example.)

Table

Fixed Cost

Marginal Cost per Item

Item Sells For

$20,000

$12.50

$30

Example

A company manufactures a 42-inch plasma HDTV that sells to retailers for $550. The cost of making x of these TVs for a month is given by the cost function C(x) = 250x + 213,000.

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