Economics—Cost Function: The FrezMore Company has determined that the weekly cost of produ...

Economics—Cost Function: The FrezMore Company has determined that the weekly cost of producing their Roommate line of dormitory-sized refrigerators is given by

where x represents the number of dormitory-sized refrigerators produced and C(x) represents the cost in dollars.

(a) Compute C′(x) using the definition of derivative, where .

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(b) Use the result of part (a) to determine C′(40) and C′(100) and interpret each using appropriate units.