The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+70x−0.3x^2.

Question

The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+70x−0.3x^2.

​(A) Find the exact cost of producing the 91st food processor.

​(B) Use the marginal cost to approximate the cost of producing the 91st food processor.

Answer 1

C(x)=2200+70x−0.3x^2

(A) Find the exact cost of producing the 91st food processor.

C(91) = $6085.70

(B) Use the marginal cost to approximate the cost of producing the 91st food processor.

C'(x) = 70 - .6x

C'(91) = $15.40