1) The cost, in thousands of dollars, of airing x television commercials during a sports event is given by

C  ( x ) = 150 + 2,700 x − 0.06 x ² .

(a) Find the marginal cost function C\\\' ( x ).

C\\\'(x) =

(b) Use the marginal cost to approximate the cost to air the 5th commercial. Convert your answer to dollars.

The cost to air the 5th commercial is approximately __ dollars.

(c) What is the exact cost to air the 5th commercial? Convert your answer to dollars.

The exact cost to air the 5th commercial is ____ dollars.

2) Your monthly profit (in dollars) from your newspaper route is given by P = 2n − ✓n 

where n is the number of subscribers on your route. If you currently have 100 subscribers, find your profit and your marginal profit.

a) profit $_____

b) marginal profit $_____

Interpret your answers.

c) Your current profit is $___ per month and this would increase at a rate of $____ per new subscriber.