1) The cost, in thousands of dollars, of airing x television commercials during a sports event is...
Question:
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.
Understanding Basic Statistics
ISBN: 978-1111827021
6th edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase