Question

An inferior product with an extensive advertising campaign does well when it is released, but sales decline as people discontinue use of the product. If the sales S (in thousands of dollars) after t weeks are given by

$S(t) = \frac{230t}{(t+8)^2}, t \geq 0.$

what is the rate of change of sales when t = 10? (Round your answer to two decimal places.) $S^{'}(t)$) = ________.

Interpret your result.

a. From the 10th to the 11th week, sales will decrease approximately $|S^{'}(t)|$ dollars.

b. From the 10th to the 11th week, sales will increase approximately $|S^{'}(t)|$ thousand dollars.

c. From the 10th to the 11th week, sales will increase approximately $|S^{'}(t)|$ dollars.

d. From the 10th to the 11th week, sales will decrease approximately $|S^{'}(t)|$l thousand dollars.

Answer 1

Your answer would be A love!