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) = 190t(t + 7)2 , t ≥ 0 what is the rate of change of sales when t = 9? (Round your answer to two decimal places.) S'(t) = Interpret your result. From the 9th to the 10th week, sales will increase approximately |S'(t)| thousand dollars.From the 9th to the 10th week, sales will decrease approximately |S'(t)| thousand dollars. From the 9th to the 10th week, sales will increase approximately |S'(t)| dollars.From the 9th to the 10th week, sales will decrease approximately |S'(t)| dollars.

          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) = 
190t(t + 7)2
,    t ≥ 0
what is the rate of change of sales when 
t = 9?
 (Round your answer to two decimal places.)
S'(t) =
Interpret your result.
From the 9th to the 10th week, sales will increase approximately |S'(t)| thousand dollars.From the 9th to the 10th week, sales will decrease approximately |S'(t)| thousand dollars.     From the 9th to the 10th week, sales will increase approximately |S'(t)| dollars.From the 9th to the 10th week, sales will decrease approximately |S'(t)| dollars.

Added by Christopher B.

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