## An inferior product with a large advertising budget sells well when it is introduced, but sales fall as people discontinue use of the produc

Question

An inferior product with a large advertising budget sells well when it is introduced, but sales fall as people discontinue use of the product. Suppose that the weekly sales S are given by S = 500t /(t + 5)2 , t ≥ 0 where S is in millions of dollars and t is in weeks. After how many weeks will sales be maximized?

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2021-10-08T16:18:44+00:00
2021-10-08T16:18:44+00:00 1 Answer
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## Answers ( )

Answer:Sales will be maximized after 5 weeks .

Step-by-step explanation:We are given that the weekly sales S are given by

Substitute the S'(t)=0

So,

Substitute t = 5 in S”(t)

Since S”(t) at t =5 is less than 0

So, maximum

So, Sales will be maximized at t = 5

Hence Sales will be maximized after 5 weeks .