math

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The price p and the quantity x sold of a certain product obey the demand equation below.

x equals negative 4 p plus 88 comma 0 less than or equals p less than or equals 30x=−4p+88,     0≤p≤30

(a)

Express the revenue R as a function of x.

(b)

What is the revenue if

6464

units are sold?

(c)

What quantity x maximizes revenue? What is the maximum revenue?

(d)

What price should the company charge to maximize revenue?

(e)

What price should the company charge to earn at least

$288288

in revenue?

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