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The price p and the quantity x sold of a certain product obey the demand equation below. x=4p+80,0p20 (a) Express the revenue R as a

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

x=4p+80,0p20

(a)

Express the revenue R as a function of x.

(b)

What is the revenue if 64 units aresold?

(c)

What quantity x maximizesrevenue? What is the maximumrevenue?

(d)

What price should the company charge to maximizerevenue?

(e)

What price should the company charge to earn at least $300 inrevenue?

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