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3.
Demand Equation The price p and the quantity x sold
of a certain product obey the demand equation
x = -5p+100, 0≤ p ≤ 20
(a) Express the revenue R as a function of x.
(b) What is the revenue if 15 units are sold?
(c) Graph the revenue function using a graphing utility.
(d) What quantity x maximizes revenue? What is the
maximum revenue?
(e) What price should the company charge to maximize
revenue?