Question: 4. (0206) Solve the problem. The price p and x, the quantity of a certain product sold, obey the demand equation P = - -

4. (0206) Solve the problem. The price p and x, the quantity of a certain product sold, obey the demand equation P = - - x + 100, (x|0 s x = 1000) a) Express the revenue R as a function of X. b) What is the revenue if 450 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? U Font Family - AAA D E E . E5. (0206) Solve the problem. The price p (in dollars) and the quantity x sold of a certain product obey the demand equation P = -1/6x + 100. a) Express the revenue R as a function of x. ( R(x) = _) ? b) What is the revenue is 250 units are sold. c) What does this graph look like? (hand drawn or calculator is fine. The graph should be in the answer box) d) What quantity x maximizes revenue (x = _units)? What is the maximum revenue (R = _?)? e) What price should the company charge to maximize revenue? U Font Family AA - A

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