# calculus

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(1 pt) A new software company wants to start selling DVDs with their
product. The manager notices that when the price for a DVD is 15
dollars, the company sells 132 units per week. When the price is
27 dollars, the number of DVDs sold decreases to 84 units per week.

A. Assume that the demand curve is linear. Find the demand, q, as a function of price, p.
B. Write the revenue function, as a function of price.
C. Find the price that maximizes revenue. Hint: you may sketch the
graph of the revenue function. Round your answer to the closest dollar.
D. Find the maximum revenue, i.e., the revenue that corresponds to your answer for the preceding question.

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