Assume that the demand curve is linear. Find the demand, q, as a function of price, p. nswer: q = . Write the revenue function, as a function of price. Answer: R(p) = . Find the price that maximizes revenue. Hint: you may sketch the graph of the revenue function. Round your answer to the closest dollar. nswer: . Find the maximum revenue. Answer:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 87CR
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A new software company wants to start selling DVDs with their product. The manager notices that when the price for a DVD is 17 dollars, the company sells 141 units per week. When the price is 34 dollars, the number of DVDs sold decreases to 80 units per week. Answer the following questions:

questions:
A. Assume that the demand curve is linear. Find the demand, q, as a function of price, p.
Answer: q =
B. Write the revenue function, as a function of price. Answer: R(p)
C. Find the price that maximizes revenue. Hint: you may sketch the graph of the revenue function. Round your answer to the closest dollar.
Answer:
D. Find the maximum revenue. Answer:
...
Transcribed Image Text:questions: A. Assume that the demand curve is linear. Find the demand, q, as a function of price, p. Answer: q = B. Write the revenue function, as a function of price. Answer: R(p) C. Find the price that maximizes revenue. Hint: you may sketch the graph of the revenue function. Round your answer to the closest dollar. Answer: D. Find the maximum revenue. Answer: ...
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A new software company wants to start selling DVDs with their product. The manager notices that when the price for a DVD is 17 dollars, the company sells 141 units per week. When the price is 34 dollars, the number of DVDs sold decreases to 80 units per week

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