The following function is a company's price function, where p is the price (in dollars) at which quantity x (in thousands) will be sold. p = 600e−0.5x (a) Find the revenue function  R(x).  [Hint: Revenue is price times quantity, p · x.]   (b) Find the quantity and price that will maximize revenue. (Round your answers to two decimal places.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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The following function is a company's price function, where p is the price (in dollars) at which quantity x (in thousands) will be sold. p = 600e−0.5x

(a) Find the revenue function 
R(x).
 [Hint: Revenue is price times quantity, p · x.]
 
(b) Find the quantity and price that will maximize revenue. (Round your answers to two decimal places.)
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