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 = 100e−0.5x (a) Find the revenue function  R(x).  [Hint: Revenue is price times quantity, p · x.] R(x) =        (b) Find the quantity and price that will maximize revenue. (Round your answers to two decimal places.) x  =     thousand units p  =  $

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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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 = 100e−0.5x
(a)
Find the revenue function 
R(x).
 [Hint: Revenue is price times quantity, p · x.]
R(x) = 
 
 
 
(b)
Find the quantity and price that will maximize revenue. (Round your answers to two decimal places.)
x  =     thousand units
p  =  $  
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