Wutz UpDogs, Inc., supplies hot dogs to sport stadiums. The total profit function per game is given by P(x) = 5x – x In(x) on the interval [1, 500], where x is the number of hot dogs (in thousands) sold and P(x) is in thousands of dollars. (a) How many hotdogs should be sold to maximize profit? Round to three decimal places if necessary. thousands of hot dogs (b) What is the maximum profit for Wutz UpDogs, Inc.? Round your answer to three decimal places if necessary. thousands of dollars

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Wutz UpDogs, Inc., supplies hot dogs
to sport stadiums. The total profit
function per game is given by
P(x) = 5x – x In(x) on the interval
[1, 500], where x is the number of hot
dogs (in thousands) sold and P(x) is in
-
thousands of dollars.
(a) How many hotdogs should be sold
to maximize profit? Round to three
decimal places if necessary.
thousands of
hot dogs
(b) What is the maximum profit for
Wutz UpDogs, Inc.? Round your
answer to three decimal places if
necessary.
thousands of
dollars
Transcribed Image Text:Wutz UpDogs, Inc., supplies hot dogs to sport stadiums. The total profit function per game is given by P(x) = 5x – x In(x) on the interval [1, 500], where x is the number of hot dogs (in thousands) sold and P(x) is in - thousands of dollars. (a) How many hotdogs should be sold to maximize profit? Round to three decimal places if necessary. thousands of hot dogs (b) What is the maximum profit for Wutz UpDogs, Inc.? Round your answer to three decimal places if necessary. thousands of dollars
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