Wutz UpDogs, Inc., supplies hot dogs to sport stadiums. The total profit function per game is given by P(x) = 3x - x In(x) on the interval [1, 200], where x is the number of hot dogs (in thousands) sold and P(x) is in thousands of dollars. (a) How many hot dogs (in thousands) should be sold to maximize profit? (Round your answer to three decimal places.) thousand hot dogs (b) What is the maximum profit (in thousands of dollars) for Wutz UpDogs, Inc.? (Round your answer to three decimal places.) thousand dollars

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Wutz UpDogs, Inc., supplies hot dogs to sport stadiums. The total profit function per game is given by P(x) = 3x - x In(x) on the interval [1, 200], where x is the number of hot dogs (in thousands) sold and P(x)
is in thousands of dollars.
(a) How many hot dogs (in thousands) should be sold to maximize profit? (Round your answer to three decimal places.)
thousand hot dogs
(b) What is the maximum profit (in thousands of dollars) for Wutz UpDogs, Inc.? (Round your answer to three decimal places.)
thousand dollars
Transcribed Image Text:Wutz UpDogs, Inc., supplies hot dogs to sport stadiums. The total profit function per game is given by P(x) = 3x - x In(x) on the interval [1, 200], where x is the number of hot dogs (in thousands) sold and P(x) is in thousands of dollars. (a) How many hot dogs (in thousands) should be sold to maximize profit? (Round your answer to three decimal places.) thousand hot dogs (b) What is the maximum profit (in thousands of dollars) for Wutz UpDogs, Inc.? (Round your answer to three decimal places.) thousand dollars
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