Explanation Given: The daily profit P in dollars of Pine Tree Picnic Tables in the summer months is described by the function: P ( x ) = − 5 x 2 + 300 x − 4000 where x is the number of tables that are manufactured in one day. Formula used: Zero product property: If a ⋅ b = 0 , then a = 0 , or b = 0 , or a and b both equals to zero. Calculation: Consider the provided profit function, P ( x ) = − 5 x 2 + 300 x − 4000 To obtain a daily loss of $ 105 , substitute P ( x ) = − 105 in the above function and solve for x

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 8.5, Problem 36E

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To calculate: The number of tables should be made per day to obtain a daily loss of $105 if the profit function is P(x)=−5x2+300x−4000.

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Chapter 8.5, Problem 35E

Chapter 8.5, Problem 37E

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Chapter 8 Solutions

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The number of tables should be made per day to obtain a daily loss of $ 105 if the profit function is P ( x ) = − 5 x 2 + 300 x − 4000 .

Solution Summary: The author calculates the daily profit P in dollars of Pine Tree Picnic Tables in the summer months by substituting P(x)=-105 in this function and solving for x.

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To calculate: The number of tables should be made per day to obtain a daily loss of $105 if the profit function is P(x)=−5x2+300x−4000.

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Chapter 8 Solutions