BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 3.1, Problem 38E
To determine

To Find: The maximum or minimum value of the function g(x)=100x21500x

Expert Solution

Answer to Problem 38E

The value of minima is g(152)=675004

Explanation of Solution

Given: The function is g(x)=100x21500x

Calculation:

This is a quadratic function with a=100, and b=1500 . Thus, the maximum or minimum value occurs at

  x=b2a=15002(100)=1500200=152

Since, a>0 , the function has the minimum value

  g(152)=100(152)21500(152)=675004

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