Explanation Given information: The sum of two nonnegative numbers is 100. Calculation: The sum of two nonnegative numbers is 100. (Given) ⇒ x + y = 100 Its product is denoted by P ( x ) . ⇒ P ( x ) = x y P ( x ) = x ( 100 − x ) Differentiating with respect to ‘x’, we get P ' ( x ) = 100 − 2 x To obtain the critical point, put P ' ( x ) = 0

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 4.3, Problem 35P

To determine

To find:

The maximum value of the product of two numbers.

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Chapter 4.3, Problem 34P

Chapter 4.3, Problem 36P

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Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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The maximum value of the product of two numbers.

Solution Summary: The author explains that the maximum value of the product of two numbers is 2500. Its product is denoted by P(x).

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To find: The maximum value of the product of two numbers.

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Chapter 4 Solutions

To find:

The maximum value of the product of two numbers.