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# Maximum product What two nonnegative real numbers with a ISBN: 9780321570567 2

## Solution for problem 7E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Problem 7E

Maximum product What two nonnegative real numbers with a sum of 23 have the largest possible product?

Step-by-Step Solution:

Solution Step 1: Consider two nonnegative real numbers x and y Sum of x and y is constraints which is 23 that is x+y=23 Product of x and y is objective function P=xy Step 2 The first step is to use the constraints to express the objective function P in terms of single variable For this x+y=23 y = 23 x Step 3: Substituting for y the objective function becomes P=xy P=x(23-x) 2 P = 23x x ; 0 x 23 Which is the function of single variable x with P(0)=P(23)=0

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##### ISBN: 9780321570567

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