1. Find two numbers whose sum is 50 and whose product is a maximum. 2. Find the dimensions of a rectangle with area is 120 m² whose perimeter is as small as possible. 3. Find a positive number such that the sum of the number and twice its reciprocal is as small as possible.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 103E
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1. Find two numbers whose sum is 50 and whose product is a maximum. 2. Find the dimensions of a rectangle with area is 120 m² whose perimeter is as small as possible. 3. Find a positive number such that the sum of the number and twice its reciprocal is as small as possible.
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