Find two positive numbers whose sum is 84 and whose product is as big as possible.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find two positive numbers whose sum is 84 and whose product is as big as possible.

1. Let one of two numbers be x. Then the other number must be
2. The product of two numbers is
which we will call f(x). This is the function we want to maximize.
3. Given the nature of the problem, we should only consider the values of x between
and
Transcribed Image Text:1. Let one of two numbers be x. Then the other number must be 2. The product of two numbers is which we will call f(x). This is the function we want to maximize. 3. Given the nature of the problem, we should only consider the values of x between and
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