Consider the following problem: Find two numbers whosesum is 23 and whose product is a maximum.(a) Make a table of values, like the following one, so thatthe sum of the numbers in the first two columns isalways 23. On the basis of the evidence in your table,estimate the answer to the problem (b) Use calculus to solve the problem and compare withyour answer to part (a) first number second number product 1 22 22 2 21 42 3 20 60 . . . . . . . . .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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Consider the following problem: Find two numbers whose
sum is 23 and whose product is a maximum.
(a) Make a table of values, like the following one, so that
the sum of the numbers in the first two columns is
always 23. On the basis of the evidence in your table,
estimate the answer to the problem (b) Use calculus to solve the problem and compare with
your answer to part (a)

first number second number product
1 22 22
2 21 42
3 20 60
. . .
. . .
. . .
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