Maximizing XY: Problem 2 Solution - No Numbers Given

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Homework Help Overview

The discussion revolves around maximizing a function related to the area, specifically under the constraint of a given relationship between variables, where one variable is defined in terms of another.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore how to express the area in terms of a single variable and discuss the implications of the given constraint.

Discussion Status

Some participants have provided guidance on how to approach the problem, suggesting the need to express the area in terms of one variable. There is an ongoing exploration of the relationship between the variables involved.

Contextual Notes

There appears to be some confusion regarding the specific numbers or values to use in the problem, as well as the correct expression for the area to be maximized.

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1.http://www.teachingcenter.ufl.edu/materials/math_lab/oldtests/FA09_MAC2311_exam4ab.pdf Number 2



2. Maxamize XY subject to , y=sqrt(x)



3. I don't know what numbers to use...
 
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The first thing you need to do is determine what is to be maximized and write an equation for it. It's pretty clear from the sketch (and it isn't xy).
 
Maxamize Area. Area =(9-x)y
 
OK, correct. These types of problems are single variable optimization problems. The expression you have for area has x and y. How would you express area in terms of x only?
 
Last edited:
OK so , A'= 9-3x
x=3
I plug X into A= (9-x)(sqrt(x))
So the Area is 6*sqrt(3).
 
Correct.
 

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