Consider the four linear optimization problems of maximizing a linear function under the sets of constraints listed below. Match each of the constraint sets with one of the four figures depicted below so that the grey area depicts the feasible domain of the problem. 3x1 + x2 > 6 5x1 +7x₂ < 35 > 0 ≥ 0 21 12 3x1 + x2 5x1 +7x₂ < 6 > 35 20 2 0 21 3x1 + x₂ 5x1 + 7x2 21 x2 . <6 <35 > 0 20 3x1 + x₂ 5x17x2 X1 X2 > 6 > 35 > 0 > 0 C Reset

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 1CYU
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Consider the four linear optimization problems of maximizing a linear function under the sets of
constraints listed below.
Match each of the constraint sets with one of the four figures depicted below so that the grey area
depicts the feasible domain of the problem.
3x1 + x2 2 6
5x1 +7x₂ < 35
10
₂ > 0
3x1 + x2
5x1 +7x₂
I1
I2
<6
> 35
Σ 0
> 0
3x1 + x₂
5x1+7x2
<6
< 35
I1
> 0
x2 > 0
3x1 + x2
5x17x2 > 35
> 6
AI AI AI AI
X1 > 0
X2
0
C Reset
Transcribed Image Text:Consider the four linear optimization problems of maximizing a linear function under the sets of constraints listed below. Match each of the constraint sets with one of the four figures depicted below so that the grey area depicts the feasible domain of the problem. 3x1 + x2 2 6 5x1 +7x₂ < 35 10 ₂ > 0 3x1 + x2 5x1 +7x₂ I1 I2 <6 > 35 Σ 0 > 0 3x1 + x₂ 5x1+7x2 <6 < 35 I1 > 0 x2 > 0 3x1 + x2 5x17x2 > 35 > 6 AI AI AI AI X1 > 0 X2 0 C Reset
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