Question
Consider this linear program: MinimizeZ = 45 x + 45 y Z=45x+45y Subject to2 11 x + 1 5 y 1 ( C 1 )
Consider this linear program:
MinimizeZ
=
45
x
+
45
y
Z=45x+45y
Subject to2
11
x
+
1
5
y
1
(
C
1
)
13
2
x
+
4
y
26
(
C
2
)
x
5
(
C
3
)
2
15
y
1
(
C
4
)
x
,
y
0
211x+15y1(C1)132x+4y26(C2)x5(C3)215y1(C4)x,y0
(a)Graph the feasible region for the constraints.(50%)
Drawing the feasible region requires 3 mouse clicks for each constraint. Use the first two clicks to draw the line and the third click to select the region satisfying the constraint.
(B)Graph only the feasible region.(10%)
Click once on each corner point of the feasible region to draw it. Then click on the first point again to close and shade it.
(C)State the optimal solution point and the objective function value.(30%)
Enter your answers below as fractions or decimals accurate to at least 3 decimal places. Do not use rounded values to calculate the objective function value. Use exact values.
The optimal solution occurs at
x
x
=, y
y
=
The optimal objective function value,Z
Z
=
(D)At optimal solution, which constraints arenon-binding?(10%)
Select all that apply.
- C
- 1
- C1
- C
- 2
- C2
- C
- 3
- C3
- C
- 4
Step by Step Solution
There are 3 Steps involved in it
Step: 1
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-text-image.webp)
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Step: 3
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started