To find an optimal point using the vertex testing method: Find the coordinates of each vertex of the feasible region. Evaluate the objective function at each of these points. Select the vertex that gives the optimal value of the objective function. A feasible region is defined by the following inequalities 2x + 4y ≥ 30 3x + y ≥ 25 x+y≥ 13 Vertex A B x y
To find an optimal point using the vertex testing method: Find the coordinates of each vertex of the feasible region. Evaluate the objective function at each of these points. Select the vertex that gives the optimal value of the objective function. A feasible region is defined by the following inequalities 2x + 4y ≥ 30 3x + y ≥ 25 x+y≥ 13 Vertex A B x y
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Please find and solve the attached optimization Problem
![To find an optimal point using the vertex testing method:
Find the coordinates of each vertex of the feasible region.
Evaluate the objective function at each of these points.
Select the vertex that gives the optimal value of the objective function.
A feasible region is defined by the
following inequalities
2x + 4y ≥ 30
3x + y ≥ 25
x + y ≥ 13
y
≥ 1
x 20
The objective function is to minimise
C = 140x + 170y
Sketch the graph to identify the
feasible region
then solve the related
simultaneous equations to find the
coordinates of each vertex.
2
20
15
-10
10
15
Vertex
A
B
C
D
x
y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8eb9a29d-c8a5-43f3-882a-2f5b09dbf139%2Fc5e06ec2-5c76-44f7-944b-367f3f14f668%2Fm1kgo7j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:To find an optimal point using the vertex testing method:
Find the coordinates of each vertex of the feasible region.
Evaluate the objective function at each of these points.
Select the vertex that gives the optimal value of the objective function.
A feasible region is defined by the
following inequalities
2x + 4y ≥ 30
3x + y ≥ 25
x + y ≥ 13
y
≥ 1
x 20
The objective function is to minimise
C = 140x + 170y
Sketch the graph to identify the
feasible region
then solve the related
simultaneous equations to find the
coordinates of each vertex.
2
20
15
-10
10
15
Vertex
A
B
C
D
x
y
![Vertex
A
B
C
D
X
y
Value of C = 140x + 170y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8eb9a29d-c8a5-43f3-882a-2f5b09dbf139%2Fc5e06ec2-5c76-44f7-944b-367f3f14f668%2Fylma6as_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Vertex
A
B
C
D
X
y
Value of C = 140x + 170y
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