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
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ISBN:9781337406659
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Chapter2: Introduction To Spreadsheet Modeling
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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
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
Transcribed Image Text:Vertex A B C D X y Value of C = 140x + 170y
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