The optimum solution is: X = 200.00200.00 (round your response to two decimal places). Y = 0.000.00 (round your response to two decimal places). Optimal solution value 'Z' = 16000.0016000.00 (round your response to two decimal places).
The optimum solution is: X = 200.00200.00 (round your response to two decimal places). Y = 0.000.00 (round your response to two decimal places). Optimal solution value 'Z' = 16000.0016000.00 (round your response to two decimal places).
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...
Related questions
Question
The Chris Beehner Company manufactures two lines
of designer yard gates, called model A and model B. Every gate requires blending a certain amount of steel and zinc; the company has available a total of
25,000
lb of steel and
6,000
lb of zinc. Each model A gate requires a mixture of
125
lb of steel and
20
lb of zinc, and each yields a profit of
$80.
Each model B gate requires
100
lb of steel and
30
lb of zinc and can be sold for a profit of
$35.
The aim of the objective function for Chris Beehner Company should be to
the objective value.
Maximize
Decision variables:
X = number of Model A gates to be produced
Y = number of Model B gates to be produced
Objective function:
|
|
Z=
|
8080X+3535Y
|
|
|
Subject to:
|
|
|
125X+100Y
|
less than or equals≤
|
(C1)
|
|
|
|
20X+30Y
|
less than or equals≤
|
(C2)
|
|
|
|
X, Y
≥0
|
|
|
On the graph on right, constraints
C1
and
C2
have been drawn. Using the point drawing
tool,
plot all the corner points for the feasible area.The optimum solution is:
X =
200.00200.00
(round your response to two decimal places).Y =
0.000.00
(round your response to two decimal places).Optimal solution value 'Z' =
16000.0016000.00
(round your response to two decimal places).Expert Solution
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