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 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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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
Maximize
 
the objective value.
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≤
 
25,000
​(C1​)
 
 
20X+30Y
less than or equals≤
 
6,000
​(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).
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