The aim of the objective function for Chris Beehner Company should be to 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= x+DY Subject to: 25,000 (C,) 125X + 100Y |6,000 (C2) 20X + 30Y X, Y 20 On the graph on right, constraints C, and C2 have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X= (round your response to two decimal places). Y = |(round your response to two decimal places). Optimal solution value 'Z' = (round your response to two decimal places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 47P
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Please answer clearly and bold answers.

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 Ib of zinc. Each model A gate requires a
mixture of 125 Ib of steel and 20 lb of zinc, and each yields a profit of $75.
Each model B gate requires 100 Ib of steel and 30 Ib of zinc and can be sold
400-
350-
300-
for a profit of $45.
250-
The aim of the objective function for Chris Beehner Company should be to
> 200
V the objective value.
150-
Decision variables:
X= number of Model A gates to be produced
Y = number of Model B gates to be produced
100-
Objective function:
50-
Z=
X+
Subject to:
50
100
150
200 250
300
350
400
X
125X + 100Y
V 25,000 (C,)
20X + 30Y
V6,000 (C2)
X, Y 20
On the graph on right, constraints C, and C, have been drawn.
Using the point drawing tool, plot all the corner points for the feasible area.
The optimum solution is:
X =
(round your response to two decimal places).
Y =
(round your response to two decimal places).
Optimal solution value 'Z' = (round your response to two decimal places).
Transcribed Image Text: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 Ib of zinc. Each model A gate requires a mixture of 125 Ib of steel and 20 lb of zinc, and each yields a profit of $75. Each model B gate requires 100 Ib of steel and 30 Ib of zinc and can be sold 400- 350- 300- for a profit of $45. 250- The aim of the objective function for Chris Beehner Company should be to > 200 V the objective value. 150- Decision variables: X= number of Model A gates to be produced Y = number of Model B gates to be produced 100- Objective function: 50- Z= X+ Subject to: 50 100 150 200 250 300 350 400 X 125X + 100Y V 25,000 (C,) 20X + 30Y V6,000 (C2) X, Y 20 On the graph on right, constraints C, and C, have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X = (round your response to two decimal places). Y = (round your response to two decimal places). Optimal solution value 'Z' = (round your response to two decimal places).
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