A company makes four products that have the following characteristics: Product A sells for $45 but needs $12 of materials and $11 of labor to produce; Product B sells for $80 but needs $25 of materials and $15 of labor to produce; Product C sells for $75 but needs $30 of materials and $15 of labor to produce; Product D sells for $120 but needs $75 of materials and $10 of labor to produce. The processing requirements for each product on each of the four machines are shown in the table. Processing Time (min/unit) Work Center A B C D W 12 2 3 12 X 9 7 4 00 8 Y Z st 4 3 12 9 7 10 сл 10 Work centers W, X, Y, and Z are available for 40 hours per week and have no setup time when switching between products. Market demand for each product is 80 units per week. In the questions that follow, the traditional method refers to maximizing the contribution margin per unit for each product, and the bottleneck method refers to maximizing the contribution margin per minute at the bottleneck for each product.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
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A company makes four products that have the following characteristics: Product A
sells for $45 but needs $12 of materials and $11 of labor to produce; Product B sells
for $80 but needs $25 of materials and $15 of labor to produce; Product C sells for
$75 but needs $30 of materials and $15 of labor to produce; Product D sells for
$120 but needs $75 of materials and $10 of labor to produce. The processing
requirements for each product on each of the four machines are shown in the table.
Processing Time (min/unit)
Work Center
A
B
C
D
W
12
2
3
12
X
9
7
4
00
8
Y
Z
st
4
3
12
9
7
10
сл
10
Work centers W, X, Y, and Z are available for 40 hours per week and have no setup
time when switching between products. Market demand for each product is 80 units
per week. In the questions that follow, the traditional method refers to maximizing
the contribution margin per unit for each product, and the bottleneck method refers
to maximizing the contribution margin per minute at the bottleneck for each product.
Transcribed Image Text:A company makes four products that have the following characteristics: Product A sells for $45 but needs $12 of materials and $11 of labor to produce; Product B sells for $80 but needs $25 of materials and $15 of labor to produce; Product C sells for $75 but needs $30 of materials and $15 of labor to produce; Product D sells for $120 but needs $75 of materials and $10 of labor to produce. The processing requirements for each product on each of the four machines are shown in the table. Processing Time (min/unit) Work Center A B C D W 12 2 3 12 X 9 7 4 00 8 Y Z st 4 3 12 9 7 10 сл 10 Work centers W, X, Y, and Z are available for 40 hours per week and have no setup time when switching between products. Market demand for each product is 80 units per week. In the questions that follow, the traditional method refers to maximizing the contribution margin per unit for each product, and the bottleneck method refers to maximizing the contribution margin per minute at the bottleneck for each product.
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