work centers W, X, Y, and 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. A company makes four products that have the following characteristics: Product A sells for $50 but needs $10 of materials and $15 of labor to produce; Product B sells for $75 but needs $30 of materials and $15 of labor to produce; Product C sells for $100 but needs $50 of materials and $30 of labor to produce; Product D sells for $150 but needs $75 of materials and $40 of labor to produce. The processing requirements for each product on each of the four machines are shown in the table. Work Center W X Y Z Using the traditional method, which product should be scheduled first? O A. Product B OB. Product C OC. Product D O D. Product A A 6 9 4 10 Processing Time (min/unit) B C 1 3 10 3 0 4 12 7 D 12 8 9 11

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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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.
A company makes four products that have the following characteristics: Product A sells for $50 but needs $10 of materials and $15 of labor to produce; Product B sells
for $75 but needs $30 of materials and $15 of labor to produce; Product C sells for $100 but needs $50 of materials and $30 of labor to produce; Product D sells for
$150 but needs $75 of materials and $40 of labor to produce. The processing requirements for each product on each of the four machines are shown in the table.
Work Center
W
X
Y
Z
Using the traditional method, which product should be scheduled first?
O A. Product B
B. Product C
C. Product D
OD. Product A
A
6
9
4
10
Processing Time (min/unit)
B
C
1
3
10
4
3
12
0
7
D
12
8
9
11
Transcribed Image Text: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. A company makes four products that have the following characteristics: Product A sells for $50 but needs $10 of materials and $15 of labor to produce; Product B sells for $75 but needs $30 of materials and $15 of labor to produce; Product C sells for $100 but needs $50 of materials and $30 of labor to produce; Product D sells for $150 but needs $75 of materials and $40 of labor to produce. The processing requirements for each product on each of the four machines are shown in the table. Work Center W X Y Z Using the traditional method, which product should be scheduled first? O A. Product B B. Product C C. Product D OD. Product A A 6 9 4 10 Processing Time (min/unit) B C 1 3 10 4 3 12 0 7 D 12 8 9 11
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ISBN:
9781337406659
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Cengage,