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 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 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 table. Work Center W X Y Z A 6 9 4 10 Processing Time (min/unit) B 1 10 3 0 C 3 4 12 7 Using the traditional method, what is the optimal product mix (consider variable costs only-overhead is not included in this profit calculation)? D 12 8 9 11

Practical Management Science
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Author:WINSTON, Wayne L.
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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
A
6
9
4
10
Processing Time (min/unit)
B
C
1
3
10
3
0
4
12
7
Using the traditional method, what is the optimal product mix (consider variable costs only-overhead is not included in this profit calculation)?
OA. 80A, 80B, 60C, 80D
OB. 71 A, 80B, 80C, 80 D
OC. 80A, 72B, 80C, 80D
O D. 80A, 80B, 80C, 70D
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 A 6 9 4 10 Processing Time (min/unit) B C 1 3 10 3 0 4 12 7 Using the traditional method, what is the optimal product mix (consider variable costs only-overhead is not included in this profit calculation)? OA. 80A, 80B, 60C, 80D OB. 71 A, 80B, 80C, 80 D OC. 80A, 72B, 80C, 80D O D. 80A, 80B, 80C, 70D D 12 8 9 11
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