A company makes four products that have the following characteristics: Product A sells for $75 but needs $40 of materials to produce; Product B sells for $90 but needs $65 of materials to produce; Product C sells for $110 but needs $80 of materials to produce; Product D sells for $135 but needs $105 of materials to produce. The processing requirements for each product on each of the four machines are shown in the table.   Work centers W, X, Y, and Z are available for 5 days per week, 1 shift per day (8 hrs.) and have no setup time when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds 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. Each worker is paid $15 per hour and is paid for an entire week, regardless of how much the worker is used.   Using the bottleneck method, answer the following questions: - In what sequence should products be scheduled for production?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 49P
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A company makes four products that have the following characteristics:
Product A sells for $75 but needs $40 of materials to produce; Product B sells for $90 but needs $65 of
materials to produce; Product C sells for $110 but needs $80 of materials to produce; Product D sells for
$135 but needs $105 of materials to produce. The processing requirements for each product on each of
the four machines are shown in the table.

 

Work centers W, X, Y, and Z are available for 5 days per week, 1 shift per day (8 hrs.) and have no setup
time when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds 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. Each worker is paid $15 per hour and is paid for an entire week, regardless
of how much the worker is used.

 

Using the bottleneck method, answer the following questions:

- In what sequence should products be scheduled for production?

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