Super Fun Industries manufactures four top-selling toys code named A-148, B-356, B-457, and C-843. The following table shows how long it takes to process each toy through each required station. Note that all times are in minutes. Super Fun’s manufacturing plant is open 16 hours a day, 5 days a week, and 8 hours on Saturday.   A-148 B-356 B-457 C-843 Processing Time Station 1 6 min 5 min 0 min 8 min Processing Time Station 2 4 min 4 min 5 min 2 min Processing Time Station 3 5 min 7 min 4 min 2 min Processing Time Station 4 3 min 0 min 10 min 1 min a. If only toy A-148 is produced during a specific week, how many units could be produced? b. If weekly demand for the four products are A-148 = 200 units, B-356 = 250 units, B-457 = 250 units, and C-843 = 300 units, which station is the bottleneck, and is it capable of producing all the toys demanded?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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Super Fun Industries manufactures four top-selling toys code named A-148, B-356, B-457, and C-843. The following table shows how long it takes to process each toy through each required station. Note that all times are in minutes. Super Fun’s manufacturing plant is open 16 hours a day, 5 days a week, and 8 hours on Saturday.

  A-148 B-356 B-457 C-843
Processing Time Station 1 6 min 5 min 0 min 8 min
Processing Time Station 2 4 min 4 min 5 min 2 min
Processing Time Station 3 5 min 7 min 4 min 2 min
Processing Time Station 4 3 min 0 min 10 min 1 min

a. If only toy A-148 is produced during a specific week, how many units could be produced?
b. If weekly demand for the four products are A-148 = 200 units, B-356 = 250 units, B-457 = 250 units, and C-843 = 300 units, which station is the bottleneck, and is it capable of producing all the toys demanded?

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ISBN:
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