An automated car wash serves customers with the following serial process: pre-treat,wash, rinse, wax, hand dry. Each of these steps is performed by a dedicated machineexcept for the hand-dry step, which is performed manually on each car by one of threeworkers. The steps of the process have the following processing times:• Pre-treat: 1 minute per car• Wash: 5 minutes per car• Rinse: 2 minutes per car• Wax: 3 minutes per car• Hand dry: 8 minutes per cara. If the car wash has a demand of 15 cars per hour, what is the flow rate of the process?b. If the car wash has a demand of 15 cars per hour, what is the utilization of the machinethat performs the wax process?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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An automated car wash serves customers with the following serial process: pre-treat,
wash, rinse, wax, hand dry. Each of these steps is performed by a dedicated machine
except for the hand-dry step, which is performed manually on each car by one of three
workers. The steps of the process have the following processing times:
• Pre-treat: 1 minute per car
• Wash: 5 minutes per car
• Rinse: 2 minutes per car
• Wax: 3 minutes per car
• Hand dry: 8 minutes per car
a. If the car wash has a demand of 15 cars per hour, what is the flow rate of the process?
b. If the car wash has a demand of 15 cars per hour, what is the utilization of the machine
that performs the wax process?

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