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Suppose that a room has many cotton spinning looms and two operatórs. they run automatically. One operator can set up one loom independently. The setup time is exponentially distributed, with mean 15 minutes. The looms are breakdown on an average of one every 10 minutes throughout the day with an exponential distribution. Suppose that loom operators are paid $10 an hour, and looms not running incur a cost of $40 an hour. If the probability that all looms are running (no loom needs to be set up) is 0.15, (1) What is the probability that both operators are busy? (2) Estimate the long-run average cost per hour of the system.

Suppose that a room has many cotton spinning looms and two operatórs. they run automatically. One operator can set up one loom independently. The setup time is exponentially distributed, with mean 15 minutes. The looms are breakdown on an average of one every 10 minutes throughout the day with an exponential distribution. Suppose that loom operators are paid $10 an hour, and looms not running incur a cost of $40 an hour. If the probability that all looms are running (no loom needs to be set up) is 0.15, (1) What is the probability that both operators are busy? (2) Estimate the long-run average cost per hour of the system.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Suppose that a room has many cotton spinning looms and two operators. Once the looms set up, they run automatically. One operator can set up one loom independently. The setup time is exponentially distributed, with mean 15 minutes. The looms are breakdown on an average of one every 10 minutes throughout the day with an exponential distribution. Suppose that loom operators are paid $10 an hour, and looms not running incur a cost of $40 an hour. If the probability that all looms are running (no loom needs to be set up) is 0.15, (1) What is the probability that both operators are busy? (2) Estimate the long-run average cost per hour of the system.
Transcribed Image Text:Suppose that a room has many cotton spinning looms and two operators. Once the looms set up, they run automatically. One operator can set up one loom independently. The setup time is exponentially distributed, with mean 15 minutes. The looms are breakdown on an average of one every 10 minutes throughout the day with an exponential distribution. Suppose that loom operators are paid $10 an hour, and looms not running incur a cost of $40 an hour. If the probability that all looms are running (no loom needs to be set up) is 0.15, (1) What is the probability that both operators are busy? (2) Estimate the long-run average cost per hour of the system.
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