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A machine makes two components; call them types A and B. It takes 630 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 4 seconds, or 15 units per minute. Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. In that case, what is the capacity of the machine in component pairs per minute, where a component pair is one unit of A and one unit of B

A machine makes two components; call them types A and B. It takes 630 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 4 seconds, or 15 units per minute. Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. In that case, what is the capacity of the machine in component pairs per minute, where a component pair is one unit of A and one unit of B

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
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A machine makes two components; call them types A and B. It takes 630 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 4 seconds, or 15 units per minute.

  1. Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. In that case, what is the capacity of the machine in component pairs per minute, where a component pair is one unit of A and one unit of B?
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A machine makes two components; call them types A and B. It takes 630 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 4 seconds, or 15 units per minute.

  1. Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. In that case, what is the capacity of the machine in component pairs per minute, where a component pair is one unit of A and one unit of B?
     
  2. Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. What is the utilization of the machine?
     
  3. Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. What is the average inventory of B components?
     
  4. If the production schedule could be adjusted with the goal of minimizing inventory in the process, how many units of A should be produced before switching to component B? Assume the same number of units of B would be produced as well.
     
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