A certain single station automated system will be used to produce three different components (A, B & C). The sales forecast for these components are A 26500, B 32500 and C 45000 units per year. Production rates for the three products are 12, 10 and 5 pc/hr and scrap rates are 22%, 16% and 17%. The plant will operate 45 weeks per year, 6 shifts per week and 8 hr per shift. It is anticipated that production machines of this type will be down for repair on average 5% of the time. How many machines will be required to meet the demand?

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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A certain single station automated system will be used to produce three different components (A, B & C). The sales forecast for these components are A 26500, B 32500 and C 45000 units per year. Production rates for the three products are 12, 10 and 5 pc/hr and scrap rates are 22%, 16% and 17%. The plant will operate 45 weeks per year, 6 shifts per week and 8 hr per shift. It is anticipated that production machines of this type will be down for repair on average 5% of the time. How many machines will be required to meet the demand?  

 

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