Steel City Juice is a local company that makes two kinds of juice: orange juice and apple juice. Demand for orange juice is 60 barrels/hr, while demand for apple juice is 40 barrels/hr. The company only has one machine to extract juice from raw fruit. The machine can extract orange juice at a speed of 150 barrels/hr, or apple juice at 120 barrels/hr. Switching from one type to the other requires 30 minutes cleanup time. Please provide a production schedule and an associated process flow diagram that (i) cycles repeatedly through the two kinds, (ii) meets the required demand, and (iii) minimizes the amount of inventory held. (Here it is assumed that the production machine runs 24 hours a day, 7 days a week ) and what is the maximum inventory level of orange juice

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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Steel City Juice is a local company that makes two kinds of juice: orange juice and apple juice.
Demand for orange juice is 60 barrels/hr, while demand for apple juice is 40 barrels/hr. The company only has one machine to extract juice from raw fruit. The machine can extract orange juice at a speed of 150 barrels/hr, or apple juice at 120 barrels/hr. Switching from one type to the other requires 30 minutes cleanup time.
Please provide a production schedule and an associated process flow diagram that (i) cycles repeatedly through the two kinds, (ii) meets the required demand, and (iii) minimizes the amount of inventory held. (Here it is assumed that the production machine runs 24 hours a day, 7 days a week ) and what is the maximum inventory level of orange juice?

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