Steel City Juice is a local company that makes two kinds of juice: orange juice and apple juice. Demand for orange juice is 25 barrels/hr, while demand for apple juice is 15 barrels/hr. The company only has one machine to extract juice from raw fruit. The machine can extract orange juice at a speed of 60 barrels/hr, or apple juice at 45 barrels/hr. Switching from one type to the other requires 60 minutes cleanup time a) Please provide a production schedule 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 )
b) What is the maximum inventory level of apple juice?