A local salad dressing company, Three Rivers Dressings, produces four types of salad dressings: “Blue Cheese”, “Ranch”,

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A local salad dressing company, Three Rivers Dressings, producesfour types of salad dressings: “Blue Cheese”, “Ranch”, “Italian”,and “Thousand Island”. Demands for the four types are 120, 90, 70,and 20 kg per hour, respectively. The company has one machine thatcan produce any dressing at a rate of 400 kg per hour. However, 2hours are needed to clean the machine before switching from onedressing type to another. During the cleanup time, the machinecannot produce any product. The company needs a production schedulethat (i) rotates through the four types once in one cycle, (ii)meets the required demand and (iii) minimizes the amount ofinventory held. (Here it is assumed that the production machineruns 24 hours a day, 7 days a week. The goal is to satisfy supplyand demand in one cycle.)
What is the maximum inventory level in kilograms for “Bluecheese”?