Sarah’s Organic Soap Company makes four kinds of organic liquidsoap- “regular”, “lavender”, “citrus” and “tea tree”. Demand forthe four scents are 150, 120, 75 and 50 kgs per hour respectively.Sarah’s production process can produce any soap at the rate of 450kgs per hour but 1.5 hours are needed to switch between scents.During those switchover times, the process doesn’t produce anysoap. Sarah wants to choose a production schedule that (i) cyclesrepeatedly through the four scents, (ii) meets the required demandand (iii) minimizes the amount of inventory held.
Suppose Sarah would like to operate at exactly ¾ of processcapacity. How many kilograms of
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