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Question - Sarah's Organic Soap Company makes four kinds of organic liquid soap-"regular", "lavender", "citrus" and "tea tree". Demand for the four types of soap are 150, 120, 75 and 50 kgs per hour respectively.
Sarah's production process can produce any soap at the same rate of 450 kgs per hour but 1.5 hours are needed to switch between scents. During the switchover times, the process doesn't produce any soap. Sarah wants to choose a production schedule that (i) cycles repeatedly through the four scents, and (ii) meets the required demand, and (iii) minimizes the amount of inventory held.
Required - How many kgs of regular soup should Sarah produce before switching over to another scent?
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