. Sarah’s Organic Soap Company makes four kinds of organic liquid soap: “regular,”“lavender,” “citrus,” and “tea tree.” Demands for the four scents are 150, 120, 75, and50 kgs per hour, respectively. Sarah’s production process can produce any soap at therate of 450 kgs per hour, but 1.5 hours are needed to switch between scents. Duringthose switchover times, the process doesn’t produce any soap. Sarah wants to choosea production schedule that (i) cycles repeatedly through the four scents, (ii) meets therequired demand, and (iii) minimizes the amount of inventory held.How many kgs of “regular” should Sarah produce before switching over to another scent?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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. Sarah’s Organic Soap Company makes four kinds of organic liquid soap: “regular,”
“lavender,” “citrus,” and “tea tree.” Demands for the four scents are 150, 120, 75, and
50 kgs per hour, respectively. Sarah’s production process can produce any soap at the
rate of 450 kgs per hour, but 1.5 hours are needed to switch between scents. During
those switchover times, the process doesn’t produce any soap. Sarah wants to choose
a production schedule that (i) cycles repeatedly through the four scents, (ii) meets the
required demand, and (iii) minimizes the amount of inventory held.
How many kgs of “regular” should Sarah produce before switching over to another scent?

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