Sarah’s Organic Soap Company makes organic liquid soap. One of the raw materials for her soaps is organic palm oil. She needs 1000 kg of palm oil per day, on average. The supplier charges a $60 delivery fee per order (which is independent of the order size) and $4.75 per kg. Sarah’s annual holding cost is 25 percent. Assume she operates and sells five days per week, 52 weeks per year. a. If Sarah wants to minimize her annual ordering and inventory holding costs, how much palm oil should she purchase with each order (in kg)? b. If Sarah orders 4000 kg with each order, what would be the annual sum of the ordering and holding costs? c. If Sarah orders 8000 kg with each order, what would be the sum of the ordering and holding costs per kg sold? d. Sarah’s supplier is willing to sell her palm oil at a 5 percent discount if she purchases 15,000 kg at a time. If she were to purchase 15,000 kg per order, what would be her annual sum of the ordering and holding costs?

Practical Management Science
6th Edition
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 organic liquid soap. One of the raw materials for
her soaps is organic palm oil. She needs 1000 kg of palm oil per day, on average. The
supplier charges a $60 delivery fee per order (which is independent of the order size)
and $4.75 per kg. Sarah’s annual holding cost is 25 percent. Assume she operates and
sells five days per week, 52 weeks per year.
a. If Sarah wants to minimize her annual ordering and inventory holding costs, how
much palm oil should she purchase with each order (in kg)?
b. If Sarah orders 4000 kg with each order, what would be the annual sum of the ordering
and holding costs? c. If Sarah orders 8000 kg with each order, what would be the sum of the ordering and
holding costs per kg sold?
d. Sarah’s supplier is willing to sell her palm oil at a 5 percent discount if she purchases
15,000 kg at a time. If she were to purchase 15,000 kg per order, what would be her
annual sum of the ordering and holding costs?

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