A detergent manufacturer manages a plant for a major retail. The average monthly demand is 12,000 jugs of detergent. Each jug costs $(1.3) and is sold to the retailer at a wholesale price of $8. The manufacturer and the retailer use an annual holding cost of (29)%. For each order placed, the retailer incurs an ordering cost of $80. Manufacturer incurs the cost of transportation and loading which totals $2,000 per order shipped. a. To minimize its inventory-related costs, what lot size will be the best for the retailer? What is the annual inventory-related cost of the manufacturer and the retailer as a result of this policy? b. What lot size minimizes the inventory-related costs across both the manufacturer and the retailer? How much reduction in cost relative to (a) results from this policy? c. Design an all-unit quantity discount that results in the retailer ordering the quantity in (b).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section10.4: Simulation With Built-in Excel Tools
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A detergent manufacturer manages a plant for a major retail. The average monthly demand is 12,000 jugs of detergent. Each jug costs $(1.3) and is sold to the retailer at a wholesale price of $8. The manufacturer and the retailer use an annual holding cost of (29)%. For each order placed, the retailer incurs an ordering cost of $80. Manufacturer incurs the cost of transportation and loading which totals $2,000 per order shipped.

a. To minimize its inventory-related costs, what lot size will be the best for the retailer? What is the annual inventory-related cost of the manufacturer and the retailer as a result of this policy?

b. What lot size minimizes the inventory-related costs across both the manufacturer and the retailer? How much reduction in cost relative to (a) results from this policy?

c. Design an all-unit quantity discount that results in the retailer ordering the quantity in (b).

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