A firm is faced with the attractive situation in which it canobtain immediate delivery of an item it stocks for retailsale. The firm has therefore not bothered to order the item in any systematic way. However, recently profits have beensqueezed due to increasing competitive pressures, and thefirm has retained a management consultant to study itsinventory management. The consultant has determined thatthe various costs associated with making an order for theitem stocked are approximately $70 per order. She has alsodetermined that the costs of carrying the item in inventoryamount to approximately $27 per unit per year (primarilydirect storage costs and forgone profit on investment ininventory). Demand for the item is reasonably constantover time, and the forecast is for 16,500 units per year.When an order is placed for the item, the entire order isimmediately delivered to the firm by the supplier. The firm operates 6 days a week plus a few Sundays, or approxi-mately 320 days per year. Determine the following: a. Optimal order quantity per orderb. Total annual inventory costsc. Optimal number of orders to place per yeard. Number of operating days between orders, based on theoptimal ordering

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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A firm is faced with the attractive situation in which it can
obtain immediate delivery of an item it stocks for retail
sale. The firm has therefore not bothered to order the item

in any systematic way. However, recently profits have been
squeezed due to increasing competitive pressures, and the
firm has retained a management consultant to study its
inventory management. The consultant has determined that
the various costs associated with making an order for the
item stocked are approximately $70 per order. She has also
determined that the costs of carrying the item in inventory
amount to approximately $27 per unit per year (primarily
direct storage costs and forgone profit on investment in
inventory). Demand for the item is reasonably constant
over time, and the forecast is for 16,500 units per year.
When an order is placed for the item, the entire order is
immediately delivered to the firm by the supplier. The firm

operates 6 days a week plus a few Sundays, or approxi-
mately 320 days per year. Determine the following:

a. Optimal order quantity per order
b. Total annual inventory costs
c. Optimal number of orders to place per year
d. Number of operating days between orders, based on the
optimal ordering

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