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Appliance for Less is a local appliance store. It costs this store $25.35 per un

ID: 2651823 • Letter: A

Question

Appliance for Less is a local appliance store. It costs this store $25.35 per unit annually for storage, insurance, etc., to hold microwave in their inventory. Sales this year are anticipated to be 261 units. Each order costs $81. The company is using Economic Order Quantity model in placing the orders.

It takes approximately 4 days to receive an order after it has been placed. If the store insists on a 3 days safety stock (assume 365-days a year), what should the inventory level be when a new order is placed?

Explanation / Answer

A = Annual demand = 261 units

O = Ordering cost per order = $81

C = Carrying cost per unit = $25.35

EOQ = (2AO/C)^1/2

         = (2×261×81/25.35)^1/2

         = 41 units                             

Safety stock = (A / 365 days) × Safety days = (261/365) × 3 = 2

Inventory level at the time of a new order is placed = Average units × Lead time + Safety stock

                                                                             = (261/365) × 4 + 2

                                                                             = 5 units (Answer)

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