6.3) Annie Lennox recently took over a cleaning supply store. Her predecessor always ordered carpet shampoo in quantities of 100 units. Annie is reevaluating this policy. Based on her analysis, the cost to place each order is $35 and the holding cost is $8 per shampoo bottle per year. The annual demand for this product is 2500 bottles. Should Anne change the current order policy and, if so, how much can she save

Annie should increase the order size to 148 bottles per order and she will be able to save $91.85 per year.

Explanation:

we must calculate the economic order quantity (EOQ) in order to determine the size of the order that reduces costs:

EOQ = √[(2 x S x D) / H]

EOQ = √[(2 x 35 x 2,500) / 8] = √(175,000 / 8) = √21,875 = 147.90 ≈ 148 bottles of shampoo

total cost when ordering 100 bottles = (25 orders x $35) + (100/2 x $8) = $875 + $400 = $1,275

total cost when ordering 148 bottles = (16.89 orders x $35) + (148/2 x $8) = $591.15 + $592 = $1,183.15

Annie will save $1,275 - $1,183.15 = $91.85 per year

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