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Community Hosptial orders latex sanitary gloves from a hospital supply firm. The hospital expects to use 40,000 pairs of gloves per year. The cost to

Community Hosptial orders latex sanitary gloves from a hospital supply firm. The hospital expects to use 40,000 pairs of gloves per year. The cost to order and to have the gloves delivered is $180. The annual carrying cost is 55% of price per pair of gloves. The hospital supply firm offers the following quantity discount pricing schedule: Determine the optimal order order size and total annual inventory cost for the hospital.

Quantity Price Carrying Cost
0-9,999 $0.34
10,000-19,999 $0.32
20,000-29,999 $0.30
30,000-39,999 $0.28
40,000-49,999 $0.26
50,000+ $0.24

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