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Problem:

County Hospital orders syringes from a hospital supply firm. The hospital expects to use 40,000 per year. The cost to order and have the syringes delivered is $800. The annual carrying cost is $1.90 per syringe because of security and theft. The hospital supply firm offers the following quantity discount pricing schedule.

Qty Price
0-9999 $       3.40
10,000-19,999 $       3.20
20,000-29,999 $       3.00
30,000-39,999 $       2.80
40,000-49,999 $       2.60
50,000+ $       2.40

Required:

Question 1) What is best order size for syringes?

Solve the problem and show all work.

Operation Management, Management Studies

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