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.
Quantity Price
0–999 .........$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
Determine the order size for the hospital.