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\mathrm{.}90$ per syringe because of security

and theft. The hospital supply firm offers the following

quantity discount pricing schedule.

Quantity Price

$0999$ $$3\mathrm{.}40$

$10,00019,9993\mathrm{.}20$

$20,00029,9993\mathrm{.}00$

$30,00039,9992\mathrm{.}80$

$40,00049,9992\mathrm{.}60$

$50,0002\mathrm{.}40$

Determine the order size for the hospital.