Question $10,$ Problem $12\mathrm{.}17$

HW Score: $56\mathrm{.}52\%,13$ of $23$ points

Part $3$ of $4$

Points: $0$ of $4$

M$.$ Cotteleer Electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. components has an annual demand of $245$ units, and this is constant throughout the year. Carrying cost is estimated to be $$0\mathrm{.}75$ per unit per year, and $t$ ordering $($setup$)$ cost is $$19$ per order.

a$)$ To minimize cost, how many units should be ordered each time an order is placed? $111$ units $($round your response to two decimal places$).$

b$)$ How many orders per year are needed with the optimal policy? $2\mathrm{.}20$ orders $($round your response to two decimal places$).$

c$)$ What is the average inventory if costs are minimized? units $($round your response to two decimal places$).$