M$.$Cotteleer Electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. One of the components has an annual demand of $235$units$,$and this is constant throughout the year. Carrying cost is estimated to be $$$ $\mathrm{.}5$per unit per$$year$,$ and the ordering$($setup$)$cost is $$$ $21$per order.

Part $2$

$$a$)$ To minimize$$ cost$,$ how many units should be ordered each time an order is$$ placed?

$$b$)$ How many orders per year are needed with the optimal$$ policy?