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 $270$ units, and this is constant throughout the year. Carrying cost is estimated to be $$1\mathrm{.}00$ per unit per year, and the

ordering $($setup$)$ cost is $$19$ per order.

a$)$ To minimize cost, how many units should be ordered each time an order is placed? $101\mathrm{.}29$ units $($round your response to two decimal places$).$

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

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