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?

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? $50\mathrm{.}65$ units $($round your response to two decimal places$).$

d$)$ Suppose that the ordering $($setup$)$ cost is not $$19,$ and Cotteleer has been ordering $125$ units each time an order is placed. For this order policy $($of $Q=125)$ to

be optimal, the ordering $($setup$)$ cost would have to be $ $($round your response to two decimal places$).$