small mail$-$order company uses $250$ boxes on average for one monu molding cost rate is $10\%$ of the unit price per year, and the ordering cost is $$32$ per order. The lead time is $2$ days and the working days are $250$ days per year $(14$ or the company. The following quantity discount is available. Determine: Price per Box $0\mathrm{.}15012$ $$1\mathrm{.}5$ $$1\mathrm{.}2$ $$1\mathrm{.}0$ a$)$ The optimal ordering quantity. b$)$ Assume that the daily usage of boxes and the lead time are both normal diste and the daily usage has a standard deviation of $12$ boxes per day. The ste deviation of the lead time is $1$ day. What ROP is appropriate if the accepta of a stockout is $3$ percent? c$)$ The manager changes his order policy to fixed order interval. He plans to order every $40$ days. How much should he order if he has $200$ units on ha The acceptable risk is the same as part $2$ and do not consider the uncen the lead time.