$5*2.$ Schaan Healthcare Products is a distributor of medical$/$surgical productsin Saskatchewan. Schaan has a warehouse in Saskatoon that carries$$thousands of items, one of which is item #$345-5870,$ Micro$-$Touch$$Surgical Glove, size $7.$ The demand for this item $($in cases$)$ during a$$September to November period was $25,57,$ and $50,$ respectively.$$Schaan$$s inventory manager uses a three$-$month moving average to$$forecast next month$$s demand for the items. The three$-$month moving$$average forecast for December$$s demand for size $7$ gloves is $44$ cases.$$Suppose that he uses the EOQ model to replenish this item. The surgical$$gloves are purchased from Ansell Limited in cases of $200$ units at a cost$$of $$120$ per case. Use the three$-$month moving average forecast for$$December$,$ ordering cost of $$15$ per order, inventory holding cost rate of$15$ percent per year, and purchase lead time of two days. LO$3$LO$5$

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a$.$ Calculate the EOQ for this item $($rounded to a whole number$).$

b$.$ Calculate the total annual holding and ordering cost if order quantity

is $30$ cases.

c$.$ Using lead time service level of $96$ percent and standard deviation of

monthly demand of $16\mathrm{.}82$ cases, calculate the ROP $($rounded to a

whole number$).$

d$.$ Suppose Schaan uses the fixed$-$interval model for replenishing this

item. Calculate the order quantity for this item $($rounded to a whole

number$)$ if it is ordered every two weeks, there is no on hand

inventory at reorder time, and the desired service level is $94$ percent