Problem $2.$ A Q System

Judy uses a continuous review system $($Q system$)$ to manage inventory for Ipad at Bestbuy store. Judy collected the following numbers based on her observation:

Demand $=10$ units$/$wk $($assume $52$ weeks per year$)$

Ordering and setup cost $($S$)=$ $$45/$order

Holding cost $($H$)=$ $$12/$unit$/$year

Lead time $($L$)=3$ weeks

Standard deviation in weekly demand $=8$ units

Cycle$-$service level $=70\%$

a$.$ What is the EOQ for Ipad?

b$.$ What is the desired safety stock?

c$.$ What is the desired reorder point R$?$

d$.$ Suppose that Bestbuy$$s current policy is Q $=80$ and R $=150.$ How much will Bestbuy save in total cost if your EOQ and R$-$values are implemented?