Given this information:

Average weekly demand $=100$ units.

Standard deviation $=10$ units.

Lead time $=6$ weeks.

Acceptable stockout risk $=2\mathrm{.}5\%$

Ordering cost $=$$$30$

Annual Holding cost $=20\%$

Unit cost $($purchase price$)=$$$20$

The company operates $=50$ weeks a year.

Weekly usage rates are distributed normally.

Determine each of the following, assuming that lead time demand is distributed normally:

a$.$ Order quantity $($EOQ$).$ Note: holding cost $=$ annual holding cost $\%*$ purchase price.

b$.$ The safety stock needed to attain a $2\mathrm{.}5$ percent risk of stockout during lead time.

c$.$ The reorder point $($ROP$)$ that will provide a risk of stockout of $2\mathrm{.}5$ percent during lead

time.