Given this information:

Expected demand during lead time $=300$ units

Standard deviation of lead time demand $=30$ units

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

a$.$ The ROP that will provide a risk of stockout of $1$ percent during lead time.

b$.$ The safety stock needed to attain a $1$ percent risk of stockout during lead time.

c$.$ Would a stockout risk of $2$ percent require more or less safety stock than a $1$ percent risk?

Explain. Would the ROP be larger, smaller, or unaffected if the acceptable risk were $2$ percent

instead of $1$ percent? Explain.