Problem $12-24($Static$)$

One item a computer store sells is supplied by a vendor who handles only that Item. Demand for that item recently changed, and the store manager must determine when to replenish it$.$ The manager wants a probability of at least $96$ percent of not having a stockout during lead time. The manager expects demand to average a dozen units a day and have a standard deviation of two units a day. Lead tIme is varlable, averaging four days with a standard deviation of one day. Assume normality and that seasonality is not a factor. Use Table.

a$.$ When should the manager reorder to achleve the desired probability? $($Round your Intermedlate calculations and final answer to $2$ decimal places.$)$

ROP

b$.$ Which of the following assumptions would be violated if seasonality were present?

Constant lead time

Demand and lead time Independence

Constant demand