A supplier sells a popular auto part to car dealers. The weekly demand is approximately normal with the historical distribution of D~N$(63,25)$ units over a $45-$week operating year. The supplier pays $$26$ for each unit and sells each for $$41.$ In addition, they estimate that the annual holding cost is $30$ percent of the unit's cost $($to the supplier$).$ It costs approximately $$25$ to place an order $($managerial and clerical costs$).$ Assume a four$-$week lead time.Suppose we relaxed the service level requirement to only $0\mathrm{.}9192($or a corresponding Z$-$score of $1\mathrm{.}4).$ What is the safety stock required per order at this service level?