The Harpert Store has an exclusive contract with Brussums Electronics to sell their most popular mp$4$ player. The demand of this mp$4$ player is very stable at $250$ units per day. However, the delivery lead times vary and can be specified by a normal distribution with a mean lead time of nine days and a standard deviation of four days. The supply chain manager at Brussums desires to calculate the safety stock and reorder point for a $90$ percent service level $($in$-$stock probability$).$

Do not round intermediate calculations. Round your answers to the nearest whole number.

Questions

$1.$ What is the required safety stock at a $90$ percent service level?

$2.$ What is the reorder point?