$*$PLEASE SHOW THE ALGEBRA USED TO FIND THE E$($Z$)$ VALUE. $3.$ Consider the following information on an inventory management system: Item Cost: $$10$ Order Cost: $$250$ Annual Holding Cost: $33\%$ of item cost Annual Demand: $25,750$ Average Demand: $515$ per week Std$.$ Dev. of Demand: $125$ per week Leadtime: $6$ weeksc$)$ What is the ammuat service toret $($fl Tutof the policy tu purt? If the target is to have a $95\%$ annual service level $($fill$-$rate$)$ instead, what should be the ROP?