Westgate operates a coffee store at its lobby level. Daily use $($demand$)$ of

ground coffee at the store has an average of $300$ pounds $($lbs$)$ with a standard deviation of $100$ lbs

$($assume normal distribution$).$ Store manager orders $1000$ lbs of ground coffee, whenever $1600$ lbs

of coffee left. Order replenishment lead time is $4$ days.

$($a$)(4$ pts$)$ What is the amount of safety stock with the current inventory policy?

$($b$)(4$ pts$)$ How many pounds of ground coffee are there in the store on average?

$($c$)(8$ pts$)$ What service level does the store achieve with the current policy?

$($d$)(8$ pts$)$ What fill rate does the store achieve with the current policy?

$($e$)(8$ pts$)$ If the store would like to have a $97\mathrm{.}5\%$ service level, what should the reorder point be$?$

$($f$)(13$ pts$)$ If the store would like to have a $97\mathrm{.}5\%$ fill rate, what should the reorder point be$?$