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$?$