A small copy center uses $5500-$sheet boxes of copy paper a week. Experience suggests that usage can be well approximated by a normal distribution with a mean of $5$ boxes per week and a standard deviation of $\mathrm{.}50$ box per week. $2$ weeks are required to fill an order for letterhead stationery. Ordering cost is $$5,$ and annual holding cost is $35$ cents per box.

Use Table.

$0.$ Determine the economic order quantity, assuming a $52-$week year. $($Round your answer to the nearest whole number.$)$

EOQ

boxes

b$.$ If the copy center reorders when the supply on hand is $11$ boxes, compute the risk of a stockout. $($Round $"z"$ value to $2$ decimal places and final answer to $4$ decimal places.$)$

Risk