A small copy center uses $3490-$sheet boxes of copy paper a week. Experience suggests that usage can be well approximated by a normal distribution with a mean of $3$ boxes per week and a standard deviation of $\mathrm{.}40$ box per week. $3$ weeks are required to fill an order for letterhead stationery: Ordering cost is $$4,$ and annual holding cost is $37$ cents per box. Use Table.

o$.$ 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 $10$ boxes, compute the risk of a stockout. $($Round $"z"$ value to $2$ decimal places and final answer to $4$ decimal places.$)$

Risk

c$.$ If a fixed interval of $9$ weeks is used for ordering instead of an ROP, how many boxes should be ordered if there are currently $24$ boxes on hand, and an acceptable stockout risk for the order cycle is $\mathrm{.}0228?($Round $"z"$ value to $2$ decimal places and final answer to the nearest whole number.$)$

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