Use the following problem statement to answer questions $1-5.$

The STU company buys $200$ tapes per month. The ordering cost of the tapes is $$12\mathrm{.}00.$ Holding cost is $$3\mathrm{.}00$ per tape per year. Assume $300$ working days a year and $12$ months per year. No backordering is allowed. Stock is received $3$ working days after an order has been placed. Round to four decimal places.

$[$Note: EOQ$\frac{?}{S}=QRT((\frac{2DS}{H})).$ Number of orders placed per year $=\frac{D}{Q}.$ Average cycle inventory $=-\frac{Q}{2.}$TBO$=(EO\frac{Q}{D}).$ Total inventory cost $=($Q$/2)($H$)+($D$/$Q$)($S$).Q($Lot size$)$; $H($Holding cost per unit per year$)$; D $($Demand per year$)$; S $($Ordering cost$)$; LT $($Lead time$)]$

How many tapes should the company order at a time?

$138\mathrm{.}5641$

$94\mathrm{.}0111$

$0$

Question $2$

Tips

$5$ pts

What is the length of order cycle?

$99\mathrm{.}0000$

$0\mathrm{.}0577$

Question $3$

Tips

$5$ pts

What is the optimal number of orders placed per year?

$17\mathrm{.}3205$

$2\mathrm{.}0000$