The annual demand for an item is $1004$ units. Ordering cost is $$20$ per order, and inventory carrying cost is $40\%$ of unit price. The larger the order quantity is$,$ the less we pay per unit. Price is determined by the following discount schedule.

Order Quantity

Price per Unit

$($ P $)$

Holding cost Economic Order Quantity

Q$11$ to $200$ $ $6\mathrm{.}00$ $ $2\mathrm{.}40$

Q$2201-999$ $ $5\mathrm{.}75$ $ $2\mathrm{.}30$

Q$31,000$ or more $ $5\mathrm{.}20$ $ $2\mathrm{.}08$

Calculate the economic order quantity for Quantity level $2,$ given the data above.

$($Do not round. No need for dollar sign$)$

For example: $130\mathrm{.}88$