As an inventory manager, you must decide on the order quantity for an item. Its annual demand is $1,300$ units. Ordering costs are $$55$ each time an order is placed, and the holding cost is $32$ percent of the per$-$unit price. Your supplier provided the following price schedule.

Quantity

$1-199$

$200-499$

$500$ or more

Price per Unit

$$10\mathrm{.}27$

$ $10\mathrm{.}03$

$ $9\mathrm{.}75$

What is the optimal order quantity policy? $($round to the nearest integer$)$

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As an inventory manager, you must decide on the order quantity for an item. Its annual demand is $1,300$ units. Ordering costs are $$55$ each time an order is placed, and the holding cost is $32$ percent of the per$-$unit price. Your supplier provided the following price schedule.

Quantity

$1-199$

$200-499$

$500$ or more

Price per Unit

$$10\mathrm{.}27$

$ $10\mathrm{.}03$

$ $9\mathrm{.}75$

What is the total cost of the optimal order quantity policy? $($round to $2$ decimal places$)$