Belk procures curtains from its supplier for a cost of $$24$ per unit. The lead time to receive the order

is $10$ days and Belk incurs a fixed order cost of $$1,482$ each time it places an order regardless of the

number of units ordered. Demand for the curtains at the distribution center $($DC$)$ is constant at $113$

units per week. The holding cost per unit per year at the DC is $19\%$ of the per unit purchase cost.

Belk currently orders $780$ units in each order. Assume Belk operates $7$ days per week, $52$ weeks per

year, and $364$ days per year.

Calculate the optimal order quantity for Belk.

Carry your calculations to at least $3$ decimal places.

Enter your answer rounded to one decimal place $($nearest tenth$).$