A food processor purchases corn for use in its products. The firm uses $700$ pounds of corn per week and purchases corn for $$0\mathrm{.}45$ per pound from a supplier. The cost to hold one pound of corn in inventory for one year is $$0\mathrm{.}09.$ Each time the firm orders corn from the supplier, the firm must pay a $$48$ order processing charge.

Assume there are $52$ weeks in a year and round your answer to the nearest integer value.

What is the optimal order quantity $($in pounds$)?$

pounds