A jeweler purchases silver for use in its products. The firm uses $200$ grams of silver per week and.purchases silver for $$3$ per gram from a supplier. The cost to hold one gram of silver in inventory for one year is $$0\mathrm{.}6.$ Each time the firm orders silver from the supplier, the firm must pay an order processing charge of $$10.$

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

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

Optimal order quantity