Given the information below, what is the most economical order quantity $($EOQ$)?$

I. Orders must be placed in multiples of one hundred $(100)$ units.

i$.$ Requirements for the year are $180,000$ units. $[$ Use $50$ weeks in a year for calculations$].$ ili. The purchase price per unit $($P$)$ is $$2.$

iv$.$ The carrying cost $($C$)$ is $50\%$ of the purchase price of the goods.

v$.$ The cost per order placed $($V$)$ is $$400.$

vi$.$ Desired safety stock $($S$)$ is $10,000$ units $($on hand$)$ initially. vii. One week is required for delivery.