A company sells $600$ bottles of a dietary supplement per week at $$100$ per bottle. The supplement is ordered from a supplier who charges fixed cost of $$30$ per order, and $$50$ per bottle. The annual inventory holding cost is $40\%.$ Assume the company operates $50$ weeks in a year. What is the optimal number of bottles company should order $($EOQ$)?$

$$

$300$

$212$

$42$

$30$