Company A purchases cases of fertilizer for its lawn$-$care business from a supplier who charges Company A $$30$ per order and $$50$ per case. Each case consists of five bags of fertilizer and the order size must be an integer multiple of five bags. Company A needs $2000$ bags of fertilizer a year. Company A$\text{'}$s annual holding costs are $30\%.$ What would be the order quantity that minimizes annual ordering and holding costs?

$40$ cases

$30$ cases

$20$ cases

$50$ cases