Beyonce's Cellar is a music store where the more songs you buy, the bigger the discount you receive. If you purchase $35$ or fewer songs, the cost is $$6\mathrm{.}30$ per song. If you purchase between $36$ and $49$ songs, the cost is $$5\mathrm{.}95$ per song. If you purchase $50$ or more songs, the cost is $$5\mathrm{.}70$ per song. Assuming you plan to purchase a total of $150$ songs per year, what would be your optimal order quantity? The annual holding cost is $$5\mathrm{.}00$ per song. and the ordering cost is $$2\mathrm{.}00.$

$50$ songs

$4$ songs

$15$ songs

$36$ songs

$11$ songs