Sarah's Computer City sells $5,000$ boxes of CD$-$RW compact discs per year. She determined that she pays $$50$ to process an order for discs. Her purchase price is $$6$ for each box of discs and she has determined that storage costs for one year are $25$ percent of the purchase price. Sarah's vendor said that if she purchased $1,000$ boxes at a time, she would receive a $10$ percent discount. The total cost formula is What is Sarah's annual ordering cost if she takes advantage of the discount?

Question $45$ options:

$$250$

$$578$

$$433$

$$675$