Rocky Mountain Tire Center sells $12000$go$-$cart tires per year. The ordering cost for each order is $$$$35$ and the holding cost is $30\%$ of the purchase price of the tires per year. The purchase price is $$$$18$ per tire if fewer than $200$ tires are$$ ordered, $$$$17$ per tire if $200$ or more but fewer than $5000$ tires are$$ ordered, and $$$$14$ per tire if $5000$

or more tires are ordered.