Rocky Mountain Tire Center sells 14,000 go-cart tires per year. The ordering cost for each order is $40, and the holding cost is 50% of the purchase price of the tires per year. The purchase price is $24 per tire if fewer than 200 tires are ordered, $19 per tire

200 or more-_but fewer than 8,000-tires are ordered, and $16 per tire if 8,000 or more tires are ordered.

a) How many tires should Rocky Mountain order each time it places an order?

Rocky Mountain's optimal order quantity is] units (enter your response as a whole number).