Rocky Mountain Tire Center sells 8,000 go-cart tires per year. The ordering cost for each order is $35, and the holding cost is 50%

of the purchase price of the tires per year. The purchase price is $20 per tire if fewer than 200 tires are ordered, $17 per tire if 200 or

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

a. How many tires should Rocky Mountains tire order each time it time it places an order?

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

b. What is the total cost of this policy?

The total annual cost of ordering the optimal order size is =$ ____ (round your response to the nearest whole number).