In: Statistics and Probability
Rocky Mountain Tire Center sells 6,000 go-cart tires per year. The ordering cost for each order is $35, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $23 per tire if fewer than 200 tires are ordered, $17 per tire if 200 or more, but fewer than 5,000, tires are ordered, and $14 per tire if 5,000 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).
b) What is the total cost of this policy? The total annual cost of ordering optimal order size equals $ ____ (round your response to the nearest whole number).