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In: Statistics and Probability

Rocky Mountain Tire Center sells 6,000 ​go-cart tires per year. The ordering cost for each order...

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).

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