ANSWER TO THE TIRE PROBLEM

THE ANSWER IS 9 TIRES. If you rotate 9 tires you can avoid buying 12 tires.

Miles
tire 1 300           300 300 300
tire 2 300 300       300 300  
tire 3 300 300 300           300
tire 3 300 300 300 300          
tire 4   300 300 300 300        
tire 5     300 300 300 300      
tire 6       300 300 300     300
tire 7         300 300 300 300  
tire 8           300 300 300 300