The University Knitting Society is making maroon and gold beanies to sell at home football games. When they sell them for 12 dollars each, they average 100 sales per game. When they increase the price by 2 dollars, the number of sales decreases by 10 beanies. Assuming that the demand function is linear and that the material for each beanie costs 6 dollars, find the price the Society should charge to maximize their profits.
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