Hannah is selling homemade hats. So far, she has been selling the hats at $10\$10 per hat and typically sells 100100 hats a week. \\ Hannah is a smart entrepreneur and she knows that if she increases the price, less people will buy her hats. She finds that for every $1\$1 she raises the price, 55 fewer hats will be bought. \\ Create a profit function for this scenario and find which price she should sell her hats for in order to maximize the profit.

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