To determine whether to purchase a company's stock, an investor will use a profit-prediction formula for a company's signature product depending on that product’s current selling price. The profit formula for the company can be represented using the function P⁡(x)=−20⁢x^2+4,400⁢x−24,000 , where x is the selling price of the product. Use a graphing calculator to determine the selling price that results in the maximum profits. Round to the nearest cent if necessary.