A cooking company has compiled sales data. They have found that the Profit formula P = Total Revenue - Production Costs can help them identify the selling price, s, that produces the maximum profit for a given spatula that they advertise.

If the company's data suggest that the Profit formula for the spatula is $\displaystyle{P}=-{2}{{s}}^{{2}}+{50}{s}-{10}\usepackage{cmbright}\Huge\$ , what selling price should they set to maximize profit?