The Daily Profit P In Dollars Of A Company Making Tables Is Described By The Fun

The daily profit P in dollars of a company making tables is described by the function P(x) = −6x(squared) + 312x − 3570​, where x is the number of tables that are manufactured in 1 day. The maximum profit of the company occurs at the vertex of the parabola. How many tables should be made per day in order to obtain the maximum profit for the​ company? What is the maximum​ profit?