Total profit p is the difference between total revenue r and total cost c given the following total revenue and total cost

tal-revenue and​ total-cost functions, find the total​ profit, the maximum value of the total​ profit, and the value of x at which it occurs. Upper R left parenthesis x right parenthesis equals 1300 x minus x squared​, Upper C left parenthesis x right parenthesis equals 3000 plus 30 x The total​ profit, ​P(x)equals negative x squared plus 1270 x minus 3000. ​(Simplify your answer. Do not​ factor.)