A flat metal plate is mounted on a coordinate plane. The temperature of the plate, in degrees Fahrenheit, at point (x,y) is given by 3x2 + y²-6x+6y. Find the minimum temperature and where it occurs. Is there a maximum temperature?Determine the minimum temperature and its location. Select the correct choice below and fill in any answer boxes within your choice.A. The minimum temperature is °F at (x,y)=(Simplify your answers.)B. There is no minimum temperature.Determine the maximum temperature and its location. Select the correct choice below and fill in any answer boxes within your choice.A The maximum temperature is °F at (x,y)=(Simplify your answers.)B. There is no maximum temperature.