Find the extremum of f(x, y) subject to the given constraint, and state whether it is a maximum or a minimum.
f ( x, y )=2 x^2 +3y^2 - 4 xy; x+ y =27
there is a minimum value of 162 located at (x, y)=( 15,12 ).

Which statements describe the solutions to the inequality x< -20 check all that apply. there are infinite solutions. each solution is negative. each solution is positive. the solutions are both positive and negative. the solutions contain only integer values. the solutions contain rational number values.