The Following Results Are Obtained When Optimizing F(x, Y)subject to the Constraint

Essay

The following results are obtained when optimizing f(x, y)subject to the constraint g(x, y)= 35.The maximum value is f(5, 7)= 39, the Lagrange multiplier $\lambda$ = 4 (when $\nabla f = \lambda \nabla g$ )and $\nabla f = 2 \vec { i } - 5 \vec { j }$ .What is g(5, 7)?