Given the following nonlinear function with two variables x and y,

f(x, y)=105 + 60 x⁴ - 18 y - 120 x² y + 61 y²

what is the values of x and y that minimize the function f(x, y) in the range 0x10, 0y10(constraints)?

x = (round to the nearest integer)

y = (round to the nearest integer)

and the objective function value at this point is . (round to the nearest integer)

[Beware of potential local optimum. If you use GRG approach, try a few different starting points to avoid being trapped at a local minimum. Or, you can use the genetic algorithm (Evolutionary), which might take a while to solve (If that happens, solve other questions first while waiting for the result.)