find the max and min values of f(x,y)= 3x+y for the polygonal convex set determined by x ¡Ý 1, y ¡Ý 0, and x+ .5y ¡Ü 2

Answer 1

I don't understand your set symbols or terminology.
Compute 3x + y for each of the (x,y)points in the set and see for yourself where the maxima and minima are.