Question

find the minimum value of f(x,y)=y-x+1 for the polygonal convex set determined by this system of inequalities.
x>=0 y>=0 2x+y<=4

Answer 1

yea now its correct :)

Answer 2

so u have this-


we got those points (2,0) and (0,4) like this-

we have the equation 2x+y<=4
so 1st lets graph 2x+y=4
we jst need the intercepts so to find the x intercept put y=0 and we get x intercept=2
to find y intercept put x=0 we get y intercept=4

so we have a triangle which has vertices -(0,0) , (2,0) , (0,4)
and the max value of function occurs at the vertices
so try them nd u get min value =-1 on putting (2,0)

Answer 3

(2,0) is the minimum?