Victor Finick Likes to Have the Same Amount of X

Essay

Victor Finick likes to have the same amount of x as he has of y.His utility function is U(x, y)= min{2x- y, 2y- x}.
a.Draw the indifference curve for Victor that passes through the bundle (0, 0)and the indifference curve that passes through (4, 4).(Hint: Each indifference curve is the intersection of two line segments.)
b.If Victor has a bundle that he likes better than (0, 0)and his consumption of both goods is doubled, is Victor better off?
c.Does Victor always prefer more of either good to less?