Consider consumption bundles (xi , yi) of two goods, x and y,

where i belongs to {A,B, C,D, ...}.

John has the following preferences:

A is weakly preferred to B if and only if xA+yA is bigger or equal to xB + yB for all A, B

bundle A (xA,yA), BUNDLE B(xB, yB)

Derive the simplest possible utility function that represents these preferences. Show some indifference curves (at least three) in a graph with their utility numbers..