Separately, draw the indifference curves that crosses through the bundles (1, 1) and (4,4) for each of the following preferences:

i) (1,2)={21+2,22+1}U(x1,x2)=min{2x1+x2,2x2+x1}

ii) (1,2)={21+,22+1}U(x1,x2)=max{2x1+y,2x2+x1}

iii) (1,2)=1+{1,2}U(x1,x2)=x1+min{x1,x2}

Are these preferences convex?