max{x1,x2} where P1not=p2
Here is my suggestion:

I would say the optimal level of consumption is $\frac{m}{p_1}$ if $p_1 &lt; p_2$ and $\frac{m}{p_2}$ if $p_2 &lt; p_1$. So the individual consumes only whichever good is cheaper. Since utility is just the maximum of whichever two amounts you could consume, you would maximize that by consuming the highest amount possible.
Good 1 is a normal good if it is cheaper than Good 2, then the amount consumed rises with income.
I would say these goods are perfect substitutes, since you consume as much of the cheaper good as possible with no further constraints.
EDIT: This wrong, they are not perfect substitutes, since they are not substitutable - if you consume only Good 1, you wouldn't want to exchange any for Good 2, except if you then had more of Good 2 than of Good 1.