JNU SSS 2010 Question 23: Budget constraint and consumer equilibrium

In a two-good world, a consumer's utility function is given by the following : $U(x,\ y) = \max\{x,\ y\}$, where $x$ and $y$ are the amounts consumed of the first and second good respectively. The price of both goods are Rs 2 per unit. The consumer's income is Rs 100. His optimal consumption bundle is