JNU SSS 2012 Question 57: Budget constraint and consumer equilibrium

In a two-good world, there is an individual with income $m = 3$ and utility function is given by $u(x,\ y) = x^{0\cdot 5} y^{0\cdot 5}$. The price of good $x$ is 1 per unit and the price of good $y$ is also 1 per unit.

If the individual can consume either zero unit of good $x$ or at most one unit of $x$ and any non-negative amount of good $y$, then the optimum consumption bundle is