# Special case for wealth allocation with quasilinear utility functions

Building on this question, regarding the answer from Bkay:

Is it a general statement that when $$m < \frac{p_y^2}{4 p_x}$$, all income will be allocated to $$x_M$$? What about the case when the marginal utility of $$x$$ is smaller than the marginal utility of $$y$$ (which is 1 in this case)? $$x>0.25$$ would satisfy this. Would it mean that the $$x$$ will be consumed up to 0.25 unit, before all other income are allocated to $$y$$?