explain the economic value of the folloing:-
MU_X  by P_X is equal to MU_M when ''X'' happen to be a domestic fuel LPG and P_X is lowered by the way os subsidy by the government.

When price of X  (LPG)  falls  due to subsidy granted by the government, then the equilibrium of consumer gets disturbed,That is,

$\frac{M{U}_x}{P_x} >M{U}_m$

Now, to reattain the equilibrium, consumer will increase the consumption of LPG, which in turn, would result in a fall in marginal utility of LPG. So, MUx will fall
and equlibrium equality will get reestablished ,that is,$\frac{M{U}_x}{P_x}=M{U}_m$

Hence, Consumer's equilibrium gets shifted to a higher level of satisfaction due to subsidies introduced by the government.