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First, the fact that $MRS=\frac{1}{4}$ does not tell you by itself that the consumer will only buy $x_2$. We need to go back to the 2nd Gossen's law: $\frac{Um{x_1}}{p_1}=\frac{Um{x_2}}{p_2}$ (this is from where the $MRS$ comes by the way) which is not the case since $\frac{1}{3}<\frac{4}{8}=\frac{1}{2}$. So you are right the consumer in the first place ...


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