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If a consumer has a utility function $u\left(x_{1}, x_{2}\right)=x_{1} x_{2}^{4},$ what fraction of her income will she spend on good $2 ?$...

Question

If a consumer has a utility function $u\left(x_{1}, x_{2}\right)=x_{1} x_{2}^{4},$ what fraction of her income will she spend on good $2 ?$

If a consumer has a utility function $u\left(x_{1}, x_{2}\right)=x_{1} x_{2}^{4},$ what fraction of her income will she spend on good $2 ?$



Answers

At what points are the functions continuous?
$$
y=\frac{1}{|x|+1}-\frac{x^{2}}{2}
$$


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