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(Solution Library) Consider the problem of maximizing u(c, \ell) subject to p c+w \ell= w T+Y, where c is consumption, \ell is leisure time, T is the total

Question: Consider the problem of maximizing $u(c, \ell)$ subject to $p c+w \ell=$ $w T+Y$, where $c$ is consumption, $\ell$ is leisure time, $T$ is the total time endowment, and $Y$ is non-wage income. Prove that the labour supply function is downward-sloping only if leisure is a normal good.

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(Solution Library) Consider the problem of maximizing u(c, \ell) subject to p c+w \ell= w T+Y, where c is consumption, \ell is leisure time, T is the total

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