Question $1$: $(8$ points total$)$ Please indicate whether each statement is true, false, or uncertain. If your answer is false or uncertain, please provide a brief explanation $(2$ points each$).$

$($a$)$ Assuming low$-$skill labor and high skill labor are complements, then a reduction in the wage of high$-$skill workers should lead to increased hiring of low$-$skilled workers, all else equal.

$($b$)$ In the short run with only labor and capital as inputs, the substitution effect of wages on the amount of labor demanded is positive.

$($c$)$ After a wage increase, consumption is predicted to increase on average.

$($d$)$ After a wage increase, leisure is predicted to increase on average.