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(a) Show, using the income and the substitution effects, that the labor supply curve cannot have a downward sloping part if leisure is an inferior

(a) Show, using the income and the substitution effects, that the labor supply curve cannot have a downward sloping part if leisure is an inferior good. Explain briefly.

(b) Using the same arguments, answer whether the labor supply can be upward sloping when leisure is a normal good.

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