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Mikes' preferences for consumption and leisure may be represented by the Utility function: u(C, L) = ( C-200)*(L-80) . His marginal utilities of leisure and consumption are (C-200) and ( L-80) respectively. There are 168 hours in the week available for both work an leisure. He earns a nominal wage of $20 and the price of consumption goods is $4. He also receives a nominal amount of $1280 of non-labour income as a transfer. Note: First, make it all real!
a) Graph Mikes' budget line and label all.
b) If Mike works 40 hours and he is on the budget line, what is his MRS?
c) What is his optimal amount of consumption, leisure and work?
d) What is his nominal reservation wage?
Prove that the utility approach and the indifference curve approach yield the same consumer equilibrium.
similarities
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