DSE 2008 Question 43: Budget constraint and consumer equilibrium
Suppose the economy has a single household with total labour endowment L, supplying Ls to the market at money wage W and enjoying the rest as leisure, with utility U=(C)β+(L−Ls)β, 0<β<1, where consumption C=(W/P)Ls (all wage income is spent). The supply of labour as a function of the real wage is
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Suppose the economy has a single household with total labour endowment L̅, supplying L^s to the market at money wage W and enjoying the rest as leisure, with utility U=(C)^β+(L̅-L^s)^β, 0<β<1, where consumption C=(W/P)L^s (all wage income is spent). The supply of labour as a function of the real wage is (A) L^s=(L̅(W/P)^(β/(1-β)))/(1+(W/P)^(β/(1-β))) (B) L^s=L̅/(1+(W/P)^(β/(1-β))) (C) L^s=((W/P)^β)/(L̅+(W/P)^β) (D) None of the above
Also written as: Suppose the economy has a single household with total labour endowment L_bar, supplying L^s to the market at money wage W and enjoying the rest as leisure, with utility U=(C)^(beta)+(L_bar-L^s)^(beta), 0<beta<1, where consumption C=(W/P)L^s (all wage income is spent). The supply of labour as a function of the real wage is
Budget constraint and consumer equilibrium has come up 99 times in 7 exams since 2004.
What this question tests
This question is on Labour supply and intertemporal choice, part of Budget constraint and consumer equilibrium in Microeconomics.
Treating leisure and future consumption as goods: the labour-leisure choice, saving and borrowing.
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