she maximises subject to a constraint: C = w(1 – t)(h – 1) + T 1, C, t and T are wages, hours of time available, leisure, consumption, tax nd income. The production function for this economy is given by Y = C +G = A(h – 1)'/2 at h = 1, A = 1 and that the government has a balanced budget. the equilibrium by matching the Marginal Rate of Substitution to the Mar of Transformation and then substitute into the constraint. Also take nt that profits are non-zero for this setup.
she maximises subject to a constraint: C = w(1 – t)(h – 1) + T 1, C, t and T are wages, hours of time available, leisure, consumption, tax nd income. The production function for this economy is given by Y = C +G = A(h – 1)'/2 at h = 1, A = 1 and that the government has a balanced budget. the equilibrium by matching the Marginal Rate of Substitution to the Mar of Transformation and then substitute into the constraint. Also take nt that profits are non-zero for this setup.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Illustrate general equilibrium and the Laffer curve in the context of a repre-
sentative consumer with a utility function:
U(C,1) = In(C) + In(1)
that he or she maximises subject to a constraint:
C = w(1 – t)(h – 1) + T
where w, h, l, C, t and 7 are wages, hours of time available, leisure, consumption, tax rate,
and dividend income. The production function for this economy is given by
Y = C+G = A(h – 1)'/2
Assume that h = 1, A = 1 and that the government has a balanced budget.
(a) Find the equilibrium by matching the Marginal Rate of Substitution to the Marginal
Rate of Transformation and then substitute into the constraint.
Also take into
account that profits are non-zero for this setup.
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