The consumer choice is not restricted to the choice of consumption goods. In fact, it can apply to all our decisions that involve trade-offs. Suppose Mary has a wage per hour of 10 euros. With her earned income she consumes. That is, C = wH per day. She also decides how many hours to work of take leisure time each day. H = 24 ́- N, where H is work and N is leisure. Her utility is given by U(C,N) = ((C^1-a) / 1-a) +B logN (a) Solve for the optimal decision of labor/leisure. Plot the budget constraint and the indif- ferent curve. What is the labor supply function?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The consumer choice is not restricted to the choice of consumption goods. In fact, it can apply
to all our decisions that involve trade-offs. Suppose Mary has a wage per hour of 10 euros.
With her earned income she consumes. That is, C = wH per day. She also decides how many
hours to work of take leisure time each day. H = 24 ́- N, where H is work and N is leisure.
Her utility is given by
U(C,N) = ((C^1-a) / 1-a) +B logN
(a) Solve for the optimal decision of labor/leisure. Plot the budget constraint and the indif-
ferent curve. What is the labor supply function?

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