Elsa lives alone on an island with two goods, bananas and fresh water. Her utility function is U = 4BW where B is the amount of bananas she consumes and W the amount of water. Her production function for bananas is B=Lg where Lg is the amount of labour time she devotes to bananas. Her production function for water is W = LW where Lw is the amount of labour time she devotes to water. If the total time she has available is 70, what should she do to maximize her utility? (Enter your answers in whole numbers.) LB=L Lw=[

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.2P
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Elsa lives alone on an island with two goods, bananas and fresh water. Her utility function is U = 4BW where B is the amount of
bananas she consumes and Wthe amount of water. Her production function for bananas is B=Lg where Lg is the amount of labour
time she devotes to bananas. Her production function for water is W = Lwwhere Lwis the amount of labour time she devotes to
water.
If the total time she has available is 70, what should she do to maximize her utility? (Enter your answers in whole numbers.)
LB=
Lw=[
Transcribed Image Text:Elsa lives alone on an island with two goods, bananas and fresh water. Her utility function is U = 4BW where B is the amount of bananas she consumes and Wthe amount of water. Her production function for bananas is B=Lg where Lg is the amount of labour time she devotes to bananas. Her production function for water is W = Lwwhere Lwis the amount of labour time she devotes to water. If the total time she has available is 70, what should she do to maximize her utility? (Enter your answers in whole numbers.) LB= Lw=[
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