6. An isolated village surrounded by wilderness contains a cultivated banana grove. Bananas (b) are the only consumption good; the number of villagers working in the grove is Lg. The grove produces bananas by: B₂ = 12L -L²g. Bananas also grow in the wilderness by: B= 2L. The village has 12 identical workers; none of them desires leisure and no other resources or products need be considered. (a) As a benevolent dictator, how would you divide the 12 laborers between grove and wilderness to maximize banana output? (b) Compare the results if the grove were instead "un-owned" property, so that any villager can enter and pick what he pleases

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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6. An isolated village surrounded by wilderness contains a cultivated banana grove. Bananas (b)
are the only consumption good; the number of villagers working in the grove is Lg. The
grove produces bananas by: B, = 12L, -L².. Bananas also grow in the wilderness by: B=
2Lw. The village has 12 identical workers; none of them desires leisure and no other
resources or products need be considered.
(a) As a benevolent dictator, how would you divide the 12 laborers between
grove and wilderness to maximize banana output?
(b) Compare the results if the grove were instead "un-owned" property, so that
any villager can enter and pick what he pleases
Transcribed Image Text:6. An isolated village surrounded by wilderness contains a cultivated banana grove. Bananas (b) are the only consumption good; the number of villagers working in the grove is Lg. The grove produces bananas by: B, = 12L, -L².. Bananas also grow in the wilderness by: B= 2Lw. The village has 12 identical workers; none of them desires leisure and no other resources or products need be considered. (a) As a benevolent dictator, how would you divide the 12 laborers between grove and wilderness to maximize banana output? (b) Compare the results if the grove were instead "un-owned" property, so that any villager can enter and pick what he pleases
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