Robinson Crusoe has exactly 12 hours per day to spend gathering coconuts ( C) or catching fish (F). Let tp denote the time (in hours) spent catching fish and tc the time (in hours) spent gathering coconuts per day. Robinson can catch 3 fish per hour or he can gather 6 coconuts per hour; his "production technology" can thus be described by: F = 3tp and C = 6tc. Robinson's utility function is U(F,C) = FC where F is his consumption of fish and C is his consumption of coconuts. (a) Write down Robinson's time constraint and hence find an equation for his Production Possibility Frontier (PPF).

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Robinson Crusoe has exactly 12 hours per day to spend gathering coconuts (
C) or catching fish (F). Let tp denote the time (in hours) spent catching fish and
tc the time (in hours) spent gathering coconuts per day. Robinson can catch 3
fish per hour or he can gather 6 coconuts per hour; his "production technology"
can thus be described by: F = 3tp and C = 6tc. Robinson's utility function is
U(F,C) = FC where F is his consumption of fish and C is his consumption of
coconuts.
1.
(a) Write down Robinson's time constraint and hence find an equation for his
Production Possibility Frontier (PPF).
(b) Find the number of fish Robinson will catch per day and the number of
coconuts he will gather per day.
Transcribed Image Text:Robinson Crusoe has exactly 12 hours per day to spend gathering coconuts ( C) or catching fish (F). Let tp denote the time (in hours) spent catching fish and tc the time (in hours) spent gathering coconuts per day. Robinson can catch 3 fish per hour or he can gather 6 coconuts per hour; his "production technology" can thus be described by: F = 3tp and C = 6tc. Robinson's utility function is U(F,C) = FC where F is his consumption of fish and C is his consumption of coconuts. 1. (a) Write down Robinson's time constraint and hence find an equation for his Production Possibility Frontier (PPF). (b) Find the number of fish Robinson will catch per day and the number of coconuts he will gather per day.
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