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Questions › DSE › DSE 2005 › Q14
2 marks, −1Microeconomics › General equilibrium and exchange economies › General equilibrium with productionHardabout 3 min

DSE 2005 Question 14: General equilibrium and exchange economies

Consider Robinson Crusoe who has to allocate 242424 hours between lying on the beach and climbing trees to gather coconuts. If LLL is the time spent lying on the beach and CCC is the number of coconuts Crusoe gathers, then Crusoe's utility is min⁡{L,C}\min\{L,C\}min{L,C}. If Crusoe spends x≤8x\le 8x≤8 hours climbing trees, then he earns xxx coconuts. If he spends x>8x>8x>8 hours climbing trees, then he earns 8+3(x−8)/28+3(x-8)/28+3(x−8)/2 coconuts. How many hours should Crusoe spend climbing trees?

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Consider Robinson Crusoe who has to allocate 24 hours between lying on the beach and climbing trees to gather coconuts. If L is the time spent lying on the beach and C is the number of coconuts Crusoe gathers, then Crusoe's utility is min {L,C}. If Crusoe spends x≤ 8 hours climbing trees, then he earns x coconuts. If he spends x>8 hours climbing trees, then he earns 8+3(x-8)/2 coconuts. How many hours should Crusoe spend climbing trees? (A) 17.4 (B) 12 (C) 11.2 (D) 8

Also written as: Consider Robinson Crusoe who has to allocate 24 hours between lying on the beach and climbing trees to gather coconuts. If L is the time spent lying on the beach and C is the number of coconuts Crusoe gathers, then Crusoe's utility is min {L,C}. If Crusoe spends x<= 8 hours climbing trees, then he earns x coconuts. If he spends x>8 hours climbing trees, then he earns 8+3(x-8)/2 coconuts. How many hours should Crusoe spend climbing trees?

General equilibrium and exchange economies has come up 69 times in 7 exams since 2004.

What this question tests

This question is on General equilibrium with production, part of General equilibrium and exchange economies in Microeconomics.

Equilibrium when firms produce as well as consumers trade.

TestStop has 2 past-paper questions on this subtopic.

Practise General equilibrium and exchange economiesMore on General equilibrium with production

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Question from the DSE 2005 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.