Just north of the town of Muskrat, Ontario, is the town of Brass Monkey, population 6900. Brass Monkey, like Muskrat, has a single public good, the town skating rink, and a single private good, Labatt Ale. Everyone's utility function is Mi = Mi 81 Y' where x; is the number of bottles of ale consumed by i and Y is the size of skating rink in square meters. The price of ale is $1 per bottle. The cost of skating rink to the city is $6 per square meter. Everyone has an income of

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Just north of the town of Muskrat, Ontario, is the town of Brass Monkey,
population 6900. Brass Monkey, like Muskrat, has a single public good, the
town skating rink, and a single private good, Labatt Ale. Everyone's utility
function is
U i = X i
-
81
Y
where x; is the number of bottles of ale consumed by i and Y is the size of the
skating rink in square meters. The price of ale is $1 per bottle. The cost of the
skating rink to the city is $6 per square meter. Everyone has an income of at
least $5,000. What is the Pareto efficient size for the town skating rink?
Transcribed Image Text:Just north of the town of Muskrat, Ontario, is the town of Brass Monkey, population 6900. Brass Monkey, like Muskrat, has a single public good, the town skating rink, and a single private good, Labatt Ale. Everyone's utility function is U i = X i - 81 Y where x; is the number of bottles of ale consumed by i and Y is the size of the skating rink in square meters. The price of ale is $1 per bottle. The cost of the skating rink to the city is $6 per square meter. Everyone has an income of at least $5,000. What is the Pareto efficient size for the town skating rink?
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