求解一道关于帕雷托最优问题和PUblic good 问题

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求解一道关于帕雷托最优问题和PUblic good 问题。Galway, Ireland has 1,000 people. Every year they have a fireworks show on the Fourth of July. The citizens are interested in only two things, drinking milk and watching fireworks. Fireworks cost 1 gallon of milk per unit. People in Galway have identical utility functions Ui(xi, g)=xi+(√g)/20, where xi is the number of gallons of milk per year consumed by citizen i, and g is the number of units of fireworks exploded in the town’s Fourth of July extravaganza. (Private use of fireworks is outlawed.)

a.Solve for the absolute value of each citizen’s marginal rate of substitution between fireworks and milk.
b. Find the Pareto optimal amount of fireworks for Galway.
第一题答案是1/40(√g),第二题答案625.谢谢！！

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关键词：Public good 帕雷托 substitution Interested interested people number things where

第一问好说，边际效用一比就出来了，第二问你缺少每年总消费的牛奶数量这个条件。

yangyuzhou 发表于 2016-5-30 08:09
第一问好说，边际效用一比就出来了，第二问你缺少每年总消费的牛奶数量这个条件。

您好谢谢，可以麻烦您写一下过程吗谢谢，另外第二问每年消费牛奶数量Xi的，谢谢你，可以麻烦给一下过程么