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Lucy's Utility Function Is 2XL + G and Melvin's Utility

question 11

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Lucy's utility function is 2XL + G and Melvin's utility function is XMG, where G is their expenditures on the public goods they share in their apartment and where XL and XM are their respective private consumption expenditures.The total amount they have to spend on private goods and public goods is $24,000.They agree on a Pareto optimal pattern of expenditures in which the amount that is spent on Lucy's private consumption is $6,000.How much do they spend on public goods?

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Definitions:

Price Index

A statistical measure that examines the weighted average of prices of a selected basket of goods and services over a period, used to track inflation or deflation.

Social Security Payments

Government-provided financial assistance to people with inadequate or no income, especially the elderly or disabled.

Real Interest Rate

The rate of interest an investor expects to receive after allowing for inflation, reflecting the true cost of borrowing and the real yield on an investment.

Purchasing Power

A currency's value measured by the volume of goods or services purchasable with one monetary unit.

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