4. There are two individuals, and two goods: private X and public G. The prices of both goods are equal to one. Individual i has income 12 and contributes G; towards the public good, so the total amount of the public good is G = G1 +G2. The remaining money goes towards public good, so X; = 12 – Gj. The utility function of individual i is G * X;. || a) What is the contribution to a public good of each individual if they contribute indepedendly? What is the total amount of the public good? b) What is the efficient contribution to a public good?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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4. There are two individuals, and two goods: private X and public G. The prices of
both goods are equal to one. Individual i has income 12 and contributes G; towards the
public good, so the total amount of the public good is G = G1+G2. The remaining money
goes towards public good, so X;
12 – Gj. The utility function of individual i is G * X;.
a) What is the contribution to a public good of each individual if they contribute
indepedendly? What is the total amount of the public good?
b) What is the efficient contribution to a public good?
Transcribed Image Text:4. There are two individuals, and two goods: private X and public G. The prices of both goods are equal to one. Individual i has income 12 and contributes G; towards the public good, so the total amount of the public good is G = G1+G2. The remaining money goes towards public good, so X; 12 – Gj. The utility function of individual i is G * X;. a) What is the contribution to a public good of each individual if they contribute indepedendly? What is the total amount of the public good? b) What is the efficient contribution to a public good?
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