Question 3 Question 3 Part a John has $100 that he can spend on milk and gas. A gallon of milk costs $5. However, government gives its citizens a coupon that entitles people to 20% discount on their first 10 gallon milk purchases. Gas costs $4 per gallon and government charges $1 for each gallon of purchased gas. John's utility function is U(x, y) = 9x+10y, where x and y represent gallons of milk and gas consumed, respectively. What is John's optimal consumption of milk and gas?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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**Question 3**

**Question 3 Part a**

John has $100 that he can spend on milk and gas. A gallon of milk costs $5. However, the government gives its citizens a coupon that entitles people to a 20% discount on their first 10 gallon milk purchases. Gas costs $4 per gallon and the government charges $1 for each gallon of purchased gas. John's utility function is \( U(x, y) = 9x + 10y \), where \( x \) and \( y \) represent gallons of milk and gas consumed, respectively. What is John's optimal consumption of milk and gas?

**Question 3 Part b**

If the government removes the quantity restriction to which the coupon applies (i.e., 20% discount is applied to any quantity of milk purchased), what will be John's optimal consumption?
Transcribed Image Text:**Question 3** **Question 3 Part a** John has $100 that he can spend on milk and gas. A gallon of milk costs $5. However, the government gives its citizens a coupon that entitles people to a 20% discount on their first 10 gallon milk purchases. Gas costs $4 per gallon and the government charges $1 for each gallon of purchased gas. John's utility function is \( U(x, y) = 9x + 10y \), where \( x \) and \( y \) represent gallons of milk and gas consumed, respectively. What is John's optimal consumption of milk and gas? **Question 3 Part b** If the government removes the quantity restriction to which the coupon applies (i.e., 20% discount is applied to any quantity of milk purchased), what will be John's optimal consumption?
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