Each month Larry purchases household utilities. His preferences over gallons of heating oil (x) and units of other utilities (y) can be represented by the utility function: U(x,y) = ln x + ln y. Suppose that the market price of heating oil is $4 per gallon, the price of a unit of other utilities is $1, and that Larry has $320 to spend per month on his utilities. The price of heating oil is too high, so the government proposes a per-unit subsidy of $1.60. Larry can buy heating oil at the price of $2.40 with the per-unit subsidy. However, the government adjusts the price of heating oil again. The second proposal sets the market price of heating oil to $2.56. 1) What is the equivalent variation of the price change from $2.40 to $2.56? 2) What is the cost to the government?

Microeconomics A Contemporary Intro
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Each month Larry purchases household utilities. His preferences over gallons of heating oil (x) and units of other utilities (y) can be represented by the utility function: U(x,y) = ln x + ln y. Suppose that the market price of heating oil is $4 per gallon, the price of a unit of other utilities is $1, and that Larry has $320 to spend per month on his utilities. The price of heating oil is too high, so the government proposes a per-unit subsidy of $1.60. Larry can buy heating oil at the price of $2.40 with the per-unit subsidy.

However, the government adjusts the price of heating oil again. The second proposal sets the market price of heating oil to $2.56.

1) What is the equivalent variation of the price change from $2.40 to $2.56?

2) What is the cost to the government?

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