Compensation for a rise in price Charlie's utility over X and Y is given by U(X,Y)=XY, Px-Py-1 and m=100. Due to the pandemic, Px doubled. The government wants to compensate people like Charlie for their suffering due to the rise in price and offer them a payment. You are hired to figure how much to offer. Keep in mind that the government does not want to over pay, but aims to offer only the necessary amount and no more. a. Use the Cobb Douglas "shortcut" to get the demand for X and Y. b. Charlie's indirect utility function is given by V(Px. Py, m)=. C. Fill in the table below.

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Chapter1: Making Economics Decisions
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Compensation for a rise in price
Charlie's utility over X and Y is given by U(X,Y)=XY, Px=Px=1 and m=100. Due to the pandemic, Px doubled. The
government wants to compensate people like Charlie for their suffering due to the rise in price and offer them a payment.
You are hired to figure how much to offer. Keep in mind that the government does not want to over pay, but aims to offer
only the necessary amount and no more.
a. Use the Cobb Douglas "shortcut" to get the demand for X and Y.
b. Charlie's indirect utility function is given by V(Px, Py, m)=..
C. Fill in the table below.
Before the price
increase
Price of x doubled
Price of x doubled. The
government pays
Charlie to allow him to
afford the old bundle
Price of x doubled. The
government pays
Charlie to allow him to
Px
Py
reach the old utility
level
d. What is the right compensation?
m
X*
Y*
U*
Transcribed Image Text:Compensation for a rise in price Charlie's utility over X and Y is given by U(X,Y)=XY, Px=Px=1 and m=100. Due to the pandemic, Px doubled. The government wants to compensate people like Charlie for their suffering due to the rise in price and offer them a payment. You are hired to figure how much to offer. Keep in mind that the government does not want to over pay, but aims to offer only the necessary amount and no more. a. Use the Cobb Douglas "shortcut" to get the demand for X and Y. b. Charlie's indirect utility function is given by V(Px, Py, m)=.. C. Fill in the table below. Before the price increase Price of x doubled Price of x doubled. The government pays Charlie to allow him to afford the old bundle Price of x doubled. The government pays Charlie to allow him to Px Py reach the old utility level d. What is the right compensation? m X* Y* U*
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d. What is the right compensation?
e.
The graph below shows Charlie's indifference curves and the original budget line. Illustrate your answer on the
graph and show the optimal points that you found above.
U1
U3
U2
Transcribed Image Text:d. What is the right compensation? e. The graph below shows Charlie's indifference curves and the original budget line. Illustrate your answer on the graph and show the optimal points that you found above. U1 U3 U2
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