Persons A and B are roommates. Person A smokes and Person B does not. The index s measures how smoky the room is. It varies from s=0, where there is no smoke in the room, to s=1, when the room is filled with smoke. Thus, 1-s measures how "clean" the air in the room is. Person A's utility function is uд(XA,S)=XA+In(1+s), where xд is the amount of money Person A owns. Person B's utility function is uẞ(XB,1s)=3x+2(1-s), where XB is the amount of money Person B owns. Each person starts with an endowment of 5 units of money. Persch B has the legal right to a smoke-free room and there is a market for "emission right." At the Walrasian equilibrium, what will be the (per unit of smoke index) price p of the emission rights if the price of money is 1? a. None of the other answers. O b. p=2/3 O c. p=1 O d. p=3/2 O e. p=1/6
Persons A and B are roommates. Person A smokes and Person B does not. The index s measures how smoky the room is. It varies from s=0, where there is no smoke in the room, to s=1, when the room is filled with smoke. Thus, 1-s measures how "clean" the air in the room is. Person A's utility function is uд(XA,S)=XA+In(1+s), where xд is the amount of money Person A owns. Person B's utility function is uẞ(XB,1s)=3x+2(1-s), where XB is the amount of money Person B owns. Each person starts with an endowment of 5 units of money. Persch B has the legal right to a smoke-free room and there is a market for "emission right." At the Walrasian equilibrium, what will be the (per unit of smoke index) price p of the emission rights if the price of money is 1? a. None of the other answers. O b. p=2/3 O c. p=1 O d. p=3/2 O e. p=1/6
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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
Transcribed Image Text:Persons A and B are roommates. Person A smokes and Person B does not. The index s
measures how smoky the room is. It varies from s=0, where there is no smoke in the room, to
s=1, when the room is filled with smoke. Thus, 1-s measures how "clean" the air in the room is.
Person A's utility function is UA(XA,S)=XA+In(1+s), where xA is the amount of money Person A
owns. Person B's utility function is uB(XB,1s)%3D3XB+2(1-s), where Xg is the amount of money
Person B owns. Each person starts with an endowment of 5 units of money. Persch B has the
legal right to a smoke-free room and there is a market for "emission right." At the Walrasian
equilibrium, what will be the (per unit of smoke index) price p of the emission rights if the price of
money is 1?
O a. None of the other answers.
O b. p=2/3
O c. p=1
O d. p=3/2
О е. р31/6
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