QUESTION 6 A village has a water reservoir that individuals A and B have access rights to. Both users A and B want to consume water from the reservoir. The total supply of water there is limited to 14 due to a dry weather this year. User A has inverse demand function: P = 20-Q. User A has marginal cost of pumping water from the reservoir (so that he can irrigate his farm): MC=4. For user B, her inverse demand function is P =10-0.5Q. User B has marginal cost of pumping water (so that she can grow fish in her water garden): MC=2. Efficient allocations are QA= and QB= . When the water allocation is efficient, user A's net benefit is and user B's net benefit is Thus, the sum of net benefits (or economic surplus) is
QUESTION 6 A village has a water reservoir that individuals A and B have access rights to. Both users A and B want to consume water from the reservoir. The total supply of water there is limited to 14 due to a dry weather this year. User A has inverse demand function: P = 20-Q. User A has marginal cost of pumping water from the reservoir (so that he can irrigate his farm): MC=4. For user B, her inverse demand function is P =10-0.5Q. User B has marginal cost of pumping water (so that she can grow fish in her water garden): MC=2. Efficient allocations are QA= and QB= . When the water allocation is efficient, user A's net benefit is and user B's net benefit is Thus, the sum of net benefits (or economic surplus) is
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![QUESTION 6
A village has a water reservoir that individuals A and B have access rights to. Both users A and B want to
consume water from the reservoir. The total supply of water there is limited to 14 due to a dry weather this
year. User A has inverse demand function: P = 20-Q. User A has marginal cost of pumping water from the
reservoir (so that he can irrigate his farm): MC=4. For user B, her inverse demand function is P =10-0.5Q.
User B has marginal cost of pumping water (so that she can grow fish in her water garden): MC=2.
Efficient allocations are QA=
and QB=
. When the water
allocation is efficient, user A's net benefit is
and user B's net benefit is
Thus, the sum of net benefits (or economic surplus) is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92cb7fac-ba32-45be-a49a-3332a5c8b88d%2F290165ea-9ce0-444a-af3c-1c6b68f30f31%2Fy375crp_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 6
A village has a water reservoir that individuals A and B have access rights to. Both users A and B want to
consume water from the reservoir. The total supply of water there is limited to 14 due to a dry weather this
year. User A has inverse demand function: P = 20-Q. User A has marginal cost of pumping water from the
reservoir (so that he can irrigate his farm): MC=4. For user B, her inverse demand function is P =10-0.5Q.
User B has marginal cost of pumping water (so that she can grow fish in her water garden): MC=2.
Efficient allocations are QA=
and QB=
. When the water
allocation is efficient, user A's net benefit is
and user B's net benefit is
Thus, the sum of net benefits (or economic surplus) is
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