Use the following model framework to conduct an intertemporal analysis of the stock pollution. In each time period t, M, = pollution flow (emission), A = pollution stock (concentration in atmosphere). %3D The annual benefits from pollution is modeled by the benefit function: B = B(M) = 100M – 0.5M² %3D %3D The annual damages from pollution is modeled by the damage function: D = D(A) = 2 + A? The current pollution stock level is given at 10. The pollution stock decays in the atmosphere at a rate of a = 0.4 The discount rate of the intertemporal decision is r = 5%.
Use the following model framework to conduct an intertemporal analysis of the stock pollution. In each time period t, M, = pollution flow (emission), A = pollution stock (concentration in atmosphere). %3D The annual benefits from pollution is modeled by the benefit function: B = B(M) = 100M – 0.5M² %3D %3D The annual damages from pollution is modeled by the damage function: D = D(A) = 2 + A? The current pollution stock level is given at 10. The pollution stock decays in the atmosphere at a rate of a = 0.4 The discount rate of the intertemporal decision is r = 5%.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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A3
![Use the following model framework to conduct an intertemporal analysis of the stock pollution. In each
time period t, M; = pollution flow (emission), A = pollution stock (concentration in atmosphere).
The annual benefits from pollution is modeled by the benefit function:
B = B(M) = 100M – 0.5M²
%3D
The annual damages from pollution is modeled by the damage function:
D = D(A) = 2 + A²
The current pollution stock level is given at 10.
The pollution stock decays in the atmosphere at a rate of a = 0.4
The discount rate of the intertemporal decision is r = 5%.
Question 1: Solve the efficient steady-state M* and A*
Steady-state M* =
Steady-state A* =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2c92d7e-b76f-4d76-b9e5-a470e6458c3c%2F4026acae-b5bc-49d1-8ca7-67f1db2c45b5%2Fdhhd8f9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the following model framework to conduct an intertemporal analysis of the stock pollution. In each
time period t, M; = pollution flow (emission), A = pollution stock (concentration in atmosphere).
The annual benefits from pollution is modeled by the benefit function:
B = B(M) = 100M – 0.5M²
%3D
The annual damages from pollution is modeled by the damage function:
D = D(A) = 2 + A²
The current pollution stock level is given at 10.
The pollution stock decays in the atmosphere at a rate of a = 0.4
The discount rate of the intertemporal decision is r = 5%.
Question 1: Solve the efficient steady-state M* and A*
Steady-state M* =
Steady-state A* =
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