Please help with the calculations & working :) In this question there is a diagram with ‘y’ being the vertical axis representing costs/damages, and ‘P’ being a horizontal axis representing pollution. Abatement is the opposite of pollution, so if pollution falls from, say, 3 to 1 abatement rises by 2. 1. Suppose the marginal damage curve to private firms is MDP: y=0 and the marginal cost of abatement is MCA: y=1-P if P<1 and y=0 otherwise, where y is the vertical axis on a cost/damage scale, and P is the amount of pollution. Plot these curves and the equilibrium amount of pollution which is privately optimal for the firm. 2. Why is the marginal cost of abatement is downward sloping (with increasing pollution measured on the bottom axis as you go right). Give an example where this is a reasonable assumption 3. Suppose the marginal damage to society is MDS: y=P. Calculate the socially optimal amount of pollution. What ethical system does the ‘optimal amount of pollution’ belong? To whom would it make the least sense to and why?
Please help with the calculations & working :)
In this question there is a diagram with ‘y’ being the vertical axis representing costs/damages, and ‘P’ being a horizontal axis representing pollution. Abatement is the opposite of pollution, so if pollution falls from, say, 3 to 1 abatement rises by 2.
1. Suppose the marginal damage curve to private firms is MDP: y=0 and the marginal cost of abatement is MCA: y=1-P if P<1 and y=0 otherwise, where y is the vertical axis on a cost/damage scale, and P is the amount of pollution. Plot these curves and the equilibrium amount of pollution which is privately optimal for the firm.
2. Why is the marginal cost of abatement is downward sloping (with increasing pollution measured on the bottom axis as you go right). Give an example where this is a reasonable assumption
3. Suppose the marginal damage to society is MDS: y=P. Calculate the socially optimal amount of pollution. What ethical system does the ‘optimal amount of pollution’ belong? To whom would it make the least sense to and why?
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