Suppose two companies emit a particular pollutant. The marginal cost of reducing business pollution 1 is MC1
Question:
Suppose two companies emit a particular pollutant. The marginal cost of reducing business pollution 1 is MC1 = 400q1 while the corresponding marginal cost for business 2 is MC2 = 100q2 (where 1 q and 2 q are the quantities of pollutant emissions that the first and second companies reduce, respectively) . Without government intervention, enterprise 1 generates 100 pollution units and enterprise 2 generates 80 pollution units.
Cost effective allocation of pollution reduction requires that
MC1=MC2
400q1=100q2
4q1=q2
Regulation requires that
q1+q2=50
Set q2=4q1
q1+4q1=50
5q1=50
q1=10 (Amount of pollution reduction by company 1)
q2=4q1=4*10=40 (Amount of pollution reduction by company 2)
Calculate the pollutant emission charge that must be imposed in order to achieve a cost-effective result. What will be the tax burden of each business in this case?