Consider two polluting firms with the following marginal savings functions; MS1 = 20 - e1 for firm 1 MS2 = 40 – 0.5e2 for firm 2 Where e1 and e2 are emission levels for firm 1 and 2, respectively. A....

Consider two polluting firms with the following marginal savings functions; MS1 = 20 - e1 for firm 1 MS2 = 40 – 0.5e2 for firm 2 Where e1 and e2 are emission levels for firm 1 and 2, respectively. A. Sketch the MS functions on a diagram. B. Derive the total MS function. Draw it on your diagram above. C. The regulator would like to reduce the level of total emissions by 60% from their unregulated level. What is the total reduction in emissions needed? i. If the regulator decides emissions be cut using equiproportionate reduction, how much is each firm required to reduce? Explain whether this would be a cost-effective way to reduce emissions? ii. If instead the regulator decides to use an emission fee, what level should the fee be set to achieve the desired level of emissions? How much would each firm emit? Illustrate your answer on the diagram above. iii. In (ii) above, do the firms emit different amounts in the presence of the emission fee? Does it make sense that they should emit different amounts? Answer all parts and draw a graph/diagram for the parts that require it.