Consider an economy with 8 factories and 150 citizens. There are 4 factories that have total benefits TB;(e;) = 250e; e and 4 factories that have total benefits TB;((i) = 250e; 2e? . The total damage done to each citizen is TD.(e) = e + 0.01e2 Find the optimal Pigovian tax. Hint 1: Recall that it is important how you add up emissions, and that "production" of emissions is rival while "consumption" of emissions is non-rival. Hint 2: Note that "adding up" a number of identical firms or citizens is the same as multiplying by that number. When adding up the benefits, you may want to add-up the two types of factories separately and then combine them. Consider an economy with 8 factories and 150 citizens. There are 4 factories that have total benefits TB;(e;) = 250e; e and 4 factories that have total benefits TB;((i) = 250e; 2e? . The total damage done to each citizen is TD.(e) = e + 0.01e2 Find the optimal Pigovian tax. Hint 1: Recall that it is important how you add up emissions, and that "production" of emissions is rival while "consumption" of emissions is non-rival. Hint 2: Note that "adding up" a number of identical firms or citizens is the same as multiplying by that number. When adding up the benefits, you may want to add-up the two types of factories separately and then combine them