Refer to problem 7. Instead of taxing pollution, the city council decides to auction off four permits, each of which entitles the bearer to emit 1 ton of smoke per day. No smoke may be emitted without a permit. Suppose the government conducts the auction by starting at $1 and asking how many permits each firm wants to buy at that price. If the total is more than four, it then raises the price by $1 and asks again, and so on, until the total quantity of demanded permits falls to four. How much will each permit sell for in this auction? How many permits will each firm buy? What will be the total cost to society of this reduction in pollution? LO2