Economics There are two factories in a small town. Both of them emit carbon dioxide into the air. Factory I currently emits 121:} tons per month, whereas faetory 2 currently emits l tons per month. The technology of each factory is different, so their costs of reducing emissions are different as well. Factory 1's costs of reducing emissions is 11311) = 1:3 and factory 2's costs of reducing 2 emissions is c2132) = E: + 2!). Suppose the government in this town would like to cut monthly total emissions to half of the current level. To do that, the government has decided to impose a tax for every ton of pollution per month emitted by a factory. To achieve its desired goal, how would the government set the tax