1. (42 points) Suppose a public referendum is being held on whether or not to levy a tax on cigarettes. Currently, the supply of cigarettes is given by Qs = -100 + 20P. You estimate the demand for cigarettes to be Qd = 200 - 5P. You are asked to evaluate the likely effects of a tax on cigarettes equal to $1 per pack of cigarettes. Specifically, you are to file a report which predicts by how much this will reduce the amount of cigarettes sold. You are also asked to estimate the proportion of the tax that will be paid by the cigarette companies (sellers), and the proportion of the tax that will be paid by the smokers (consumers) of cigarettes.