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2. [20 points] The taxes paid by consumers in chapter 9 [denoted t and t') are what we call lumpsum taxes. In reality many taxes are proportional. In this question, consumers pay lump sum taxes and consumption taxes. Let's denote the consimlption tax rate in the current period by I and the consumption tax rate in the future period by :3". As usual, :3; and y' denote the consimier's income in the current and future periods, respectively. The total amount of taxes paid by the consumer in the current period is t + rc. The total amount of taxes paid by the consumer in the future period is t' + r'c'. [a] [3 pts] You can take as given that the consumer's Lifetime budget constraint is (y t} (1+1+( if \"a (4) 't' 1 6:?! _,_ +1\" 1+1" 1+3:" lWrite the expression corresponding to the slope of the consumer's lifetime budget constraint. Imagine that you want to draw the lifethue budget constraint on a graph with c' on the verticaJ axis and c on the horizontal axis. From now on, assume that y = 200, y' = 150, t' = 25, r = 0.1 and 2:" = 0.25