I need help with question 1, part b and have provided the part a answer and explanation for context.

Please note: This answer MUST be in the form of a mathematical expression with the fewest terms possible (this may include letters, numbers, and/or symbols). Anything else will be useless, so please only answer if you can help provide an answer in the way the assignment requests. Thank you!

Theoretical Problem 2 (4 parts in total) The problem presents a model of redistribution. Assume that wealth y is distributed uniformly on [0,1]. The society may implement redistributive policies according to some parameter r as follows: those with y > T have the entirety of their wealth confiscated. This money is then redistributed evenly throughout the whole population, including those from whom it was taken (i.e., every individual on [0,1] gets some). Thus, a higher 7' means that redistribution is more narrowly targeted at the wealthy. 1- = 1 means no redistribution, r = 0 means full redistribution across the population. Question 1a Given y, what is a voters expected post-redistribution income as a function of'r? Note that, for example, the indicator function (y g 'r) is a function that takes the value 0f1 ify g 7' and the value of 0 otherwise. y*(y>r) gownMy) l 2 (1-r2)+y*(y>r) Explanation 1 Atotal of L1 min: 2 5(1 7'2) is collected. Because of the uniform density, this is exactly the amount redistributed. So the nal income is U = (1 7'2) + y * (y S 'r). The shape of the curve is a negative quadratic curve, with a discontinuousjump up at r' = y. 2 Question 1b What is each voter's bliss point 7' as a function of y? Enter your answer as a mathematical expression with the fewest terms possible ( this may include letters, numbers, and/or symbols) Save Smeit You have used 0 of1 attempt