Question: (c) Consider the minmax problem min max (1 + ry -y2), TE[0.1] y20 where the decision variable is r, and y should be viewed as

(c) Consider the minmax problem min max (1 + ry -y2), TE[0.1] y20 where the decision variable is r, and y should be viewed as an uncertain parameter that enters the problem. i. (1 point) For each fixed r E [0, 1], find the maximizers of y mapstory - y2. Justify every step of your calculation. ii. (1 point) At each of the maximizers alluded to in the preceding question, compute the value of the function [0, too] > y mapstoxy - y2. iii. (1 point) Minimize the function r mapsto,>(1 + ry - y?) for me [0, 1]

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