Question 1 The sets A and B are dened as follows: A: {m 6R5 : max\" $1+2$2+$3 $4|a$1 +($3)2 '33s) 3 2}; B: {m 6R5 : 2531+$2+a:3 =4,:c1+3:23:4+$5 = 1,531; 20,z'=1,...,5}. a) Argue that the set A n B is convex. b) Is the point (0, 1, 3, 0, 0) a feasible basic solution for the set B