1. Convert the following optimization problems into linear programs (they do not have to be in standard form): (a) (b) minimize xx|+3|2x2 - x3| s.t. x1,x2,23 3x1 + 2x2x3 4 X1, X2, X3 > 0 minimize |x| + 3 max {|2 - x, 2x + x3|} 1,2,3 s.t. 1