(1 point) For the LP max z = 4x1 s.t. -22 +2x3 21 231 +32 +22 2.32 6 = 4 +23 11 +23 X1 > 0 22,23 urs Find the optimal solution (the values of the x; i's and the dual values yi's (i.e. shadow prices) by whatever method: (1) what are your values for Y1 = 0 Y2 = 0.6 y3 = 44 = 2.8 (2) If we add a new activity (Change 5) where 6 5 X4 > 0, 04 = 4, and a4 = -2 will the current solution remain optimal (y) y ? 6 2 (3) If, instead we add the new activity: 24 > 0,24 = 4, and a4 = will the current solution remain optimal (y) n ? (4) in Item (3) what is the value of the left hand side of the fourth constraint of the dual of the new Max LP