(2 points) For the LP max 2 40 -22 +2.23 s.t. +22 21 2.01 +12 6 4 212 +23 21 +23 21 > 0 22, 23 urs Find the optimal solution (the values of the 2;'s and the dual values yi's (i.e. shadow prices) by whatever method: (1) what are your values for y1 = 0 Y2 = y3 = Y4 = (2) If we add a new activity (Change 5) where 6 5 14 > 0,C4 = 4, and a4 = -2 0 will the current solution remain optimal (y) y 2 6 2 (3) If, instead we add the new activity: 24 > 0,64 = 4, and a4 = 2 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? 10