Consider the following all-integer linear program. Max 1X2 + 1x2 s.t. 4X1 + 6x2 S 34 1x1 + 7x2 21 2x1 + 1x2 = 15 X1, X220 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 8 8 6 6 2 X1 4 6 8 2 6 8 8H 8 61 4 6 8 2 4 6 8 X1 o (b) Solve the LP Relaxation of this problem. at (X1X2) = (c) Find the optimal integer solution. at (* 11 * 2) = Consider the following all-integer linear program. Max 1X2 + 1x2 s.t. 4X1 + 6x2 S 34 1x1 + 7x2 21 2x1 + 1x2 = 15 X1, X220 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 8 8 6 6 2 X1 4 6 8 2 6 8 8H 8 61 4 6 8 2 4 6 8 X1 o (b) Solve the LP Relaxation of this problem. at (X1X2) = (c) Find the optimal integer solution. at (* 11 * 2) =