Indicate which of the following is an all-Integer linear program and which is a mixed-Integer linear program. Write the LP Relaxation for the problem but do not attempt to solve. (a) Max 50x1 + 45x2 s.t (1) 6x1 + 3x2 S 400 (2) 3x1 + 2x2 s 250 X1 + X2 < 150 X1, X2 2 0 and X2 Integer 1) Is this an all-integer linear program and which is a mixed-Integer linear program. 2) Write the LP Relaxation for the problem. Max s.t.(1) (2) (3) (3) I