CVXPY
Maximize
  Sum(X, None, False)
Subject To
 35: maximum(X, [[1.00 -2.00]
 [3.00 4.00]]) <= Y
 40: Y == 4.0
Bounds
 X free
 Y free
End
----------------------------------------
AFTER COMPILATION
Minimize
  - x_0 - x_1 - x_2 - x_3
Subject To
 R0: x_8 = 4
 R1: x_9 = 4
 R2: x_10 = 4
 R3: x_11 = 4
 R4: x_0 - x_4 <= 0
 R5: x_1 - x_5 <= 0
 R6: x_2 - x_6 <= 0
 R7: x_3 - x_7 <= 0
 R8: - x_4 <= -1
 R9: - x_5 <= -3
 R10: - x_6 <= 2
 R11: - x_7 <= -4
 R12: x_4 - x_8 <= 0
 R13: x_5 - x_9 <= 0
 R14: x_6 - x_10 <= 0
 R15: x_7 - x_11 <= 0
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 >= 1
 x_5 >= 3
 x_6 >= -2
 x_7 >= 4
 x_8 free
 x_9 free
 x_10 free
 x_11 free
End
----------------------------------------
GUROBI
Maximize
  X[0,0] + X[0,1] + X[1,0] + X[1,1]
Subject To
 35[0,0]: maximum_1 - Y[0,0] <= 0
 35[0,1]: maximum_2 - Y[0,1] <= 0
 35[1,0]: maximum_3 - Y[1,0] <= 0
 35[1,1]: maximum_4 - Y[1,1] <= 0
 40[0,0]: Y[0,0] = 4
 40[0,1]: Y[0,1] = 4
 40[1,0]: Y[1,0] = 4
 40[1,1]: Y[1,1] = 4
Bounds
 X[0,0] free
 X[0,1] free
 X[1,0] free
 X[1,1] free
 maximum_1 free
 maximum_2 free
 maximum_3 free
 maximum_4 free
 Y[0,0] free
 Y[0,1] free
 Y[1,0] free
 Y[1,1] free
General Constraints
 GC0: maximum_1 = MAX ( X[0,0] , 1 )
 GC1: maximum_2 = MAX ( X[0,1] , -2 )
 GC2: maximum_3 = MAX ( X[1,0] , 3 )
 GC3: maximum_4 = MAX ( X[1,1] , 4 )
End