CVXPY
Maximize
  Sum(X + Y, None, False)
Subject To
 29: maximum(X, Y, [[1.00 -2.00]
 [3.00 4.00]]) <= 4.0
Bounds
 X free
 Y free
End
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AFTER COMPILATION
Minimize
  - x_0 - x_1 - x_2 - x_3 - x_4 - x_5 - x_6 - x_7
Subject To
 R0: x_0 - x_8 <= 0
 R1: x_1 - x_9 <= 0
 R2: x_2 - x_10 <= 0
 R3: x_3 - x_11 <= 0
 R4: x_4 - x_8 <= 0
 R5: x_5 - x_9 <= 0
 R6: x_6 - x_10 <= 0
 R7: x_7 - x_11 <= 0
 R8: - x_8 <= -1
 R9: - x_9 <= -3
 R10: - x_10 <= 2
 R11: - x_11 <= -4
 R12: x_8 <= 4
 R13: x_9 <= 4
 R14: x_10 <= 4
 R15: x_11 <= 4
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 free
 x_5 free
 x_6 free
 x_7 free
 x_8 >= 1
 x_9 >= 3
 x_10 >= -2
 x_11 >= 4
End
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GUROBI
Maximize
  X[0,0] + X[0,1] + X[1,0] + X[1,1] + Y[0,0] + Y[0,1] + Y[1,0] + Y[1,1]
Subject To
 29[0,0]: maximum_1 <= 4
 29[0,1]: maximum_2 <= 4
 29[1,0]: maximum_3 <= 4
 29[1,1]: maximum_4 <= 4
Bounds
 X[0,0] free
 X[0,1] free
 X[1,0] free
 X[1,1] free
 Y[0,0] free
 Y[0,1] free
 Y[1,0] free
 Y[1,1] free
 maximum_1 free
 maximum_2 free
 maximum_3 free
 maximum_4 free
General Constraints
 GC0: maximum_1 = MAX ( X[0,0] , Y[0,0] , 1 )
 GC1: maximum_2 = MAX ( X[0,1] , Y[0,1] , -2 )
 GC2: maximum_3 = MAX ( X[1,0] , Y[1,0] , 3 )
 GC3: maximum_4 = MAX ( X[1,1] , Y[1,1] , 4 )
End