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
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AFTER COMPILATION
Minimize
  - C0 - C1 - C2 - C3
Subject To
 R0: C8 = 4
 R1: C9 = 4
 R2: C10 = 4
 R3: C11 = 4
 R4: C0 - C4 <= 0
 R5: C1 - C5 <= 0
 R6: C2 - C6 <= 0
 R7: C3 - C7 <= 0
 R8: - C4 <= -1
 R9: - C5 <= -3
 R10: - C6 <= 2
 R11: - C7 <= -4
 R12: C4 - C8 <= 0
 R13: C5 - C9 <= 0
 R14: C6 - C10 <= 0
 R15: C7 - C11 <= 0
Bounds
 C0 free
 C1 free
 C2 free
 C3 free
 C4 free
 C5 free
 C6 free
 C7 free
 C8 free
 C9 free
 C10 free
 C11 free
End
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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