CVXPY
Minimize
  Sum(Hstack(Promote(2.0, (2, 2)) @ x, Promote(3.0, (2, 1)) @ y, [[0.00 1.00]
 [2.00 3.00]]), None, False)
Subject To
 40: 1.0 <= x
 45: 1.0 <= y
Bounds
 x free
 y free
End
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AFTER COMPILATION
Minimize
  2 C0 + 2 C1 + 2 C2 + 2 C3 + 3 C4 + 3 C5
Subject To
 R0: - C0 <= -1
 R1: - C1 <= -1
 R2: - C2 <= -1
 R3: - C3 <= -1
 R4: - C4 <= -1
 R5: - C5 <= -1
Bounds
 C0 free
 C1 free
 C2 free
 C3 free
 C4 free
 C5 free
End
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GUROBI
Minimize
  2 x[0,0] + 2 x[0,1] + 2 x[1,0] + 2 x[1,1] + 3 y[0,0] + 3 y[1,0]
   + 6 Constant
Subject To
 40[0,0]: x[0,0] >= 1
 40[0,1]: x[0,1] >= 1
 40[1,0]: x[1,0] >= 1
 40[1,1]: x[1,1] >= 1
 45[0,0]: y[0,0] >= 1
 45[1,0]: y[1,0] >= 1
Bounds
 x[0,0] free
 x[0,1] free
 x[1,0] free
 x[1,1] free
 y[0,0] free
 y[1,0] free
 Constant = 1
End