#12823: Allow constants for objective function in MixedIntegerLinearProgram
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   Reporter:  john_perry          |             Owner:  ncohen          
       Type:  PLEASE CHANGE       |            Status:  new             
   Priority:  major               |         Milestone:  sage-5.0        
  Component:  linear programming  |          Keywords:  solver objective
Work issues:                      |   Report Upstream:  N/A             
  Reviewers:                      |           Authors:                  
  Merged in:                      |      Dependencies:                  
   Stopgaps:                      |  
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 This is a bug.
 {{{
 sage: lp = MixedIntegerLinearProgram()
 sage: x, y = lp[0], lp[1]
 sage: lp.add_constraint(2*x + 3*y <= 6)
 sage: lp.add_constraint(3*x + 2*y <= 6)
 sage: lp.set_objective(x + y + 7)
 sage: lp.set_integer(x); lp.set_integer(y)
 sage: lp.solve()
 2.0
 }}}
 The correct value ought to be '''9''', not '''2'''. The problem is this
 line in the `set_objective()` method of `mip.pyx`:
 {{{
         f.pop(-1,0)
 }}}
 John Perry will create a patch for GLPK and CBC; Nathann Cohen will create
 a patch for Gurobi and CPLEX.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12823>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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