How to get step by step table in Simplex method in sagemath?
I have used the following commands to solve a linear programing problem in sagemath.
>p = MixedIntegerLinearProgram(maximization=True, solver='GLPK')
>x = p.new_variable(nonnegative=True)
> p.set_objective(12*x[0] + 3*x[1]+x[2])
> p.add_constraint(10*x[0] + 2*x[1]+x[2]<= 100)
>p.add_constraint(7*x[0] +3*x[1]+2*x[2] <= 77)
> p.add_constraint(2*x[0] + 4*x[1]+x[2] <= 80)
> p.show()
> print 'The optimal value:', QQ(p.solve())It solved and gave the answer. But I want to generate a step by step table to explain to the students.
Is there any possible way to get the step by step table? or should we have to modify the program to do so?
Probably you would have to write a completely new method, as
MILPmay not even use plain old simplex method internally, depending on the solver (it might, but I'm not sure of that). It certainly would not support a step-by-step table. However, such an addition would be of very useful pedagogical value for Sage-using educators! Edit - see tmonteil's answer instead!