from ortools.linear_solver import pywraplp

solver = pywraplp.Solver('SolveIntegerProblem',
                       pywraplp.Solver.CBC_MIXED_INTEGER_PROGRAMMING)

objective = solver.Objective()

Variable[0] = solver.IntVar(0, 5, variable 0 )
Variable[1] = solver.IntVar(0, 10, variable 1 )
Variable[2] = solver.IntVar(0, 20, variable 2 )

objective.SetCoefficient(Variable[0], 1)
objective.SetCoefficient(Variable[1], 1)
objective.SetCoefficient(Variable[2], 1)

objective.SetMaximization()

constraints.append(solver.Constraint(8,10))
constraints[0].SetCoefficient(variable[1],1)

constraints.append(solver.Constraint(5,10))
constraints[1].SetCoefficient(variable[2],1)