Mark each statement as True or False. The basic feasible solutions before and after a pivot are always (a) different. (b) The artificial linear program of phase 1 might terminate with an unbounded solution. If the phase 1 LP terminates with a basic artificial variable, the (c) original LP must be infeasible. An optimal solution may have a nonbasic variable with zero reduced (d) cost and still be the unique optimum. (e) guaranteed to terminate with an optimal solution. If a linear program is not degenerate, then the simplex method is

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Mark each statement as True or False.
The basic feasible solutions before and after a pivot are always
(a)
different.
(b)
The artificial linear program of phase 1 might terminate with an
unbounded solution.
(c)
original LP must be infeasible.
If the phase 1 LP terminates with a basic artificial variable, the
(d)
cost and still be the unique optimum.
An optimal solution may have a nonbasic variable with zero reduced
(e)
guaranteed to terminate with an optimal solution.
If a linear program is not degenerate, then the simplex method is
(f)
If the simplex method cycles, the LP is degenerate.
(g)
Every feasible linear program has an optimal solution or has an
unbounded solution.
Transcribed Image Text:Mark each statement as True or False. The basic feasible solutions before and after a pivot are always (a) different. (b) The artificial linear program of phase 1 might terminate with an unbounded solution. (c) original LP must be infeasible. If the phase 1 LP terminates with a basic artificial variable, the (d) cost and still be the unique optimum. An optimal solution may have a nonbasic variable with zero reduced (e) guaranteed to terminate with an optimal solution. If a linear program is not degenerate, then the simplex method is (f) If the simplex method cycles, the LP is degenerate. (g) Every feasible linear program has an optimal solution or has an unbounded solution.
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