For each statement below, indicate whether the statement is true or false. (a) mal solution or determines that the original (primal) problem is The dual simplex algorithm terminates with an opti- infeasible. (b) If the dual of an LP is unbounded, then the primal must be infeasible. (c) If the dual of an LP is infeasible, then the primal must be unbounded. (d) zero, then the corresponding dual price is positive. At optimality, if the slack variable for a constraint is In the dual simplex algorithm, every tableau except (e) the last indicates a basic solution that is infeasible for the primal problem. If x is feasible for the primal problem and (f) solution where x and y satisfy complementary slackness, then Y is optimal if and only if y is dual feasible. is a dual (g) defines a primal basic feasible solution and a dual feasible solution The tableau at each iteration of the simplex method that is not basic. (h) Not every linear program has a dual problem. (i) The revised simplex method avoids updating B-'N. A minimization problem with nonnegative objective (j) coefficients always admits Y = 0 as a feasible solution.
For each statement below, indicate whether the statement is true or false. (a) mal solution or determines that the original (primal) problem is The dual simplex algorithm terminates with an opti- infeasible. (b) If the dual of an LP is unbounded, then the primal must be infeasible. (c) If the dual of an LP is infeasible, then the primal must be unbounded. (d) zero, then the corresponding dual price is positive. At optimality, if the slack variable for a constraint is In the dual simplex algorithm, every tableau except (e) the last indicates a basic solution that is infeasible for the primal problem. If x is feasible for the primal problem and (f) solution where x and y satisfy complementary slackness, then Y is optimal if and only if y is dual feasible. is a dual (g) defines a primal basic feasible solution and a dual feasible solution The tableau at each iteration of the simplex method that is not basic. (h) Not every linear program has a dual problem. (i) The revised simplex method avoids updating B-'N. A minimization problem with nonnegative objective (j) coefficients always admits Y = 0 as a feasible solution.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please help with this true/false linear programming questions, thank you!
Transcribed Image Text:For each statement below, indicate whether the
statement is true or false.
(a)
mal solution or determines that the original (primal) problem is
The dual simplex algorithm terminates with an opti-
infeasible.
(b)
must be infeasible.
If the dual of an LP is unbounded, then the primal
(c)
If the dual of an LP is infeasible, then the primal must
be unbounded.
(d)
At optimality, if the slack variable for a constraint is
then the corresponding dual price is positive.
zero,
In the dual simplex algorithm, every tableau except
(e)
the last indicates a basic solution that is infeasible for the primal
problem.
(f)
solution where x and y satisfy complementary slackness, then Y
is optimal if and only if y is dual feasible.
If æ is feasible for the primal problem and y is a dual
(g)
defines a primal basic feasible solution and a dual feasible solution
The tableau at each iteration of the simplex method
that is not basic.
(h)
Not every linear program has a dual problem.
(i)
The revised simplex method avoids updating B-'N.
A minimization problem with nonnegative objective
(j)
coefficients always admits y = 0 as a feasible solution.
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