#11: Consider the following statements. (1) Every linear programming problem with a non-empty feasibility set has a solution. (ii) The feasibility set of a linear programming problem always contains the origin. (111) The solution of a linear programming problem can occur at a point which is not an extreme point of the feasibility set. (iv) The number of slack variables introduced to solve a linear programming problem via the simplex method is always less than the number of constraints. Determine which of the above statements are True (1) or False (2). So, for example, if you think that the answers, in the above order, are True False,False, True then you would enter '1,2,2,1' into the answer box below (without the quotes).
#11: Consider the following statements. (1) Every linear programming problem with a non-empty feasibility set has a solution. (ii) The feasibility set of a linear programming problem always contains the origin. (111) The solution of a linear programming problem can occur at a point which is not an extreme point of the feasibility set. (iv) The number of slack variables introduced to solve a linear programming problem via the simplex method is always less than the number of constraints. Determine which of the above statements are True (1) or False (2). So, for example, if you think that the answers, in the above order, are True False,False, True then you would enter '1,2,2,1' into the answer box below (without the quotes).
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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Transcribed Image Text:Problem #11: Consider the following statements.
(1) Every linear programming problem with a non-empty feasibility set has a solution.
(ii) The feasibility set of a linear programming problem always contains the origin.
(111) The solution of a linear programming problem can occur at a point which is not an extreme point of the
feasibility set.
(iv) The number of slack variables introduced to solve a linear programming problem via the simplex
method is always less than the number of constraints.
Determine which of the above statements are True (1) or False (2).
So, for example, if you think that the answers, in the above order, are True False False, True then you would
enter '1,2,2,1' into the answer box below (without the quotes).
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