2. Read each of the following statements carefully and check whether it is true or false. a. In a primal-dual pair, if the dual objective function is unbounded in the dual problem, the primal problem must be infeasible. b. If the primal problem in a primal-dual pair of LPs is infeasible, the dual problem must be infeasible too. c. The typical number of simplex iterations is proportional to the number of rows in a simplex tableau and relatively insensitive to the number of variables.
2. Read each of the following statements carefully and check whether it is true or false. a. In a primal-dual pair, if the dual objective function is unbounded in the dual problem, the primal problem must be infeasible. b. If the primal problem in a primal-dual pair of LPs is infeasible, the dual problem must be infeasible too. c. The typical number of simplex iterations is proportional to the number of rows in a simplex tableau and relatively insensitive to the number of variables.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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CAN U DO PART A AND B AND C
Transcribed Image Text:2. Read each of the following statements carefully and check whether it is true or false.
a. In a primal-dual pair, if the dual objective function is unbounded in the dual problem,
the primal problem must beinfeasible.
b. If the primal problem in a primal-dual pair of LPs is infeasible, the dual problem
must be infeasible too.
c. The typical number of simplex iterations is proportional to the number of rows in a
simplex tableau and relatively insensitive to the number of variables.
d. It is impossible for both the problems in a primal-dual pair of LPs to have unbounded
objectives.
e. If the dual is infeasible, the primal cannot have an optimal solution.
f. When we transform a problem to its dual the equality constraints define non-negative
variables.
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