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Consider the following statements. Label each of the statements as True or False

ID: 3027270 • Letter: C

Question

Consider the following statements. Label each of the statements as True or False. The feasible region for LP relaxation is a subset of the feasible region of the IP problem. Linear programming problems are generally considerably easier to solve than 1 problems. If an optimal solution for the LP relaxation is an integer solution, then the optimal value of the objective function is the same for both problems. For IP problems, the number of functional constraints is generally more important in determining the computational difficulty than is the number of variables. To solve an IP problem with an approximate procedure, one may apply the simplex method to the LP relaxation problem and then round each non-integer value to the nearest integer. The result will be a feasible but not necessarily optimal solution for the IP problem. If an LP maximization problem in standard form and its dual have feasible solutions, then both problems have optimal solutions. If the primal of a problem is unbounded, then the dual of the problem has feasible solutions. The purpose of the minimum spanning tree problem is to find the spanning tree with a minimum total length of the links. Consider Branch-and-Bound algorithm. A subproblem is pruned (dismissed from further consideration) if the optimal solution for Its LP relaxation is not integer. An infeasible solution is a solution for which at least one constraint is violated.

Explanation / Answer

ANSWERS ARE in the table above , go through it for solution of given questions.

a T b T c F d F e T f T g F