For linear programming problems, consider the following possibilites for where s

Question

For linear programming problems, consider the following possibilites for where solution values of the activity levels can occur:

(i) a solution can occur at a point in the constraint set that is not a vertex,

(ii) it is possible that the only solution occurs at a point in the constraint set that is not a vertex,

(iii) if there is a solution then one solution occurs at a vertex of the constraint set.

Select one:

a. Only (ii) is true.

b. Only (i) is true.

c. (i) and (iii) is true

d. (ii) and (iii) are true.

e. Only (iii) is true

Explanation / Answer

In LPP if there is a solution than as per the course of problem whether maximum or minimum it should occur atleast once at the vertex of the constraint set

A Point inside a constraint set are the values abiding constraints but the solution must exist on boundary line of constraint

Hence in given scenario Option e is correct

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