Question

If an iso-profit line yielding the optimal solution coincides with a constraint line, then
A. The solution is unbounded
B. The solution is infeasible
C. The constraints which coincided is redundant
D. None of the above

Answer 1

Hint: In the above question, we know that when a function is to be maximized or minimized to certain constraints in the form of linear equations or inequalities, these types of problems are known as linear programming problems. Now, we know that when an optimal solution is yielded by a iso-profit line coincides with a constant line then the solution will be bounded and the solution is also feasible.

Complete step-by-step answer:
In the above question we have asked about a situation that when an iso-profit line yielding the optimal solution coincides with a constraint line, which of the following given in the options is true. Now, we know that when a iso-profit line yielding the optimal solution coincides with a constraint line then the solution will be bounded which means there will be a definite bounded area where the solution would be optional.
Now, we know that the area is bounded. So, the solution we got here is feasible. And moreover, the constraints which coincided are non-redundant. Now, from the options given in the problem, we can say that none of the fact satisfies the answer.

Hence, the correct option is D. that is none of the above.

Note:
In the above problem we have found the facts which are present when a iso-profit line yielding the optimal solution coincides with a constraint line. Now, we know that the area is bounded when the situation in the given question happens. And we know that if the area is bounded then the solution of the problem will be feasible.