Of all the points of the feasible region, for maximum or minimum of objective function, the point lies
(a) inside the feasible region
(b) at the boundary line of the feasible region
(c) at the vertex points of the boundary of the feasible region
(d) none of these
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Answer:
(c) at the vertex points of the feasible region
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Of all the points of the feasible region, for maximum and minimum of objective function, the point lies (c) at the vertex points of the boundary of the feasible region.
Explanation:
- The area containing the set of points that satisfies the inequalities in a system is called feasible region.
- The turning point of the values is the vertex of the graph and the maximum or minimum occurs at vertices.
- If the values increases then at certain point it starts to decrease from left to right and such point is called maximum of the graph.
- If the values decreases then at certain point it starts to increase from left to right and such point is called minimum of the graph.
- The maximum is also known as the highest value of the graph and the minimum is also known as the lowest value of the graph.
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