Question

"The maximum or the minimum of the objectives function occurs only at the corners points of the feasible region". This theorem is known as fundamental theorem of

• A. Algebra
• B. Arithmetic
• C. Calculus
• D. Extreme Points

Hint:

In linear programming, the optimal solution occurs at the corner or extreme points of the feasible region.

Answer 1

The Correct Option is D

Step 1: Understanding the Theorem
This theorem refers to the fact that in optimization problems, the maximum or minimum of the objective function occurs at the vertices (corner points) of the feasible region.
This is called the fundamental theorem of linear programming and is associated with the concept of extreme points.
Step 2: Explanation of Other Options
Option (a) Algebra is not correct because algebra is not specifically associated with optimization problems involving extreme points.

Option (b) Arithmetic is not related to optimization theorems.

Option (c) Calculus involves the study of rates of change but does not directly address this theorem in the context of linear programming.

Step 3: Conclusion
Thus, the correct answer is Extreme Points.