Question

Consider the objective function \( Z = 40x + 50y \). The minimum number of constraints that are required to maximize \( Z \) are

• A. 4
• B. 3
• C. 2
• D. 1

Hint:

In linear programming, the number of constraints depends on the number of decision variables to define the feasible region.

Answer 1

The Correct Option is C

Step 1: Linear Programming Problem.
To maximize the objective function, the problem can be solved using linear programming, and typically, at least two constraints are needed to fully define the feasible region and maximize the objective function.
Step 2: Conclusion.
The correct answer is (C), 2.