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For the linear programming problem (LPP), the objective function is $Z = 4x + 3y$ and the feasible region determined by a set of constraints is shown in the graph:
Which of the following statements is true? |
Maximum value of $Z$ is at $R(40, 0)$. Maximum value of $Z$ is at $Q(30, 20)$. Value of $Z$ at $R(40, 0)$ is less than the value at $P(0, 40)$. The value of $Z$ at $Q(30, 20)$ is less than the value at $R(40, 0)$. |
Maximum value of $Z$ is at $Q(30, 20)$. |
The correct answer is Option (2) → Maximum value of $Z$ is at $Q(30, 20)$. ##
Since, the feasible region is bounded so the maximum value of the objective function $Z = 180$ is at $Q(30, 20)$. |
