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?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Maximum value of $Z$ is at $Q(30, 20)$. ##
|
Corner points |
Value of the objective function $Z=4x+3y$ |
|
$O(0, 0)$ |
$Z = 0$ |
|
$R(40, 0)$ |
$Z = 160$ |
|
$Q(30, 20)$ |
$Z = 120+60=180$ |
|
$P(0, 40)$ |
$Z = 120$ |
Since, the feasible region is bounded so the maximum value of the objective function $Z = 180$ is at $Q(30, 20)$.