An objective function $Z=a x+b y$ is maximum at points $(8,2)$ and $(4,6)$. If $a \geq 0$ and $b \geq 0$ and $a b=25$, then the maximum value of the function is equal to :

The programming problem

Max $Z = 2x + 3y$ subject to the conditions $0 \leq x \leq 3, 0 \leq y \leq 4$ is :

The corner points of the feasible region of a LPP with the constraints $x + 2y \leq 40$, $3x + y \geq 30$, $4x + 3y \geq 60$, $x, y \geq 0$ are

The maximum value of $z = 4x + 3y$, if the feasible region for an LPP is as shown below is:

Choose the wrong statement from the following :

Which of the following is NOT a basic requirement of the linear programming problem (LPP)?

The objective function (z) to maximize the profit is: