List of top Mathematics Questions on Linear Programming asked in Bihar Board XII

The maximum value of \( Z = 2x + y \) subject to the constraints \[ x + y \leq 35, \quad x \geq 0, \quad y \geq 0 \] is.

The maximum value of \( Z = 3x - y \) subject to the constraints \[ x + y \leq 8, \quad x \geq 0, \quad y \geq 0 \text{ is}. \]

Minimize \[ Z = 2x + y, \] subject to \[ 5x + 10y \le 50, \quad x + y \ge 1, \quad y \le 4, \quad x \ge 0, \quad y \ge 0. \]

Maximize \[ Z = 20x + 3y, \] subject to the constraints: \[ 3x + 2y \leq 10, \quad x \geq 0, \quad y \geq 0. \]

The minimum value of \( Z = 3x + 5y \) subject to the constraints: \[ x + y \leq 2, \quad x \geq 0, \quad y \geq 0 \] is:

The maximum value of \( Z = 3x + 2y \) subject to the constraints: \[ 3x + y \leq 15, \quad x \geq 0, \quad y \geq 0 \] is: