List of top Mathematics Questions on Linear Programming asked in CBSE CLASS XII

Solve the following Linear Programming Problem graphically :
Maximise $Z = 12x + 18y$
subject to the constraints \[ x + y \le 1200, \quad x - 2y \ge 0, \quad x + 3y \ge 600, \quad x \ge 0, \, y \ge 0 \]

Solve the following linear programming problem graphically: Maximize \( Z = 8000x + 12000y \) subject to the boundary constraints: \( 3x + 4y \le 60 \), \( x + 3y \le 30 \), with non-negativity restrictions \( x \ge 0, y \ge 0 \).

In a linear programming problem, the linear function which has to be maximized or minimized is called:

For a feasible region bounded by the corner points $(0,3)$, $(3,2)$, and $(5,0)$ in the first quadrant, the non-trivial constraints of the linear programming problem are:

Solve the following linear programming problem graphically:
Maximize \[ Z = 8000x + 12000y \] Subject to the constraints
\[ 3x + 4y \le 60 \] \[ x + 3y \le 30 \] \[ x \ge 0,\; y \ge 0 \]

In a linear programming problem, the linear function which has to be maximized or minimized is called