CBSE Class 12 Mathematics — Linear Programming

The feasible region of a linear programming problem with objective function $Z = 5x + 7y$ is shown below. The maximum value of Z - minimum value of Z is

The degree of an objective function of a linear programming problem is

Solve the following linear programming problem graphically: Minimize $Z = 13x - 15y$ subject to constraints $x + y \le 7$, $2x - 3y + 6 \ge 0$, $x \ge 0$, $y \ge 0$.