Question

Identify and write all the constraints which determine the given feasible region in Figure-2.

Hint:

In linear programming, clearly write down all constraints derived from the problem statement. These inequalities define the feasible region for optimization.

Answer 1

The given constraints for the linear programming problem are: \[ \boxed{ \begin{aligned} 3x + y &\leq 8, \\ x + y &\geq 4, \\ 4x + 5y &= 28, \\ 2x + y &\geq 10, \\ x &\geq 0, \\ y &\geq 0. \end{aligned} } \]