Question

In a graphical solution, the feasible region is:

• A. where all the constraints are satisfied simultaneously.
• B. any one constraint is satisfied.
• C. only the first constraint is satisfied.
• D. any one of the above condition.

Answer 1

The correct option is A where all the constraints are satisfied simultaneously.

In graphical solution, the feasible region is the set of all possible points that satisfy the problem's constraints including inequalities, equalities and integer constraints.

In the above figure, the blue shaded region is the feasible region. The feasible region is the intersection of the given constraints ($4x+3y\le 480$ and $2x+3y\le 360$). I.e., this region contains all the points which satisfy the given constraints.