A feasible region is an area defined by a set of coordinates that satisfy a system of inequalities. The region satisfies all restrictions imposed by a linear programming scenario. The concept is an optimization technique. For example, a planner can use linear programming to determine the best value obtainable under conditions dictated by several linear equations that relate to a real-life problem.
For example, consider limitations imposed by available production materials and labor and determine the optimal production levels for maximum profits under those conditions. To solve the problem mathematically, a planner first graphs the inequalities that define the production constraints and forms a feasibility region on the x, y-plane. He then pinpoints the coordinates of the corners of the region, such as the coordinates of the intersection points between any two sets of lines.
