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It is usually the answer in linear programming. The objective of linear programming is to find the optimum solution (maximum or minimum) of an objective function under a number of linear constraints. The constraints should generate a feasible region: a region in which all the constraints are satisfied. The optimal feasible solution is a solution that lies in this region and also optimises the obective function.
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Which of these branches of mathematics to obtain an optimal best solution to a problem that can be stated in a mathematical form?
There are no branches listed to select from!
Why a feasible region is the unshaded region?
i know that a feasible region, is the region which satisfies all the constraints but i don't know exactly why is the unshaded region regarded as a feasible region instead of the shaded region.
What are the characteristics of integer programming problems?
The algorithms to solve an integer programming problem are either through heuristics (such as with ant colony optimization problems), branch and bound methods, or total unimodularity, which is often used in relaxing the integer bounds of the problem (however, this is usually not optimal or even feasible).
What is the value of 6x 5y at point D in the feasible region?
Given definitions, or descriptions at least, of "point D" and "the feasible region",I might have had a shot at answering this one.
What is the definition of the solution of linear inequalities?
Each linear equation is a line that divides the coordinate plane into three regions: one "above" the line, one "below" and the line itself. For a linear inequality, the corresponding equality divides the plane into two, with the line itself belonging to one or the other region depending on the nature of the inequality. A system of linear inequalities may define a polygonal region (a simplex) that satisfies ALL the inequalities. This area, if it exists, is called the feasible region and comprises all possible solutions of the linear inequalities. In linear programming, there will be an objective function which will restrict the feasible region to a vertex or an edge of simplex. There may also be a further constraint - integer programming - where the solution must comprise integers. In this case, the feasible region will comprise all the integer grid-ponits with the simplex.
