TRUE/FALSE. in order for a linear programming problem to have a unique solution, the solution must exist group of answer choices at the intersection of two or more constraints. at the intersection of the objective function and a constraint. at the intersection of a non-negativity constraint and a resource constraint. at the intersection of the non-negativity constraints.

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13-12-2022
Computers and Technology

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TRUE/FALSE. in order for a linear programming problem to have a unique solution, the solution must exist group of answer choices at the intersection of two or more constraints. at the intersection of the objective function and a constraint. at the intersection of a non-negativity constraint and a resource constraint. at the intersection of the non-negativity constraints.

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ANKITANAND ANKITANAND · Answer 1 · 2022-12-19T06:07:23+01:00

It is true that in order for a linear programming problem to have a unique solution, the solution must exist at the intersection of two or more constraints.

What is linear programming?

Linear programming (LP), also known as linear optimization, is a method for achieving the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a subset of mathematical programming (also known as mathematical optimization).

Linear programming is a technique for optimizing a linear objective function subject to linear equality and linear inequality constraints. Its feasible region is a convex polytope, which is a set defined as the intersection of a finite number of half spaces, each of which is defined by a linear inequality. Its objective function is a real-valued affine (linear) function defined on this polyhedron.

Hence, it is true that in order for a linear programming problem to have a unique solution, the solution must exist at the intersection of two or more constraints.

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