May also be used to solve certain engineering problems.Įxamples from economics include Leontief's input-output model, the determination of shadow prices, etc., an example of a business application would be maximizing profit in a factory that manufactures a number of different products from the same raw material using the same resources, and example engineering applications include Chebyshev approximation and the design of structures (e.g., limit analysis of a planar truss). Linear programming is extensively used in business and economics, but Linear programming theory falls within convex optimization theory and is also considered to be an important part of operations M, b], which finds a vector which minimizes the quantity subject to the constraints and for.

Linear programming is implemented in the Wolfram Language as LinearProgramming[ c, Simplistically, linear programming is the optimization of an outcome based on some set of constraints using a linear mathematical model. Linear programming, sometimes known as linear optimization, is the problem of maximizing or minimizing a linear function over a convex polyhedron specified by linear and non-negativity constraints.

Linear programming in mathematica