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Linear Programming - College Papers

Linear Programming

is a nonstatistical mathematical technique whereby
the maximization or minimization of a linear expresion of variables, call
the objective function, is determined in the presence of known or assumed
restrictions, call constraint.

In essence, it's a procedure for solving the problems in which there
are more variables than simultaneous equations in which the variables are
expressed.

No probability or statistics are needed to study linear programming.
The mathematics involved in linear programming is relatively easy to
understand and to manipulate in contrast to calculus. Linear equations and
inequations form the mathematical skeleton around which linear programming
is built.

...

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constraints is used to
describe the restrictions present in linear programming problem. The
constraints are expressed mathemically as inequalities. In a practical
real-world situation, the constraints are generated by the presence of
limited resources or commodities such as capital manpower and raw material.
Mathematically, inequations can be converted to equations by the
introduction of slack variables.

Linear programming can be dated from the year 1947 when G.B. Dantzing
evolved an efficent technique call the Simplex Method, for solving linear
programming problems. The following decades, the rapid development of both
the theory and applications of linear programming which were aided by the
simultaneous introduction of the electronic computers. One of the first
probelm to be solved by the simplex method was Stigler's diet problem
(1945). Here is the diet problem

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Protein ...

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Linear Programming. (2005, October 28). Retrieved September 13, 2025, from http://www.essayworld.com/essays/Linear-Programming/35586

"Linear Programming." Essayworld.com. Essayworld.com, 28 Oct. 2005. Web. 13 Sep. 2025. <http://www.essayworld.com/essays/Linear-Programming/35586>

"Linear Programming." Essayworld.com. October 28, 2005. Accessed September 13, 2025. http://www.essayworld.com/essays/Linear-Programming/35586.

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PAPER DETAILS

Added: 10/28/2005 06:19:03 AM
Category: Miscellaneous
Type: Premium Paper
Words: 534
Pages: 2

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