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Presented by,
Melvin T Mathew
Linear Programming Problem
Programming problems in general deal with
determining optimal allocation of limited resources to
meet given objectives .
A linear programming problem includes a set of
simultaneous linear equations (or inequalities) which
represent the restrictions related to the limited resources
and a linear function which expresses the objective
function representing the total profit or cost .
Definition
LP may be defined as a method of determining an optimum programme of
interdependent activities in view of available resources .
The objective in a LP is to maximise profit or minimize cost, as the case may be ,
subject to a number of limitations known as constraints .
The solution to a LP problem shows how much should be produced (or sold or
purchased ) which will optimise the objective function and satisfy the constraints.
Uses of LP
LP is a powerful quantitative technique which can be used to
solve such problems
 In production managing
 Manufacturer wants to develop production schedule
 For marketing manager
Linear programming problem

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Linear programming problem

  • 1. Presented by, Melvin T Mathew Linear Programming Problem
  • 2. Programming problems in general deal with determining optimal allocation of limited resources to meet given objectives . A linear programming problem includes a set of simultaneous linear equations (or inequalities) which represent the restrictions related to the limited resources and a linear function which expresses the objective function representing the total profit or cost .
  • 3. Definition LP may be defined as a method of determining an optimum programme of interdependent activities in view of available resources . The objective in a LP is to maximise profit or minimize cost, as the case may be , subject to a number of limitations known as constraints . The solution to a LP problem shows how much should be produced (or sold or purchased ) which will optimise the objective function and satisfy the constraints.
  • 4. Uses of LP LP is a powerful quantitative technique which can be used to solve such problems  In production managing  Manufacturer wants to develop production schedule  For marketing manager