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LINEAR PROGRANNING-508
•DEFINITION OF LINEAR
PROGRAMMING
•WHY WE STUDY LINEAR
PROGRAMMING
•APPLICATION AREA OF LINEAR
PROGRAMMING
LECTURE -2
Linear Programming
Definition
 It is the method of determining an optimum
program , interdependent activities in view of
available resources.
 Linear – implies that all relationships involved in a
particular problem which can be solved by this
method are linear
 Programming- refers to the process of determining
particular program or plan of action.
Basic requirements of LP
 Objective function
 Constraints or restrictions
 Alternate courses of action
 Non negativity constraints
Applications
 Production
 Marketing
 Personnel
 Efficient production patterns
 Opportunity costs
 Diet problems
 Blending problems
 Farm planning
Why we study LP ???
 We can handle more complex problems compared to
budgeting technique
 Real life problems can be solved and we can get
optimal farm plans
 It also gives value of resources
 Sensitivity analysis
 Easy processes.
Conditions that must be satisfied for LP
 Well defined objective function
 There must be restrictions on amount or extent of
attainment of objectives
 There must be alternative courses of action
 Decision variable should be interrelated and non
negative
 These resources must be in limited supply.
Applications of linear Programming

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Applications of linear Programming

  • 1. LINEAR PROGRANNING-508 •DEFINITION OF LINEAR PROGRAMMING •WHY WE STUDY LINEAR PROGRAMMING •APPLICATION AREA OF LINEAR PROGRAMMING LECTURE -2
  • 2. Linear Programming Definition  It is the method of determining an optimum program , interdependent activities in view of available resources.  Linear – implies that all relationships involved in a particular problem which can be solved by this method are linear  Programming- refers to the process of determining particular program or plan of action.
  • 3. Basic requirements of LP  Objective function  Constraints or restrictions  Alternate courses of action  Non negativity constraints
  • 4. Applications  Production  Marketing  Personnel  Efficient production patterns  Opportunity costs  Diet problems  Blending problems  Farm planning
  • 5. Why we study LP ???  We can handle more complex problems compared to budgeting technique  Real life problems can be solved and we can get optimal farm plans  It also gives value of resources  Sensitivity analysis  Easy processes.
  • 6. Conditions that must be satisfied for LP  Well defined objective function  There must be restrictions on amount or extent of attainment of objectives  There must be alternative courses of action  Decision variable should be interrelated and non negative  These resources must be in limited supply.