Linear Programming Basic Concepts and Problem Formulation LPP MATHEMATICAL FROMULATION

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In this video we will learn about linear programming basic concepts and problem formulation in operation research in hindi. • MATHEMATICAL FORMULATION IN LPP. • Linear programming deals with the optimization of a function of variables known as objective function, subject to a set of linear equation and/or inequalities known as constraints. • The objective function may be profit, cost, production capacity or any other measure of effectiveness, which is to be obtained in the best possible or optimal manner. • The constraints may be different resources such as availability of raw material, storage capacity, man power, machine capacity, time etc. • By linear, we mean a mathematical expression of the type a1x1 + a2x2 + …. + anxn, where a1, a2, …, an are constants and x1, x2 … xn are variables. • By programming, we mean modelling and solving a problem mathematically that involve economic allocation of limited resources to achieve desired objective. • PROBLEM 1:- • A firm produces three products A, B, C, each of which passes through three departments: Fabrication, Finishing and Packaging. Each unit of product A requires 3, 5 and 2; a unit of product B requires 4, 4 and 4, while each unit of product C requires 2, 4 and 5 hours respectively in three departments everyday 180 hours are available in: Fabrication department, 216 hours in the Finishing department and 300 hours in the Packaging department. If unit contribution of product A is Rs. 15, of product B is Rs. 30 and of product C is Rs.24. Formulate the problem as L.P.P. to maximize contribution. • PROBLEM 2: • The standard weight of special purpose brick is 5 kg and it contain two basic ingredients B1 and B2. B1 costs Rs. 5 per kg and B2 costs Rs. 8 per kg. Strength consideration dictate that the brick should contain not more than 4 kg of B1 and a minimum 2 kg of B2. Since the demand for the product is likely to be related to the price of the brick. Formulate LPP so as to minimize cost of brick. • click for Graphical method by LPP • • 01 l Graphical Method in LPP in Hindi... • Click this link for simplex method • • SIMPLEX METHOD ( LPP) IN EASY WAY IN... • Click this link for dual simplex method • • LPP : Dual Simplex Method in Easy way... • Click this link for Big M Method • • Big-M Method (LPP) in Easy Way in Hindi • Click this link for two phase simplex method • https://www.youtube.com/watch?v=4RVrh... • Click this link for Degeneracy in simplex method ( tie for minimum ratio) • https://www.youtube.com/watch?time_co... • Click this link for Unbounded solution in simplex method • https://www.youtube.com/watch?v=z1N00... • Click this link for Infeasible solution in simplex method • https://www.youtube.com/watch?v=naPWK... • Click this link for Revised Simplex Method • https://www.youtube.com/watch?v=yBS5o... • Thanks and Regards • Team BeingGourav.com • ~-~~-~~~-~~-~ • Please watch: UNBALANCED ASSIGNMENT PROBLEM IN OPERATION RESEARCH | USING HUNGARIAN METHOD | Lecture 03 • • Unbalanced Assignment Problem | Using... • ~-~~-~~~-~~-~

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