Math Case study

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Abstract

In this , the following are to be achieved . One , an explanation of how the method of linear programming works , and two , using linear programming techniques to come up with the values of X1 and X2 that satisfy the constraints in the case given and make comments on the results of the solutions and linear programming approach

Introduction

This is a case in linear programming that requires maximization of the function 3x1 2x2 which is also called the objective function [Lucey 2002]

subject to the set of constraints given as follows : 3 x1 x2 9 , x1 3 x2 7 , - x1 x2 0 and integer . To solve this case the will take the approach of graphically presented linear program to find the mathematical solution

Literature Review

The graphical method of linear programming is a graphical method which is used to solve cases that have two unknown variables whose specific values should be found [Lucey , 2002] . For cases that have three or more variables , more superior methods like the Simplex method [Weber , 1976] are used . The graphical method is the simplest of all , but the more superior methods are more accurate

For a simple linear programming process to succeed there are to be several requirements [Lucey , 2002] . These are a ) the constraints , b ) the type of problem should be clear- is it a maximization or a minimization problem , and c ) The nature of the variables is known

The constraints : these are...