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the variable you want to maximise or minimise (P) = each variable times the amount of P the contribute

e.g. maximise money earned

x=£3

y=£2.50

z=£4

(MAX)P=3x+2.5y+4z is the objective function

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Q: How do you find the objective function for linear programming?
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What is optimal feasible solution?

It is usually the answer in linear programming. The objective of linear programming is to find the optimum solution (maximum or minimum) of an objective function under a number of linear constraints. The constraints should generate a feasible region: a region in which all the constraints are satisfied. The optimal feasible solution is a solution that lies in this region and also optimises the obective function.


Why are integer programming problems more difficult to solve than linear programming problems?

In both cases the constraints are used to produce an n-dimensional simplex which represents the "feasible region". In the case of linear programming this is the feasible region. But that is not the case for integer programming since only those points within the region for which the variables are integer are feasible.The objective function is then used to find the maximum or minimum - as required. In the case of a linear programming problem, the solution must lie on one of the vertices (or along one line in 2-d, plane in 3-d etc) of the simplex and so is easy to find. In the case of integer programming, the optimal solution so found may contain one or more variables that are not integer and so it is necessary to examine all the points in the immediate neighbourhood and evaluate the objective function at each of these points. This last requirement makes integer programming solutions more difficult to find.


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Linear Programming is used for determining a way to find the best solution or outcome for a given mathematical model represented as a linear relationship.


What is the difference between linear and integer programming?

Integer programming is a method of mathematical programming that restricts some or all of the variables to integers. A subset of Integer programming is Linear programming. This is a form of mathematical programming which seeks to find the best outcome in such a way that the requirements are linear relationships.


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How do you find the answer to an integer problem?

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How do you graph linear functions?

A linear function is called "linear" because it represents a straight line. To graph a linear function, find two points that satisify that function, plot them, and then draw a straight line between them.


What is optimal solution?

It is usually the answer in linear programming. The objective of linear programming is to find the optimum solution (maximum or minimum) of an objective function under a number of linear constraints. The constraints should generate a feasible region: a region in which all the constraints are satisfied. The optimal feasible solution is a solution that lies in this region and also optimises the obective function.


What is the corner point solution method?

The corner point solution method is a technique used in linear programming to find the optimal solution by considering the intersection points of the constraints. It involves analyzing the extreme points or corner points of the feasible region to identify the optimal value of the objective function. This method is effective for problems with few variables and constraints.


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