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The variables are usually represented by X1, X2, The objective function is a mathematical representation of the goal or objective of the problem. The most often used representation of the objective function Z is given as follows: It is important to be noted that the objective function would be either to maximize or minimize the value of the performance measure Z, that can be either a total profit or total cost or an equivalent measure.
For instance, if our objective is to optimize the total profit, then our objective function would be to Maximize the total profit i. On the other hand, if our objective is to optimize the total cost, then our objective function would be to Minimize the total cost i. The LP models are mostly used in maximizing the total profit or minimizing the total cost based on optimum use of available and profitable limited resources. This model can be used only if the constraints and the objective functions can be expressed in linear form, which is a major disadvantage of this model.
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