![]() Artificial variables allow two types of restrictions or constraints to be treated: the equal-to type and the greater-than-or-equal-to type. I addition to the slack variables, a different type of variable known as and artificial variable is introduced. The steps towards a solution in the cost minimization problem are similar to those taken in the contribution margin maximization example where the simplex method is used and slack variables are introduced in order to arrive at the first feasible solution which give a zero contribution margin. A simple procedure is needed to generate an optimal solution no matter how complex the problem. In more realistic problems, a solution may not be obvious, especially if there are many ingredients each having constraints. ![]() Then enough y, or 28 gallons, should be used to obtain the desired total quantity of 40 gallons. Since x is cheaper, as much of it as possible should be used, i. The cost function objective can be written as. An example can help us explain the procedure of minimizing cost using linear programming simplex method. Linear programming simplex method can be used in problems whose objective is to minimize the variable cost.
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