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welcome in this tutorial we calculate slack and surplus variables identify binding constraints and write the linear programming model in standard form lets begin with this LP model here is a graph of the model showing the constraint line and the feasible region the optimal solution occurs at the intersection of the first two constraints at the point x equals 24 and y equals 12 the constraints that taught your intersect at the optimal solution point are called binding constraints so the first two constraints are binding and the third one is non binding now lets see what happens when we plug the optimal solution point into the left-hand side of each constraints for resource 1 plugging in x equals 24 and y equals 12 gives 60 so the left side equals the right side this tells us that resource 1 was fully utilized at optimal solution that is there is no slack the term slack refers to the amount of a resource that is unused and it applies only to less than or equal to constraints it is bas
