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In this video, Ill talk about binding and nonbinding constraints in LP problems. A constraint is binding if the LHS and RHS of the constraint are equal at the optimal solution. Otherwise, it is nonbinding. Lets check this example. It has two constraints (C1 and C2) and two sign restrictions (S3 and S4). Using the graphical method we can find that the slope of the objective function is -3. If we move the line towards the top-right corner, this is the last point before leaving the feasible region. So it is the optimal solution. x1=4.5 and x2=0. Lets plug these values into the constraints and sign restrictions. For C1, we have 2*4.5+0=9, which is equal to the RHS. So C1 is binding. For C2, we have 4.5+2*0=4.5, which is less than the RHS. So C2 is nonbinding. For S3, we have 4.5 0, which is the RHS. So S3 is nonbinding. For S4, we have 0 = 0, which is the RHS. So S4 is binding. We can also tell whether a constraint is binding or not directly from this figure. If the optimal solution