Definition of a Non-Binding Constraint If the availability of an additional unit of a resource has no effect on the production plan, then that constraint is said to be non-binding Definition shadow cost The Shadow Cost of a resource is the additional profit generated by an additional unit of that resource Example: WOOD is a Non-Binding Constraint and definitionally non-binding constraints have a Shadow Cost =0
Definition of a Non-Binding Constraint – If the availability of an additional unit of a resource has no effect on the production plan, then that constraint is said to be non-binding. Definition Shadow Cost – The Shadow Cost of a resource is the additional profit generated by an additional unit of that resource. – Example: WOOD is a Non-Binding Constraint and definitionally non-binding constraints have a Shadow Cost = 0
Machine-Time constraint 2X+1Y≤50 Let rhs50→51or49 The optimal solution change (X,Y)=(10,30)(XY)=(11,29) Change=(l, -1) WOOD CONSTRAINT 09 MACHINE TIME SONSTRAINT POLISHING CONSTRAINT 00 15 25 30 No. Tables
Machine-Time constraint – 2X + 1Y 50 – Let RHS 50 → 51 or 49 – The optimal solution change. – (X,Y) =(10,30) →(X,Y)=(11,29) – Change=(1,-1)