Chapter 6.3, Problem 2P

Explanation of Solution

New optimal solution

• Let ${\text{x}}_{\text{1}}$ be the number of desks produced, ${\text{x}}_{\text{2}}$ be the number of tables produced and ${\text{x}}_{\text{3}}$ be the number of chairs produced.
• Let ${\text{c}}_{\text{i}}$ be the right hand side of the optimal table’s constraints.
• For a maximization problem, the new optimal value = (old optimal value) + (Constraint i’s shadow price).
• For a minimization problem, the new optimal value = (old optimal value) – (Constraint i’s shadow price).
• If the right hand side of the constraint is changed to 55, then the current solution will be optimal but it increases