Assuming Z and Y are the two control variables, the following are the constraints laid out for maximizing the profit: Maximize profit (P) = 8X – 5Y Subject to Constraint-1: 2X + Y ≤ 1000 Constraint-2: 3X + 4Y ≤ 2400 Constraint-3: X + Y ≤ 800 Constraint-4: X – Y ≤ 350 Constraint-5: X ≥ 0 Constraint-6: Y ≥ 0 Which of the above constraints is a redundant one and does not have any effect on the solution?
Assuming Z and Y are the two control variables, the following are the constraints laid out for maximizing the profit: Maximize profit (P) = 8X – 5Y Subject to Constraint-1: 2X + Y ≤ 1000 Constraint-2: 3X + 4Y ≤ 2400 Constraint-3: X + Y ≤ 800 Constraint-4: X – Y ≤ 350 Constraint-5: X ≥ 0 Constraint-6: Y ≥ 0 Which of the above constraints is a redundant one and does not have any effect on the solution? Correct Answer Constraint-3
Calculation:
If the given constraints are drawn graphically then,
[ alt="F1 M.J Madhu 26.05.20 D5" src="//storage.googleapis.com/tb-img/production/20/05/F1_M.J_Madhu_26.05.20_D5.png" style="width: 393px; height: 465px;">
From the graph it can be seen that the constraint X + Y ≤ 800 does not becomes the part of the feasible region therefore it is a redundant constraint.