Two models of a product - Regular (X)and Deluxe (Y)- are produced by a company.A linear programming model is used to determine the production schedule.The formulation is as follows:
Maximize profit = 50X + 60Y
Subject to: 8X + 10Y ≤ 800 (labor hours)
X + Y ≤ 120 (total units demanded)
4X + 5Y ≤ 500 (raw materials)
All variable ≥ 0
The optimal solution is X = 100, Y = 0.
Which of these constraints is redundant?
A)the first constraint
B)the second constraint
C)the third constraint
D)the fourth constraint

Question

Two models of a product - Regular (X)and Deluxe (Y)- are produced by a company.A linear programming model is used to determine the production schedule.The formulation is as follows: 
Maximize profit = 50X + 60Y
Subject to: 8X + 10Y ≤ 800 (labor hours)
X + Y ≤ 120 (total units demanded)
4X + 5Y ≤ 500 (raw materials)
All variable ≥ 0
The optimal solution is X = 100, Y = 0.
Which of these constraints is redundant?
A)the first constraint
B)the second constraint
C)the third constraint
D)the fourth constraint

Quizplus · Accepted Answer

The second constraint is redundant because it is implied by the first and third constraints.

Two Models of a Product - Regular (X)and Deluxe (Y)-