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

question 60

Multiple Choice

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

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