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.
How many units of the regular model would be produced based on this solution?
A)0
B)100
C)50
D)120

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.
How many units of the regular model would be produced based on this solution?
A)0
B)100
C)50
D)120

Quizplus · Accepted Answer

Based on the optimal solution, only the Regular (X) model is produced with 100 units. The production of the Deluxe (Y) model is zero as it does not contribute to the optimal profit. Therefore, the best choice is to produce only the Regular (X) model with 100 units.

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