Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science LPP, Simplex Methods, Duality
Assume that a company manufactures two kinds of products: X and Y. For each unit of product X, the company spends two hours on machine A and three hours on machine B. For each unit of product Y, the company spends four hours on machine A and one hour on machine B. The profit per unit for products X and Y are $50 and $40 respectively. The company can use machine A for up to 16 hours and machine B for up to 9 hours. Which of the following is the correct option for maximizes the company's profit?
1
Maximize P = 50X + 40Y;
Subject to 2X + 4Y ≤ 16, 3X + Y ≤ 9, and X ≥ 0, Y ≥ 0
2
Maximize P = 50X + 40Y;
Subject to 3X + 2Y ≤ 16, 4X + Y ≤ 9, and X ≥ 0, Y ≥ 0
3
Maximize P = 50X + 40Y;
Subject to 2X + 4Y ≤ 16, 3X + Y ≤ 9, and X ≤ 0, Y ≤ 0
4
Maximize P = 50X + 40Y;
Subject to 2X + 3Y ≤ 16, 3X + 4Y ≤ 9, and X ≥ 0, Y ≥ 0
5
Question Not Attempted