Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Mathematical Science LPP, Simplex Methods, Duality
Comprehension Passage
A company manufactures two products, A and B. Each unit of Product A requires 3 hours in Workshop X and 1 hour in Workshop Y. Each unit of Product B requires 2 hours in Workshop X and 2 hours in Workshop Y. The profit per unit on Product A is $30, and the profit per unit on Product B is $40. If Workshop X is available for 18 hours per day and Workshop Y for 8 hours per day
The correct constraints of this question is:
1
A + 2B ≤ 18, 3A + 2B ≤ 8, A, B ≥ 0
2
3A + 2B ≤ 30, A + 2B ≤ 40, A, B ≥ 0
3
3A + B ≤ 18, 2A + 2B ≤ 8, A, B ≥ 0
4
3A + 2B ≤ 18, A + 2B ≤ 8, A, B ≥ 0