Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Mathematical Science LPP, Simplex Methods, Duality
Comprehension Passage
Food X contains 6 units of Vitamin D per gram and 7 units of Vitamin E per gram and cost is Rs 12 per gram. Food Y contains 8 units of vitamin D per gram and 12 units of Vitamin E per gram and cost is Rs 20 per gram. The daily minimum requirements of vitamin D and E are 100 units and 120 units respectively.
Suppose x is quantity (in gram) of food X, y is quantity (in gram) of food Y. Answering the following question based on the above paragraph given.
Which of the following constrains when formulating the LPP ?
1
6x + 7y ≤ 100, 8x + 12y ≤ 120, x, y ≥ 0
2
6x + 8y ≤ 100, 7x + 12y ≤ 120, x, y ≥ 0
3
6x + 7y ≥ 100, 8x + 12y ≥ 120, x, y ≥ 0
4
6x + 8y ≥ 100, 7x + 12y ≥ 120, x, y ≥ 0