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.
The cost funtion of total food is :
1
Z = 6x + 7y
2
Z = 8x + 12y
3
Z = 12x + 20y
4
Z = 20x + 12y