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 dual of the formulated LPP is :
1
Max Z = 100u +120v
s.t
6u + 7v ≤ 12
8u + 12 v ≤ 20
u, v ≥ 0
2
Max Z = 12u + 20u
s.t
6u + 7v ≤ 100
8u + 12 v ≤ 120
u, v ≥ 0
3
Max Z = 100u +120v
s.t
6u + 7v ≤ 12
8u + 7 v ≤ 20
u, v are unrestricted
4
Max Z = 100u + 120v
s.t
6u + 7v ≥ 12
8u + 12 v ≥ 20
u, v ≥ 0