Directions (Q91–95): Food X contains 6 units of vitamin D per gram and 7 units of vitamin E per gram and costs Rs 12 per gram. Food Y contains 8 units of vitamin D per gram and 12 units of vitamin E per gram and costs Rs 20 per gram. The daily minimum requirements of vitamin D and E are 100 units and 120 units respectively. Let x be the quantity (in grams) of food X and y the quantity (in grams) of food Y.
Which of the following are the constraints when formulating the LPP?
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Correct answer: D. 6x + 8y ≥ 100, 7x + 12y ≥ 120, x, y ≥ 0
Explanation
Vitamin D: 6x + 8y ≥ 100; vitamin E: 7x + 12y ≥ 120; x, y ≥ 0 (minimum requirements give ≥ constraints).More Discrete Structures and Optimisation questions
- What are the quantities (in grams) of food X and Y respectively when the cost of food is minimum?
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