Food X contains 6 units of Vitamin D per gram and 7 units of Vitamin E per gram and cost is Rs 12 per…
The optimum is at x = 15 g of food X and y = 5/4 g of food Y, where both vitamin constraints hold with equality. The cost is \(12 \times 15 + 20 \times 1.25 = 180 + 25 =…
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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 minimum cost of food is :
Answer and explanation
Correct answer A
The optimum is at x = 15 g of food X and y = 5/4 g of food Y, where both vitamin constraints hold with equality. The cost is . The figure 250 is the cost of using food Y alone (12.5 g), which is feasible but dearer, and 200 is below the optimal value of the dual, so no feasible diet can cost that little.
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UGC NET Computer Science and Applications