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 objective function of the LPP is the total cost, which is to be minimised. Food X costs Rs 12 per gram and food Y Rs 20 per gram, so \(Z = 12x + 20y\). The vitamin…
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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 cost funtion of total food is :
Answer and explanation
Correct answer C
The objective function of the LPP is the total cost, which is to be minimised. Food X costs Rs 12 per gram and food Y Rs 20 per gram, so . The vitamin figures (6, 7, 8 and 12 units) belong in the constraints, not in the cost function, and reversing the two prices gives the wrong cost.
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UGC NET Computer Science and Applications