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A house wife wishes to mix together two ...

A house wife wishes to mix together two kinds of food, X and Y in such a way that the mixture contains at least 10 units of vitamin A,12 units of of vitamin B and 8 units of vitamin C. The vitamin contents of one kg of food are given below:

One kg of food X costs 6 and one kg of food of food Y costs 10. Find the least cost of the mixture which will produce the diet.

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A dietician wishes to mix together two kinds of food X and Y in such a way that the mixture contains at least 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contents of 1 kg food is given below: 1 kg of food X costs Rs. 16 and 1 kg of food Y costs Rs. 20. Find the least cost of the mixture which will produce the required diet?

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A woman wishes to mix two types of foods in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and at least 10 units of vitamin C. Food I contains 2 units/kg of vitamin A and 1 unit /kg of vitamin C. Food II contains 1 unit/kg of vitamin A and 2 unit/kg of vitamin C. The cost of food I is Rs. 50/kg and of food II is Rs. 70/kg. Find the minimum cost of such a mixture.

A dietician wishes to mix two types of food in such a way that the vitamin contents of the mixture contain at least 8 units f Vitamin A and 10 units of vitamin C, Food ‘I’ contains 2 units per kg of vitamin A and 1 unit per kg of vitamin C while food ‘II’ contains 1 unit per kg of vitamin A and 2 units per kg of vitamin C. It costs Rs 50.00 per kg to purchase food ‘I’ and Rs. 70.00 per kg to produce food ‘II’. Formulate the above linear programming problem to minimize the minimize the cost of such a mixture.