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(Diet problem): A dietician wishes to...

(Diet problem): A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain atleast 8 units of vitamin A and 10 units of vitamin C. Food "I" contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C.

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The correct Answer is:
The minimum cost = ₹ 380 when 2 kg of food I and 4kg of food II are mixed.
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A dietician wishes to mix two types of foods in such a way that the vitamin contents of the mixture contains at least 8 units of vitamin A and 10 units of vitamin C. Food I contains 2 units/kg of vitamin A and 1 units/kg of vitamin C while Food II contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs.5 per kg to purchase Food I and Rs.7 per kg to purchase Food II. Determine the minimum cost of such a mixture. Formulate the above as a LPP and solve it graphically.

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 of 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 5 per kg to purchase food I and Rs 7 per kg to purchase food II . Identify the objective function so as to minimize the cost of 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.

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain at leat 8 units of vitamin A and 11 units of vitamin B. Food P cost Rs. 60/kg and Food Q costs Rs. 80/kg. Food P contains 3 units/kg of vitamin A and 5 units/kg of Vitamin B while food Q contains 4 units/kg of vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture.

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 11 units of vitamin B. Food P costs Rs 60 / kg and Food Q costs Rs 80 / kg. Food P contains 3 units/kg of Vitamin A and 5 units / kg of Vitamin B while food Q contains 4 units "kg of Vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture.

A dietician wishes ot mix two type of item in such a way that the mixture contians at least 9 units of vitamin A and at least 15 units of vitamin C. Item (1) unit/kg of vitamin A and 3 units/kg of vitamin C while item (2) contains 3 units/ kg of vitamin C while item (2) contains 3 units/ kg of vitamin A and 5 units/kg of vitamin C. Item(1) cost Rs. 6.00/kg and item (2) costs Rs. 9.00/kg. Formulate the above information as a linear programming problem.

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