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A fanner mixes two brands P and Q of cattle feed. Brand P, costing Rs 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs 200 per bag contains 1.5 units of nutritional el

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The correct Answer is:
3 bags of brand P and 6 bags of brand Q;Min.cost = ₹ 1950.
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A farmer mixes two brands P and Q of cattle feed. Brand P costing Rs. 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs. 200 per bag contains 1.5 units of nutritonal element A, 11.25 units of element B and 3 units of element C. The minimum requirements of nutrients A,B and C are 18 units, 45 units and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag?

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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.

A diet for a sick person must contain at least 4000 units of vitamins, 50 units of minerals and 1400 units of calories. Two foods A and B are available at a cost of Rs. 5 and Rs. 4 per unit respectively. One unit of food A contains 200 units of vitamins, 1 unit of minerals and 40 units of calories whereas one unit of food B contains 100 units of vitamins, 2 units of minerals and 40 units of calories. Find what combination of the food A and B should be used to have least cost but it must satisfy the requirements of the sick person.

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Diet of a sick person must contains at least 4000 units of vitamins, 50 units of minerals and 2500 calories. Two foods F_(1) and F_(2) cost Rs. 50 and Rs. 75 per unit respectively. Each unit of food F_(1) contains 200 units of vitamins, 2 units of minerals and 40 calories , F_(2) contains 100 units of vitamins, 3 units of minerals and 35 calories. Formulate the above problem as LPP to fulfil sick person's requirements at minimum cos.

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