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A farmer mixes two brands P and Q of cat...

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 pre bag contains 1.5 units of nutritional 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, 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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