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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 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?

Text Solution

AI Generated Solution

To solve the problem of determining how many bags of each brand (P and Q) the farmer should mix to minimize costs while meeting nutritional requirements, we can follow these steps: ### Step 1: Define Variables Let: - \( x \) = number of bags of brand P - \( y \) = number of bags of brand Q ### Step 2: Set Up the Cost Function ...
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