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

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 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`, `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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