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Extra Linear Programming Problems-solved

Extra Linear Programming Problems-solved - 1 In order to...

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1. In order to ensure optimal health (and thus accurate test results), a lab technician needs to give the rabbits a daily diet containing a minimum of 24 grams (g) of fat, 36 g of carbohydrates, and 4 g of protein. The rabbits should be fed no more than five ounces of food a day. Rather than order rabbit food that is custom-blended, it is cheaper to order Food X and Food Y, and blend them for an optimal mix. Food X contains 8 g of fat, 12 g of carbohydrates, and 2 g of protein per ounce, and costs $0.20 per ounce. Food Y contains 12 g of fat, 12 g of carbohydrates, and 1 g of protein per ounce, at a cost of $0.30 per ounce. What is the optimal blend? Answer: x:= Number of ounces of food X y:= Number of ounces of food Y Min 0.2x+0.3y s.t fat: 8x + 12y ≥ 24 carbs: 12x + 12y ≥ 36 protein: 2x + 1y ≥ 4 Maximum weight: x + y ≤ 5 Non-negativity: x ≥ 0 , y ≥ 0 It’s optimal to use x=3, y=0 2. You have $12,000 to invest, and three different funds from which to choose. The municipal
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