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1. Maribel is selling regular and special juices. To make a bottle of regular juice, she needs 2 pounds of mango and 3 pounds of pineapple. On the other hand, 4 pounds of mango and 2 pounds of pineapple are needed to make a bottle of special juice. A prot of P30 is made for a bottle of regular juice and P40 for a bottle of special juice. Maribel is currently has 800 pounds of mango and 480 pounds of pineapple. She wants to make at least 180 bottles of special juice. How many bottles of each type of juice must she make to maximize her prot? How much will be her maximum prot? 2. A calculator company produces a scientic calculator and a graphing calculator. Long-term projections indicate an expected demand of at least 100 scientic and 80 graphing calculators each day. Because of limitations on production capacity, no more than 200 scientic and 170 graphing calculators can be made daily. To satisfy a shipping contract, a total of at least 200 calculators much be shipped each day. If each scientic calculator sold results in a $2 loss, but each graphing calculator produces a $5 prot, how many of each type should be made daily to maximize net prots? 3. In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed the rabbits a daily diet containing a minimum of 24 grams (9) of fat, 36 g of carbohydrates, and 4 g of protein. But the rabbits should be fed no more than ve 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 cptimal 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