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nutrient peanuts raisins
serving size=1 cup serving size 1 cup
calories(g) 850 440
protein(g) 34.57 4.67
fat(g) 72.50 .67
carbohydrates(g) 31.4 114.74
Suppose that you want to make at most 6 cups of trail mix for a day hike. you dont want eith ingredient to dominate the mixture, so you want the amount of raisins to be at least 1/2 of the amount of the peanuts and the amount of peanuts to be at least 1/2 of the amount of the raisins. you want entire amount of the trail mix you make to have fewer than 4000 cal and you want to maximize the amount of carbs in the mix.
1.let x be the number of cups of peanut you will use let y be the number of cups of raisins you will use, and let c be the amount of carbs in the mix. find the object function.
2 what constrains must be placed in the object function?
3find the number of cups of peanuts and raisins that maximize the amount of the carbs in the mix
4 how many grams of carbs are ina cup of the final mix? how many calories
5 suppose yo decide to eat at least 3 cups of the trail mix. keeping all constains given before what recipe for trail mix will minimize the amount of fat in the mix?
6how many grams if carbs
7how many grams of proteins
8which of the three trail mixes would you s? why?
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