Nutrition The number of grams of your favorite ice cream can be modeled byGx, y, z

Chapter 7, Problem 46

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Nutrition The number of grams of your favorite ice cream can be modeled byGx, y, z 0.05x2 0.16xy 0.25z2where is the number of fat grams, is the number of carbohydrate grams, and is the number of protein grams. Use Lagrange multipliers to find the maximum number of grams of ice cream you can eat without consuming more than 400 calories. Assume that there are 9 calories per fat gram, 4 calories per carbohydrate gram, and 4 calories per protein gram.

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