As a poor college student who is trying to stretch every dollar as far is it can

Question

As a poor college student who is trying to stretch every dollar as far is it can go, you need to make important choices about what you eat. Your goal is to minimize the total amount of money that you spend on food each day, but to make choices that still provide you with enough calories so that you have the energy to study hard (for 3080). You have the choice between ice cream, ramen noodles, and oranges. Every cup of ice cream costs $1.00 and is 200 calories. Every package of ramen noodles costs $0.10 and provides 371 calories. Every individual orange costs $0.50 and provides 37 calories. In order to get the proper amount of nutrition each day, you must eat at least two oranges, one package of ramen, and 0.5 cups of ice cream. In order to have enough energy to study hard for 3080, you need to eat at least 1800 calories each day. Let X1 represent the cups of ice cream that you eat each day, X2 equal the number of packages of ramen noodles that you eat each day, and X3 equal the number of oranges that you eat each day. With the end of the semester upon you and stress running high, your doctor (M.D., not Ph.D.) is worried about your blood pressure. She tells you that you can only consume exactly 500 calories from ramen noodles, because they are high in sodium. Assume that you can eat fractions of a cup, of a package, and of an orange each day without spoilage or loss. That is, if you only eat 0.687 of an orange today, you can eat the remaining 0.313 of the orange tomorrow. How many calories should you consume each day from ice cream? (round your answer to the nearest whole number) How many calories should you consume each day from oranges? (round your answer to the nearest whole number) How much will this diet cost you, on average, each day? $ (round your answer to the nearest tenth: x.x)

Explanation / Answer

1) 778

2) 522

3) $15.91

X1 $1 200 0.5 778 3.89 3.89 X2 $.10 371 1 500 0.258 0.0258 X3 $0.5 87 2 522 6 12 3080 1800 15.91

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