A dietitian wishes a patient to have a meal that has 42 grams of protein, 755 gr

Question

A dietitian wishes a patient to have a meal that has 42 grams of protein, 755 grams of carbohydrates, and 590 milligrams of calcium. The hospital food service tells the dietitian that the dinner for today is chicken, corn, and milk Each serving of chicken has 40 grams of protein, 35 grams of carbohydrates, and 100 milligrams of calcium. Each serving of corn has 3 grams of protein, 16 grams of carbohydrates, and 10 milligrams of calcium. Each glass of milk has S grams of protein, 13 grams of carbohydrates, and 260 milligrams of calcium. How many servings of each food should the dietitian provide for the patient? Select the correct choice below and fill in any answer boxes in yoir choice A. The patient should have _________ serving(s) of chicken, _________ serving(s) of corn, and ________ serving(s) of milk. (Simplify your answers.) B. There are infinitely many solutions.

Explanation / Answer

Let there be x chicken servings, y corn servings and z milk servings

40x+3y+8z>=42

35x+16y+13z>=75.5

100x+10y+260z>=590

Solving for x, y, z.

x=0.5

y=2

z=2

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