A dietitian at a hospital wants a patient to have a meal that has 93 grams of protein, 125 grams of carbohydrates and 101 milligrams of vitamin A. The hospital food service tells the dietician that the dinner for today is salmon steak, baked eggs, and acorn squash. Each serving of salmon steak has 30 grams of protein, 10 grams of carbohydrates, and 1 milligram of vitamin A. Each serving of baked eggs contains 10 grams of protein, 3 grams of carbohydrates, and 15 milligram of vitamin A. Each serving of acorn squash has 2 grams of protein, 25 grams of carbohydrates, and 37 milligram of vitamin A. Find the augmented matrix of the corresponding linear system that solves for x (amount of salmon steak), y (amount of baked eggs), and z (amount of acorn squash).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
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Write the augmented matrix for the given system.

A dietitian at a hospital wants a patient to have a meal that has 93 grams of protein, 125 grams of carbohydrates and 101 milligrams of vitamin A. The hospital food service tells the dietician that the dinner for today is salmon steak, baked eggs, and acorn squash. Each serving of salmon steak has 30 grams of protein, 10 grams of carbohydrates, and 1 milligram of vitamin A. Each serving of baked eggs contains 10 grams of protein, 3 grams of carbohydrates, and 15 milligram of vitamin A. Each serving of acorn squash has 2 grams of protein, 25 grams of carbohydrates, and 37 milligram of vitamin A. Find the augmented matrix of the corresponding linear system that solves for x (amount of salmon steak), y (amount of baked eggs), and z (amount of acorn squash).

 

 

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