Finite Mathematics Quiz
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MATRICES AND LINEAR ALGEBRA TOOLS
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A dietician is planning a meal consisting of three foods: Food 1, Food 2, and Food 3. Each unit of Food 1 contains 10g of protein, 20g of carbohydrates, and 5g of fat. Each unit of Food 2 contains 15g of protein, 10g of carbohydrates, and 10g of fat. Each unit of Food 3 contains 20g of protein, 25g of carbohydrates, and 8g of fat. The meal must provide exactly 215g of protein, 290g of carbohydrates, and 121g of fat. Let x1,x2x_1, x_2, and x3x_3 be the number of units of each food, respectively. If this system is modeled by the matrix equation AX=BAX = B, what is the coefficient matrix AA?
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