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The Cambridge Diet supplies .8 g of calcium per day, in addition to the nutrients listed in Table 1 for Example 1. The amounts of calcium per unit (100 g) supplied by the three ingredients in the Cambridge Diet are as follows: 1.26 g from nonfat milk, .19 g from soy flour, and .8 g from whey. Another ingredient in the diet mixture is isolated soy protein, which provides the following nutrients in each unit: 80 g of protein, 0 g of carbohydrate, 3.4 g of fat, and .18 g of calcium.a. Set up a matrix equation whose solution determines the amounts of nonfat milk, soy flour, whey, and isolated soy protein necessary to supply the precise amounts of protein, carbohydrate, fat, and calcium in the Cambridge Diet. State what the variables in the equation represent.b. [M] Solve the equation in (a) and discuss your answer.

(a) $\left[\begin{array}{cccc}{36} & {51} & {13} & {80} \\ {52} & {34} & {74} & {0} \\ {0} & {7} & {1.1} & {3.4} \\ {1.26} & {0.19} & {0.8} & {0.18}\end{array}\right]\left[\begin{array}{c}{x_{1}} \\ {x_{2}} \\ {x_{3}} \\ {x_{4}}\end{array}\right]=\left[\begin{array}{c}{33} \\ {45} \\ {3} \\ {0.8}\end{array}\right]$(b) $x_{1}=0.64135, x_{2}=0.54412, x_{3}=-0.09257,$ and $x_{4}=-0.20794$

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 10

Linear Models in Business, Science, and Engineering

Introduction to Matrices

Oregon State University

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

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Okay, so you use appropriate for your signed the variable in this way, use for wearables to denote the amount off the food. According to the table. In a textbook, we can ride out, assist off Damiri questions in its magics form like this. So if calculator we have love following solutions. But in this solution, you see that X three and X for a negative. Which doesn't make sense, because, um, this problem is a re award program. Um, this negative results are not allowed now. Music. It's not. It's impossible to find out a combination off this food, such that the nutrition satisfy is, um, target.

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