3. A wine producer has three wine varieties at various alcohol concentrations. Variety A has 10 % alcohol Taritey B has 20% alcohol and variety C has 12% alcohol. How many milliliters of each variety should she use to make 750 ml bottle of wine of 12% alcohol, if she must use 4 times as much of the variety A the variety C? Set up a system of linear equations to determine how many millimeters of each variety we use. Letx be the number of millimeters of variety A, y be the number of millimeters of variety B ar z be the number of millimeters of variety C. Make sure you justify your answer by showing all the steps. Solve the system of linear equations you found in part (a) using Gaussian elimination on an augmented matrix. You need to use elementary row operations to reduce your augmented matrix in row-echelon form. Make sure you write down the elementary row operations that you use at each of the steps and give exact solution. If you solve the system using other method, you will get 0. Make Funtifr a1l the
3. A wine producer has three wine varieties at various alcohol concentrations. Variety A has 10 % alcohol Taritey B has 20% alcohol and variety C has 12% alcohol. How many milliliters of each variety should she use to make 750 ml bottle of wine of 12% alcohol, if she must use 4 times as much of the variety A the variety C? Set up a system of linear equations to determine how many millimeters of each variety we use. Letx be the number of millimeters of variety A, y be the number of millimeters of variety B ar z be the number of millimeters of variety C. Make sure you justify your answer by showing all the steps. Solve the system of linear equations you found in part (a) using Gaussian elimination on an augmented matrix. You need to use elementary row operations to reduce your augmented matrix in row-echelon form. Make sure you write down the elementary row operations that you use at each of the steps and give exact solution. If you solve the system using other method, you will get 0. Make Funtifr a1l the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. A wine producer has three wine varieties at various alcohol concentrations. Variety A has 10 % alcohol,
varitey B has 20% alcohol and variety C has 12% alcohol. How many milliliters of each variety should
she use to make 750 mL bottle of wine of 12% alcohol, if she must use 4 times as much of the variety A as
the variety C?
Set up a system of linear equations to determine how many millimeters of each variety were
use. Letx be the number of millimeters of variety A, y be the number of millimeters of variety B and
z be the number of millimeters of variety C. Make sure you justify your answer by showing all the
steps.
b.
Solve the system of linear equations you found in part (a) using Gaussian elimination on an
augmented matrix. You need to use elementary row operations to reduce your augmented matrix into
row-echelon form. Make sure you write down the elementary row operations that you use at each of
the steps and give exact solution. If you solve the system using other method, you will get 0. Make
sure you justify your answer by showing all the steps.
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