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The ABC Ink Company is a small family-owned company that sells packages of ink cartridge refills for smart pens. The Xavier set contains one blue ink refill and one black ink refill. The Yvonne set includes two blue ink refills, three black ink refills, and one red ink refill. The Zena set includes four blue ink refills, five black ink refills, and one red ink refill. The company has sold most of its stock and has found that it has only 11 blue ink cartridge refills, 14 black ink cartridge refills, and 3 red ink cartridge refills. How many of each set should the company package to sell to use all of the remaining ink cartridges so that there will be none left in inventory. x = a) Describe what the variables represent: y = z = b) Write the system of linear equations: c) Solve the system of equations using Gauss-Jordan Elimination. Show the beginning matrix, all row operations, and the final matrix. Use proper notation. Write the solution as an ordered triple, if appropriate.

The ABC Ink Company is a small family-owned company that sells packages of ink cartridge refills for smart pens. The Xavier set contains one blue ink refill and one black ink refill. The Yvonne set includes two blue ink refills, three black ink refills, and one red ink refill. The Zena set includes four blue ink refills, five black ink refills, and one red ink refill. The company has sold most of its stock and has found that it has only 11 blue ink cartridge refills, 14 black ink cartridge refills, and 3 red ink cartridge refills. How many of each set should the company package to sell to use all of the remaining ink cartridges so that there will be none left in inventory. x = a) Describe what the variables represent: y = z = b) Write the system of linear equations: c) Solve the system of equations using Gauss-Jordan Elimination. Show the beginning matrix, all row operations, and the final matrix. Use proper notation. Write the solution as an ordered triple, if appropriate.

Advanced Engineering Mathematics
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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ath 1314 Lab Module 2 8. The ABC Ink Company is a small family-owned company that sells packages of ink cartridge refills for smart pens. The Xavier set contains one blue ink refill and one black ink refill. The Yvonne set includes two blue ink refills, three black ink refills, and one red ink refill. The Zena set includes four blue ink refills, five black ink refills, and one red ink refill. The company has sold most of its stock and has found that it has only 11 blue ink cartridge refills, 14 black ink cartridge refills, and 3 red ink cartridge refills. How many of each set should the company package to sell to use all of the remaining ink cartridges so that there will be none left in inventory. X = a) Describe what the variables represent: y = Z = b) Write the system of linear equations: c) Solve the system of equations using Gauss-Jordan Elimination. Show the beginning matrix, all row operations, and the final matrix. Use proper notation. Write the solution as an ordered triple, if appropriate. d) Fill out the table to show three possible combinations of sets the company can package: X y Z e) In at least one complete sentence with proper grammar and correct spelling, write the solutions in terms of what the variables represent. 6
Transcribed Image Text:ath 1314 Lab Module 2 8. The ABC Ink Company is a small family-owned company that sells packages of ink cartridge refills for smart pens. The Xavier set contains one blue ink refill and one black ink refill. The Yvonne set includes two blue ink refills, three black ink refills, and one red ink refill. The Zena set includes four blue ink refills, five black ink refills, and one red ink refill. The company has sold most of its stock and has found that it has only 11 blue ink cartridge refills, 14 black ink cartridge refills, and 3 red ink cartridge refills. How many of each set should the company package to sell to use all of the remaining ink cartridges so that there will be none left in inventory. X = a) Describe what the variables represent: y = Z = b) Write the system of linear equations: c) Solve the system of equations using Gauss-Jordan Elimination. Show the beginning matrix, all row operations, and the final matrix. Use proper notation. Write the solution as an ordered triple, if appropriate. d) Fill out the table to show three possible combinations of sets the company can package: X y Z e) In at least one complete sentence with proper grammar and correct spelling, write the solutions in terms of what the variables represent. 6
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