Cutting Edge razor blades come in small, medium and large packages. The small package has 6 blades costing $2 per package, the medium has 12 blades costing $3 per package and the large has 24 blades costing $4 per package. A store sold 12 packages of blades containing a total of 162 razor blades. The revenue made from the sale was $35. How many packages of each type were sold? Solve using G-J Elimination. a. write the system of equations for the information. identify variables b. write the augmented matrix for the information. c. solve using the G-J elimination method and label each answer.
Cutting Edge razor blades come in small, medium and large packages. The small package has 6 blades costing $2 per package, the medium has 12 blades costing $3 per package and the large has 24 blades costing $4 per package. A store sold 12 packages of blades containing a total of 162 razor blades. The revenue made from the sale was $35. How many packages of each type were sold? Solve using G-J Elimination. a. write the system of equations for the information. identify variables b. write the augmented matrix for the information. c. solve using the G-J elimination method and label each answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Cutting Edge razor blades come in small, medium and large packages. The small package has 6 blades costing $2 per package, the medium has 12 blades costing $3 per package and the large has 24 blades costing $4 per package. A store sold 12 packages of blades containing a total of 162 razor blades. The revenue made from the sale was $35. How many packages of each type were sold? Solve using G-J Elimination.
a. write the system of equations for the information. identify variables
b. write the augmented matrix for the information.
c. solve using the G-J elimination method and label each answer.
Expert Solution
Step 1
Let us consider the given system of equations is .
The system of equations is solved using the gauss-elimination method.
- Determine augmented matrix [A|b].
- Apply the row operation method.
- Now, rewrite the equation to get the solution.
Step by step
Solved in 2 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
