(b) A factory makes three types of furniture: A, B, and C. Each furniture requires the services of three sections. The cutting, assembly and packaging sections have available a maximum of 60, 80, and 50 labour-hours per week, respectively. For furniture A, it takes 2 hours in cutting section, 2 hours in assembly and 4 hours in packaging. Meanwhile for fumiture B, it takes 2 hours in cutting section, 3 hours in assembly and 2 hours in packaging. Furniture C takes 3 hours in cutting section, 4 hours in assembly and an hour in packaging. Write the system of linear equations. Hence, determine how much furniture of each type must be produced each week for the factory to operate at full capacity using
(b) A factory makes three types of furniture: A, B, and C. Each furniture requires the services of three sections. The cutting, assembly and packaging sections have available a maximum of 60, 80, and 50 labour-hours per week, respectively. For furniture A, it takes 2 hours in cutting section, 2 hours in assembly and 4 hours in packaging. Meanwhile for fumiture B, it takes 2 hours in cutting section, 3 hours in assembly and 2 hours in packaging. Furniture C takes 3 hours in cutting section, 4 hours in assembly and an hour in packaging. Write the system of linear equations. Hence, determine how much furniture of each type must be produced each week for the factory to operate at full capacity using
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
![(b) A factory makes three types of furniture: A, B, and C. Each furniture requires the
services of three sections. The cutting, assembly and packaging sections have available
a maximum of 60, 80, and 50 labour-hours per week, respectively. For furniture A, it
takes 2 hours in cutting section, 2 hours in assembly and 4 hours in packaging.
Meanwhile for furniture B, it takes 2 hours in cutting section, 3 hours in assembly and
2 hours in packaging. Furniture C takes 3 hours in cutting section, 4 hours in assembly
and an hour in packaging.
Write the system of linear equations. Hence, determine how much furniture of each
type must be produced each week for the factory to operate at full capacity using
Cramer's rule.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb93e6351-e2c6-4fb4-8610-4f5636702eb5%2F3c7456cc-a38b-41b7-9b3c-307344b9e703%2Fdcxl7rj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) A factory makes three types of furniture: A, B, and C. Each furniture requires the
services of three sections. The cutting, assembly and packaging sections have available
a maximum of 60, 80, and 50 labour-hours per week, respectively. For furniture A, it
takes 2 hours in cutting section, 2 hours in assembly and 4 hours in packaging.
Meanwhile for furniture B, it takes 2 hours in cutting section, 3 hours in assembly and
2 hours in packaging. Furniture C takes 3 hours in cutting section, 4 hours in assembly
and an hour in packaging.
Write the system of linear equations. Hence, determine how much furniture of each
type must be produced each week for the factory to operate at full capacity using
Cramer's rule.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)