Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Freight Crate Inc. produces small, medium, and large shipping crates used by a variety of clients and companies. Each month, Freight Crate produces and ships it's own (empty) containers out to its distributor to be sold. Data on the shipping containers' weights and costs are given in the table below: Small Medium Large Weight (lbs per container) 20 44 80 Cost to Produce (per container) $20 $40 $100 A shipment of containers must adhere to an imposed weight limit of 9,664 lbs. Furthermore, pre- vious sales data suggest that Freight Crate should produce twice as many medium containers as large containers. The company hopes to determine the total of each type of container to produce on a monthly shipping budget of $10,300. Define x, y, and z to be the total number of small, medium, and large containers produced montly, respectively.

Freight Crate Inc. produces small, medium, and large shipping crates used by a variety of clients and companies. Each month, Freight Crate produces and ships it's own (empty) containers out to its distributor to be sold. Data on the shipping containers' weights and costs are given in the table below: Small Medium Large Weight (lbs per container) 20 44 80 Cost to Produce (per container) $20 $40 $100 A shipment of containers must adhere to an imposed weight limit of 9,664 lbs. Furthermore, pre- vious sales data suggest that Freight Crate should produce twice as many medium containers as large containers. The company hopes to determine the total of each type of container to produce on a monthly shipping budget of $10,300. Define x, y, and z to be the total number of small, medium, and large containers produced montly, respectively.

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
See similar textbooks
icon
Related questions
Question

a. Identify the constraints in this problem, and use them to set up a system of linear equations that model this scenario. 

b. in image

Freight Crate Inc. produces small, medium, and large shipping crates used by a variety of clients and companies. Each month, Freight Crate produces and ships it's own (empty) containers out to its distributor to be sold. Data on the shipping containers' weights and costs are given in the table below: Small Medium Large Weight (lbs per container) 20 44 80 Cost to Produce (per container) $20 $40 $100 A shipment of containers must adhere to an imposed weight limit of 9,664 lbs. Furthermore, pre- vious sales data suggest that Freight Crate should produce twice as many medium containers as large containers. The company hopes to determine the total of each type of container to produce on a monthly shipping budget of $10,300. Define x, y, and z to be the total number of small, medium, and large containers produced montly, respectively.
Transcribed Image Text:Freight Crate Inc. produces small, medium, and large shipping crates used by a variety of clients and companies. Each month, Freight Crate produces and ships it's own (empty) containers out to its distributor to be sold. Data on the shipping containers' weights and costs are given in the table below: Small Medium Large Weight (lbs per container) 20 44 80 Cost to Produce (per container) $20 $40 $100 A shipment of containers must adhere to an imposed weight limit of 9,664 lbs. Furthermore, pre- vious sales data suggest that Freight Crate should produce twice as many medium containers as large containers. The company hopes to determine the total of each type of container to produce on a monthly shipping budget of $10,300. Define x, y, and z to be the total number of small, medium, and large containers produced montly, respectively.
After applying Gauss-Jordan reduction, you arrive at the following augmented matrix: 1 0 0 38 0 1 0106 0 0 1 53 What can you conclude from this matrix? Please explain your result in the context of the problem.
Transcribed Image Text:After applying Gauss-Jordan reduction, you arrive at the following augmented matrix: 1 0 0 38 0 1 0106 0 0 1 53 What can you conclude from this matrix? Please explain your result in the context of the problem.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS