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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
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.
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.
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