Hey seananigans.
Are there constraints for the total volume and the total weight?
Hello All,
I have been having much difficulty understanding matrices and a group of us have become desperate to find some comprehension of this problem. We have come up with an answer for c, but still not sure if it's correct. If you could please be of assistance it would be greatly appreciated!
A company makes three types of product (A,B, and C) with specifications below:
Product | A | B | C | Total Allowed
Weight 20 20 60 220 lbs
Volume 20 15 20 125 cu ft
a) Write a system of equations that could be used to determine what combination of products should be shipped.
b) Write the augmented matrix that matches the system.
c) Perform row operations to obtain a reduced matrix.
d) Interpret the matrix to determine the quantities to be shipped.
Hello, seananigans1
A company makes three types of product (A,B, and C) with specifications below:
. .
a) Write a system of equations that could be used
. . to determine what combination of products should be shipped.
Then we have: .
b) Write the augmented matrix that matches the system.
c) Perform row operations to obtain a reduced matrix.
We have: .
d) Interpret the matrix to determine the quantities to be shipped.
We have: .
We have parametric equations for for any value of
But must be nonnegative.
We have: .
Therefore: .