A log carrier has a body made from a 4-ft length of reinforced cloth having a patch on each side and a dowel slid through each end to act as handles. The parts-listing matrix for the log carrier is given by the matrix shown below.       LC    B     H     C     P   A =     0     0     0     0     0 1     0     0     0     0 2     0     0     0     0 0     1     0     0     0 0     2     0     0     0     Log carrier Body Handles Cloth Patch How many of each primary assembly item are required to fill an order for 500 log carriers and 20 handles?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 40EQ
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A log carrier has a body made from a 4-ft length of reinforced cloth having a patch on each side and a dowel slid through each end to act as handles. The parts-listing matrix for the log carrier is given by the matrix shown below.

 
   

LC

   B

    H

    C

    P

 

A =

 

 

0

    0

    0

    0

    0

1

    0

    0

    0

    0

2

    0

    0

    0

    0

0

    1

    0

    0

    0

0

    2

    0

    0

    0

 

 

Log carrier

Body

Handles

Cloth

Patch

How many of each primary assembly item are required to fill an order for 500 log carriers and 20 handles?

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