How solve this matrix problem?

Question

A furniture company manufactures three models of shelving: A, B and C.
In every size, big and small. Produces daily
1000 large shelves and 8000 small shelves of type A.
8000 large shelves and 6000 small shelves of type C.
Each large shelf has 16 screws and 6 brackets, and each shelf has 16 screws and 6 brackets.
small shelf has 12 screws and 4 brackets,
on any of the three models.

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Answer 1 · 2018-07-21T17:09:06

Please see an explanation below.

I tried this

For the large and small shelves

$A=((1000,8000))$

$C=((8000,6000))$

And for the screws and brackets

$E=((16,6),(12,4))$

Then,

$A*E=((1000,8000))*((16,6),(12,4))$

$=((1000*16+8000*12, 1000*6+8000*4))$

$=((112000, 38000))$

For $A$ , We need $112000$ screws and $38000$ bolts

$C*E=((8000,6000))*((16,6),(12,4))$

$=((8000*16+6000*12,8000*6+6000*4))$

$=((200000,72000))$

For $C$ , We need $200000$ screws and $72000$ bolts