Posted by **mike** on Sunday, December 13, 2009 at 6:38am.

Company produces three models of speakers. models A,B,and C and can deliver them by truck, van and car. Truck holds 2 boxes of model A, 2 of model B and 3 of model C. Van holds 3 boxes of model A, 4 boxes of model B, and 2 boxes of model C The car holds 3 boxes of model A 5 boxes of model B and 1 box of model C

If 25 boxes of model A, 33 boxes of model B and 22 boxes of model C are to be delivered how many vehicles of each type should be used so that all operate at full capacity. Part B of this question Model C has been discontinued. If 25 boxes of model A and 33 boxes of model B are to be delivered how many vehicles of each type should be used so that all operate at full capacity

- Algebra -
**Reiny**, Sunday, December 13, 2009 at 9:44am
I see the following matrix equation:

[t,v,c)

x

│2 2 3│

│3 4 2│

│3 5 1│

=

[25 33 22]

or

2t + 3v + 3c = 25

2t + 4v + 5c = 33

3t + 2v + c = 22

solve it as a system of equations.

- Algebra -
**mike**, Sunday, December 13, 2009 at 10:08am
I should be good to go from here. Just to old for this but I am determined to understand word problems. In my sixties

- Algebra -
**Reiny**, Sunday, December 13, 2009 at 10:36am
'In my sixties' ...

Hang in there, I am beyond that.

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