Posted by **Carolyn** on Wednesday, October 22, 2008 at 7:46pm.

Continental Motors manufactures taxis and airport limousines at its two plants. Plant A produces 75 taxis and 6 limousines daily, while plant B produces 50 taxis and 2 limousines daily. To fulfill its contractual obligations for November, the company must manufacture 3,124 taxis and 206 limousines. How many days should the company operate each plant if it wants to exactly meet its contracts?

Is the equation: 75t + 6L = 3,125

50t + 2L = 206

I have to find the equation before I can start with my augmented matrix. Can anyone help?

- Finite Math -
**Damon**, Wednesday, October 22, 2008 at 7:56pm
Days operating plant A = x

Days operating plant B = y

75 x + 50 y = 3124

6 x + 2 y = 206

- Finite Math -
**Carolyn**, Wednesday, October 22, 2008 at 8:01pm
Thank you so much!

- augmented matrix -
**Damon**, Wednesday, October 22, 2008 at 8:15pm
75 50 3124

6 2 206

1 2/3 41.65

1 1/3 34.33 subtract for new row 2

1 2/3 41.65

0 1/3 7.32 double row 2 and subtract for new row one

1 2/3 41.65

0 2/3 14.64

1 0 27.0

0 2/3 14.64 multiply row 2 by 3/2

1 0 27.0

0 1 22.0

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