# Matrix Reduction

I am to use matrix reduction on this problem. I can solve systems by matrixs with out any problem but I can't seem to set up the two equations for this problem so that I can even turn them into a matrix and solve.

A company produces desks on both the east and west coast. The east coast plant, fixed costs are 16000 per year and the cost of producing each desk is $90. The west coast plant fixed costs are 20,000 per year ad the cost of producing each desk is $80. Next year the company wants to produce a total of 800 desks. Determine the production order for each plant for the forthcoming year if the total cost for each pant is to be the same.

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:00 pm ad1c9bdddfhttps://brainmass.com/math/matrices/matrix-reduction-21700

#### Solution Preview

Please see attached file.

A company produces desks on both the east and west coast. The east coast plant, fixed costs are 16000 per year and the cost of producing each desk is $90. The west coast plant fixed costs are 20,000 per year ad the cost of producing each desk is $80. Next year the company wants to produce ...

#### Solution Summary

The solution determines the production order for each plant for the forthcoming year if the total cost for each pant is to be the same.