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.