Solution: suppose you arrange to produce x chairs and y tables, and the profit is z, as can be seen from the meaning of the question:

4x+8y=8000

2x+y= 1300

Solution: x=900, y=200.

So z = 900 *15+200 * 20 =17500.

A: The company has arranged to produce 900 chairs and 200 tables, which can maximize the profit, with the maximum profit of 17500 yuan.