There is a saying that application problems cannot be solved.

6000- 100X+600X- 10X？ = 10000

x？ -50X+400=0

X= 10 or X=40.

The price of desk lamp should be 50, then buy 500 desk lamps or the price of desk lamp should be 80, then buy 200 desk lamps.

= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y =( 10+X)(600- 10X)= 6000- 100 X+600 X- 10X？

=- 10(X-25)？ + 12250

The price of table lamps should be set at 65%, which is the most profitable? Maximum profit 12250.