设降价率是x
∴40(1-x)²=32.4
(1-x)²=0.81
∴x=0.1或x=1.9 舍去
y=(500+10x/0.2)×(40-x-20)
=(500+50x)(20-x)
=50(10+x)(20-x)
=50(-x²+10x+200)
=-50(x²-10x+25)+50×225
=-50(x-5)²+11250
当降价5元时可获最大利润11250元
设降价率是x
∴40(1-x)²=32.4
(1-x)²=0.81
∴x=0.1或x=1.9 舍去
y=(500+10x/0.2)×(40-x-20)
=(500+50x)(20-x)
=50(10+x)(20-x)
=50(-x²+10x+200)
=-50(x²-10x+25)+50×225
=-50(x-5)²+11250
当降价5元时可获最大利润11250元