( 1)
Functional relationship between y and x: y=300+20x.
(2)
Selling this commodity for 6000 yuan a day is not the biggest profit, for the following reasons:
You can find the functional relationship between w and x:
W=y(60-x-40)
=(300+20x)(60 x 40)
=(300+20 times) (20 times)
=-20x? + 100x+6000
=-20(x-5/2)? +6 125
Where 0≤x≤20
∴ When x=5/2, w has a maximum value of 6 125.
∵q 6000 & lt; 6 125, ∴Q6000 is not the maximum profit.
At this time, the price of the commodity should be: 60-2.5=57.5 (yuan).