When 7≤x≤ 10, y = 300.
So you can get y=? 50x+600( 1≤x≤6)300(7≤x≤ 10);
When 7≤x≤ 10, z2=kx+b,
Substituting points (7,80) and (10,20) gives 7k+b = 80 10k+b = 20.
Solution: k =? 20 b=220
So Z2 =-20x+220;
(2) When 1≤x≤6
w =(-50x+600-200)(20x+40)- 1000-500
=- 1000 x2+6000 x+ 14500
=- 1000(x-3)2+23500,
When x=3, w is the largest, and w is the largest = 23500;
When 7≤x≤ 10
w =(300-200)(-20x+220)- 1000-500
=-2000x+20500
Because -2000 < 0, w decreases with the increase of x.
So when x=7, w gets the maximum value, and w is the maximum value =6500.
To sum up, the profit on the third day was the biggest, with the highest profit of 23,500 yuan.
(3)5 { 20×(300-200)+[450( 1-a %)-200]? 20( 1+2a %)- 1500 } = 27 100,
Let a%=t,
Finishing: 18t2-t-0.08=0,
△=6.76,
Solution: t=≈ 1+2.636 = 0. 1 or t=≈ 1? 2.6 36 (irrelevant, omitted)