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Photovoltaic mathematics
Solution: (1) Let the analytical formula of straight line OA be y=kx,

∫ Point O (0 0,0) and A (4,40) are on this straight line.

∴-40=4k,

The solution is k=- 10,

∴y=- 10x;

Point B is on the parabola, y=-5x2+205x- 1230,

Let B( 10, m), then m = 320.

The coordinate of point B is (10,320).

∵ Point A is the vertex of the parabola, ∴ Let the analytical formula of the parabola where curve AB is located be y=a(x-4)2-40,

∴320=a( 10-4)2-40,

The solution is a= 10,

That is y =10 (x-4) 2-40 =10x2-80x+120.

- 10x(x= 1,2,3,4)

∴y={ 10x^2-80x+ 120(x=5,6,7,8,9)

-50x^2+205x- 1230(x= 10, 1 1, 12)

(2) - 10(x= 1,2,3,4)

S={20x-90(x=5,6,7,8,9)

- 10x+2 10(x = 10, 1 1, 12)

(3) According to (2), when x= 1, 2, 3 and 4, the values of s are all-10.

When x=5, 6, 7, 8, 9, when x=9, the maximum value of s is 90.

And when x= 10,1,12, s=- 10x+2 10,

When x= 10, the maximum value of s is 1 10.

Therefore, the company made the largest profit in the month of 10, which was 165438+ ten thousand yuan.