A function math problem, everyone help, the whole process of adding points is very urgent and satisfying.

Solution: If you plant X mu of vegetables and Y mu of tobacco, you plant (50-x-y) mu of wheat. The total output value is w yuan.

1/2 x+ 1/3y+ 1/4(50-x-y)= 20

Simplification: 3x+y = 90°

y=90-3x

w = 1 100 x+750y+600(50-x-y)

=500x+ 150y+30000

Substitute y = 90-3x to get:

w=500x+ 150(90-3x)+30000

=50x+43500

∫ 1/2x, 1/3 y and (50-x-y) are all integers.

Mu of vegetables, mu of tobacco and mu of wheat

x y 50-x-y

2 14 4

4 6 10

6 12 2

8 6 6

12 6 2

Therefore, 2≤x≤ 12.

k=50>0

∴w increases with the increase of X.

When x = 12, w is the largest.

w max = 50× 12+43500 = 44 100。

That is, planting vegetables 12 mu, tobacco 6 mu and wheat 2 mu, and the highest hourly total output value is 44 100 yuan.