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Please help! Topics of mathematical modeling.
(1) If the price of each color TV is reduced by 50x yuan and the profit is Y yuan, you can sell 10x more color TV sets every day, which can be listed as follows:

y=(200-50x)(20+x)

The entry points are:

y=-500(x-4)(x-4)+ 18000

Understand:

When x=4, the maximum value is obtained, that is, when the price reduction is 4x50=200 yuan, the maximum profit is y(max)= 18000.

(2) According to the vertex, when y =16000,500 (x-4) (x-4) = 2000, then x 1=2, x2=6.

If the price of each set is reduced by 100 yuan or 300 yuan, the profit can be realized by 16000 yuan.