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In 2009, the senior high school entrance examination in Baotou, Inner Mongolia had 23 problems in mathematics.
(1)y=-x+ 120, and x is less than or equal to 87.

(2)w=(x-60)x(-x+ 120)

=-x2+ 180x-720

When X=87, the maximum profit is 89 1.

(3) When W is greater than or equal to 500, X is between 70 and 87.