A municipal government strongly supports college students' entrepreneurship. With the support of the government, Li Ming invested and sold an eye-protection desk lamp, which was purchased in 20 yuan.

Solution: (1) From the meaning of the question, we get: w = (x-20) y = (x-20) (10500x? +) 2 10700 10000xx=？ +? 352bxa=？ Answer: When the sales unit price is set as 35 yuan, the maximum profit can be obtained every month.

(2) In terms of meaning, it is: 2 10700 10002000xx? +? = Solve this equation: x 1 = 30, x2 = 40 ... A: If Li Ming wants to earn 2000 yuan every month, the unit sales price should be set at 30 yuan or 40 yuan.

(3)∵ 10a=？ & lt0, ∴ parabola opens downward. ∴ when 30≤x≤40 and W ≥ 2000. ∵ X ≤ 32, when 30≤x≤32 ∴, W ≥ 2000. Let the cost be p (yuan) and get: 20. + 200 10000x=？ +∫200k =？ & lt0, ∴P decreases with the increase of X. ∴ When x = 32, the minimum p = 3600. A: If you want to make a profit of not less than 2,000 yuan per month, your monthly cost is at least 3,600 yuan.

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