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Hengyang senior high school entrance examination mathematics
Solution: (1) Assume that each skilled worker and new worker can install X and Y electric vehicles every month.

According to the meaning of the question, you must

solve

.

A: Every skilled worker and new worker can install four or two electric cars every month.

(2) Set up a factory with skilled workers.

According to the meaning of the question, it is 12(4a+2n)=240.

2a+n= 10,

n= 10-2a,

A and n are positive integers, 0 < n < 10,

So n=8, 6, 4, 2.

That is, the factory has four recruitment schemes for new workers.

(3) Combining with (2), it is known that the number of new workers should be more than skilled workers, n=8, a =1; Or n=6 and a = 2;; Or n=4 and a = 3.

According to the meaning of the question, you must

w = 2000 a+ 1200n = 2000 a+ 1200( 10-2a)= 12000-400 a。

To make the total monthly salary of the factory W (yuan) as little as possible, A should be the largest.

Obviously, when n=4 and a=3, the less the total monthly salary of the factory, the better.