"Energy saving, environmental protection, low-carbon life" is a lifestyle we advocate. A home appliance shopping mall plans to spend 118,000 yuan to purchase energy-saving TVs, washing machines and

(1) Three options: ① 8 TV sets, 8 washing machines, and 24 air conditioners; ② 9 TV sets, 9 washing machines, and 22 air conditioners; ③ 10 TV sets, 10 washing machines TV, 20 air conditioners

(2) Plan ③ can make the most profit, up to 12,600 yuan

Test question analysis: (1) TV set The quantity and the number of washing machines are p>(2) Suppose the profit is, first express the functional relationship of profit with respect to x, and then judge based on the properties of the function.

(1) Suppose the number of TV sets and the number of washing machines are x units, then the number of air conditioners is units, which is obtained from the question

Solution

According to x being an integer, then from 8 to 10*** There are three positive integers, namely 8, 9, and 10, so there are three plans:

Option 1: 8 TV sets, 8 washing machines, and 24 air conditioners;

Option Two: 9 TV sets, 9 washing machines, and 22 air conditioners;

Option three: 10 TV sets, 10 washing machines, and 20 air conditioners;

(1) Set profit Yes, from the question

∴At that time, the maximum was 12600

Answer: Plan ③ can make the most profit, The maximum amount is 12,600 yuan.

Comments: The key to answering this question is to understand the meaning of the question, find the inequality relationship, correctly list the inequality group, and then solve it.