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

(1) 3 options:

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

Option 2: 9 TV sets TV sets, 9 washing machines, and 22 air conditioners;

Option 3: 10 TV sets, 10 washing machines, and 20 air conditioners.

(2) The merchant estimates that a maximum of 130 pieces will be given away.

Explanation: (1) Suppose you purchase x TV sets, then x washing machines and (40-2x) air conditioners. According to the question:

The solution is: 8≤x≤10,

According to x being an integer, there are 3 positive integers from 8 to 10***, namely 8, 9, 10, so there are three options:

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

Option 2: 9 TV sets, 9 washing machines TV sets and 22 air conditioners;

Option 3: 10 TV sets, 10 washing machines, and 20 air conditioners.

(2) The amount of all three types of electrical appliances sold during the event y=5500x+2160x+2700 (40-2x), that is, y=2260x+108000.

It can be seen from the properties of a linear function: when x is the largest, the value of y is the largest.

The maximum value of x is 10 , then the maximum value of y is: 2260×1108000=130600 yuan.

For every 1,000 yuan purchased in cash, a 50-yuan home appliance coupon will be given. It can be seen that a maximum of 130 consumer coupons will be given out for a total sales of 130,600 yuan.

Answer: (2) The merchant estimates that a maximum of 130 tickets will be given away.