Find a mathematical model

It should be mathematical modeling. I am from a mathematical modeling club. I’ll give you a simple question. The specific modeling steps are as follows

Abstract (write down the most critical mathematical methods and the mathematical software you used to write this model, and write down the general ideas for solving the problem)

Question (that’s the title, here’s a question for you, if not, you can change it)

There is a carpenter, an electrician and a painter, and the three of them mutually agreed to decorate their own house. Before the renovation, they reached the following agreement:

(1) Each person is allowed to work for a total of 10 days (including working on their own home);

(2) The daily wage per person is between 60 and 80 yuan based on the general market price; (3) The daily wage per person should make the total income and total expenditure of each person equal. Table 5-3 is the distribution plan of working days that they worked out after negotiation. How to calculate the salary that each of them deserves? (4) n people decorate each other, give their due wage model and write a program that can be implemented on the computer

Carpenter, electrician and painter

Number of days working at the carpenter's house 2 1 6

Number of days worked at the electrician’s house 4 5 1

Number of days worked at the painter’s house 4 4 ??3

Then there is the symbol explanation (that is, you use What is the specific meaning of the symbol, please explain)

Then is model establishment (that is, which relationship expressions you get from the problem, you need to write them separately)

The last step is model solving (that is Write down the answer to the question)

Your teacher probably doesn’t require text format or anything like that.

That’s pretty much it, I hope you like my answer