Tug-of-war started in the Spring and Autumn Period in China, and it is a popular multi-person sport with a broad mass base. Tug of war can exercise participants' arm strength, leg strength, waist strength and endurance, and can cultivate team spirit. In addition, a tug-of-war game lasts for a few minutes or dozens of minutes at most, without much physical strength, and the atmosphere at the game site is warm.

There are many scoring methods in tug-of-war competition. The common classification is based on the overall weight of 8 people on both sides of the competition, from 320 kg to 720 kg, every 40 kg. There is a mark in the middle of the tug-of-war rope. In the competition, if one of the contestants pulls the rope marker 4 meters over his side, which side wins. Please ask your team to complete the following tasks:

1. In a graded competition, if one party wants to give full play to the team's energy in the tug-of-war, how should he arrange the position of his team members? Please explain your results by establishing a mathematical model of the competition.

The rule of winning the game is to pull the rope 4 meters. Please explain whether this law is scientific through mathematical modeling.

At present, the physical quality of Chinese students is generally not strong. It is suggested that we should attract more students to participate in sports and hold tug-of-war competitions regularly to improve their physical quality. Please design a tug-of-war rule that can not only ensure that most students can participate in the school, but also reflect the competitiveness of the competition. This rule should be interpreted in terms of quantity.

4. Write a proposal to the Organizing Committee of National University Sports, suggesting that the tug-of-war competition you designed should be included in the official competition of national university students.