Math Problem Statement

有5个军事官,每月薪水分别为4700,4900,5100,5300,5500; 有5个学识官,每月薪水分别为4700,4900,1140,1340,1540; 有5个后勤官,每月薪水分别为5100,5300,5500,5700,6300; 把他们安排到5座不同的城市工作,要求每个城市都要有1名军事官,1名学识官和1名后勤官,如何分配能使得5个城市的薪水总和的平均值最接近。

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Optimization
Averages

Formulas

Total salary = Military Officer Salary + Scholar Officer Salary + Logistics Officer Salary
Average salary per city = (Total salaries of all officers) / 5

Theorems

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Suitable Grade Level

Grades 10-12