求助大神，如何在类的对象中编写一个比较函数，比较total最大值，输出最大值的值和姓名？

#include <iostream>
#include <string>

class teacher
{
public:
    teacher( const std::string& name, int wage, int fwage, int bonus );
private:
    std::string name_;
    int wage_;
    int fwage_;
    int bonus_;
    int total_;

    friend bool operator<( const teacher& lhs, const teacher& rhs ) noexcept;
    friend std::ostream& operator<<( std::ostream& os, const teacher& t );
};

teacher::teacher( const std::string& name, int wage, int fwage, int bonus )
                : name_(name), wage_(wage), fwage_(fwage), bonus_(bonus), total_(wage+fwage+bonus)
{
}

bool operator<( const teacher& lhs, const teacher& rhs ) noexcept
{
    return lhs.total_ < rhs.total_;
}

std::ostream& operator<<( std::ostream& os, const teacher& t )
{
    return os << '(' << t.name_ << ',' << t.wage_ << ',' << t.fwage_ << ',' << t.bonus_ << ',' << t.total_ << ')';
}

#include <algorithm>
//#include <iterator>
using namespace std;

int main( void )
{
    teacher teach[] = { teacher("贾宇",  2300,1980,2000)
                      , teacher("张莹",  1908,2000,1000)
                      , teacher("李蒙",  2490,1080, 980)
                      , teacher("王同辽", 980,1200, 680)
                      , teacher("叶库伦",1290,1800, 390) };

    //copy( begin(teach), end(teach), std::ostream_iterator<teacher>(cout,"\n") );

    auto itor = max_element( begin(teach), end(teach) );
    cout << *itor << endl;
}