老師期末出的數學導證題目 請各位大大幫幫忙!!(20點)
2011-06-02 6:42 am
這是老師出的經濟學中的數學導證題目,實在想不出來,懇請各位大大幫幫忙>"
題目如下:
Min﹝X1 , Y1﹞+ Min﹝X2 , Y2﹞≦Min﹝X1+X2 ,Y1+Y2﹞
回答 (3)
2011-06-04 7:46 am
2011-06-02 9:58 am
Min(x1,y1)+min(x2,y2) = min(min(x1,y1)+x2,min(x1,y1)+y2)
= min(min(x1+x2,y1+x2),min(x1+y2,y1+y2))
= min(x1+x2,y1+x2,x1+y2,y1+y2)
≦ min(x1+x2, y1+y2)
= min(min(x1+x2,y1+x2),min(x1+y2,y1+y2))
= min(x1+x2,y1+x2,x1+y2,y1+y2)
≦ min(x1+x2, y1+y2)
2011-06-02 8:10 am
可以分Case討論.
收錄日期: 2021-05-04 01:45:07
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110601000015KK09802