在钢条切割问题中，若钢条长度为<img src="https://static.zxtiku.com/wangke/imgs/topic/cb98526cd73495a7beebfd0a70e8bc65.png"/>，且长度从<img src="https://static.zxtiku.com/wangke/imgs/topic/e89bc6426c95ac12b129b1944f419617.png"/>到<img src="https://static.zxtiku.com/wangke/imgs/topic/2cfe3010a0d33e0be47bf33fe6f291dc.png"/>的钢条价格分别为<img src="https://static.zxtiku.com/wangke/imgs/topic/e42633a0abce5b702e96fbe7d3eb054b.png"/>。则切割后钢条的最大总收益为____