12-13高三上·湖北省直辖县级单位·阶段练习
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1 . 某工厂每天生产某种产品最多不超过40件,并且在生产过程中产品的正品率P与每日生产产品件数
(![](https://img.xkw.com/dksih/QBM/2013/2/27/1571124530135040/1571124535959552/STEM/b93bed353ffe4bf99a0e96b774c820cf.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2013/2/27/1571124530135040/1571124535959552/STEM/c472f72581134e3cb6ab6dafc46d8d70.png?resizew=13)
)间的关系为
,每生产一件正品盈利4000元,每出现一件次品亏损2000元.
(注:正品率=产品的正品件数÷产品总件数×100%)
(1)将日利润
(元)表示成日产量
(件)的函数;
(2)求该厂的日产量为多少件时,日利润最大?并求出日利润的最大值.
![](https://img.xkw.com/dksih/QBM/2013/2/27/1571124530135040/1571124535959552/STEM/b93bed353ffe4bf99a0e96b774c820cf.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2013/2/27/1571124530135040/1571124535959552/STEM/b93bed353ffe4bf99a0e96b774c820cf.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2013/2/27/1571124530135040/1571124535959552/STEM/c472f72581134e3cb6ab6dafc46d8d70.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2013/2/27/1571124530135040/1571124535959552/STEM/442f0ccb3cac4fe5a3effb28c44df091.png?resizew=23)
![](https://img.xkw.com/dksih/QBM/2013/2/27/1571124530135040/1571124535959552/STEM/99270804e5ff45d5b5701c28b3f075dd.png?resizew=99)
(注:正品率=产品的正品件数÷产品总件数×100%)
(1)将日利润
![](https://img.xkw.com/dksih/QBM/2013/2/27/1571124530135040/1571124535959552/STEM/63613192f527424c900a08cda3c76035.png?resizew=15)
![](https://img.xkw.com/dksih/QBM/2013/2/27/1571124530135040/1571124535959552/STEM/b93bed353ffe4bf99a0e96b774c820cf.png?resizew=13)
(2)求该厂的日产量为多少件时,日利润最大?并求出日利润的最大值.
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2016-12-02更新
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5卷引用:2012-2013学年辽宁省丹东市宽甸二中高二上学期期末考试文数试卷
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