名校
1 . 大米根据颗粒、质地、色泽、香味等评分指标打分,得分在区间
、
、
、
内分别评定为四级大米、三级大米、二级大米、一级大米.某经销商从农民手中收购一批大米,共
袋(每袋
),并随机抽取
袋分别进行检测评级,得分数据的频率分布直方图如图所示:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/19/d6722543-4e75-4e78-abb1-e22eff957f7c.jpg?resizew=217)
(1)求
的值,并用样本估计,该经销商采购的这批大米中,一级大米和二级大米的总量能否达到采购总量一半以上;
(2)该经销商计划在下面两个方案中选择一个作为销售方案:
方案1:将采购的
袋大米不经检测,统一按每袋
元直接售出;
方案2:将采购的
袋大米逐袋检测分级,并将每袋大米重新包装成
包(每包
),检测分级所需费用和人工费共
元,各等级大米每包的售价和包装材料成本如下表所示:
该经销商采用哪种销售方案所得利润更大?通过计算说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977f004f08e237ca737f1c0277bc85ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed1775bae57813e49c3364edfaec4a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf4c865fc7c4bf2ad09db9bb81541c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7164747e7bf13f32b1cf2e7732c5fa9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba602bfa3a3ffb4fb43dc0f704a7f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc39f47a11648c4c5942efd5d7440ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/19/d6722543-4e75-4e78-abb1-e22eff957f7c.jpg?resizew=217)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)该经销商计划在下面两个方案中选择一个作为销售方案:
方案1:将采购的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba602bfa3a3ffb4fb43dc0f704a7f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b685c556cc423e4833c1dc671a134cc.png)
方案2:将采购的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba602bfa3a3ffb4fb43dc0f704a7f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07050db53812ca8aab30beda08481ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afcc28435321cee7c7f7b10ce0d0d47.png)
大米等级 | 四级 | 三级 | 二级 | 一级 |
售价(元/包) | ||||
包装材料成本(元/包) |
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