A.气温和冷饮销量之间的关系 |
B.速度一定时,位移和时间的关系 |
C.亩产量为常数时,土地面积与产量之间的关系 |
D.正方体的体积和棱长的关系 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c54368da4c15e4f32d98474b2f9ec62.png)
A.30元 | B.42元 | C.54元 | D.越高越好 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa1c68c4a58a9355729b470ccc16c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfc339cf6dd66599db64fa3fa44e608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(1)试用销售单价
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(2)试问销售单价定为多少时,该商店可获得最大利润?最大利润是多少?此时的销售量是多少?
销售单价x(元) | 60 | 62 | 64 | 66 | 68 | … |
销售量y(件) | 600 | 580 | 560 | 540 | 520 | … |
(1)建立一个恰当的函数模型,使它能较好地反映销售量y(件)与销售单价x(元)之间的函数关系,并写出这个函数模型的解析式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)试求销售利润z(元)与销售单价x(元)之间的函数关系式(销售利润 = 总销售收入-总进价成本);
(3)在(1)(2)条件下,当销售单价为多少元时,能获得最大利润?并求出此最大利润.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4ecdba1e93488d2cdf4a7419ff999a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065cef75020ec904da15f257e88ac188.png)
(1)将利润表示为月产量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当月产量为何值时,公司所获利润最大?最大利润为多少元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91acf7de7ee249e6b72ee91a399eea04.png)
(2)当公司参加培训的员工为多少人时,培训机构可获得最大利润?并求最大利润.
7 . 某超市计划按月订购一种酸奶,每天进货量相同,进货成本每瓶4元,售价每瓶6元,未售出的酸奶降价处理,以每瓶2元的价格当天全部处理完.根据往年销售经验,每天需求量与当天最高气温(单位:℃)有关.如果最高气温不低于25,需求量为500瓶;如果最高气温位于区间[20,25),需求量为300瓶;如果最高气温低于20,需求量为200瓶.为了确定六月份的订购计划,统计了前三年六月份各天的最高气温数据,得下面的频数分布表:
最高气温 | [10,15) | [15,20) | [20,25) | [25,30) | [30,35) | [35,40) |
天数 | 2 | 16 | 36 | 25 | 7 | 4 |
以最高气温位于各区间的频率估计最高气温位于该区间的概率.
(1)求六月份这种酸奶一天的需求量不超过300瓶的概率;
(2)设六月份一天销售这种酸奶的利润为Y(单位:元),当六月份这种酸奶一天的进货量为450瓶时,写出Y的所有可能值,并估计Y大于零的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254085ae2868cb0371a3844cac3fd14d.png)
最高 气温 | [10, 15) | [15, 20) | [20, 25) | [25, 30) | [30, 35) | [35, 40) |
天数 | 2 | 16 | 36 | 25 | 7 | 4 |
(1)求六月份这种酸奶一天的需求量X(单位:瓶)的分布列.
(2)设六月份一天销售这种酸奶的利润为Y(单位:元),当六月份这种酸奶一天的进货量n(单位:瓶)为多少时,Y的数学期望达到最大值?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/01b27805-6909-470b-a07c-0a2ebffcf1f2.png?resizew=314)
(1)分别将A,B两种产品的利润表示为投资额的函数,并求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f67daeddff2e805bf34d43e629d959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
(2)该企业已筹集到10万元资金,并全部投入A,B两种产品的生产,问:怎样分配这10万元投资额,才能使企业获得最大利润,其最大利润为多少万元.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/e3220e39-81dc-4c1b-87b7-d06b5e00cb6c.png?resizew=337)
(1)计算该样本的平均值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbe7f95b5d89f9409ec24536da9e826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671f43c79d612c93a6d160335e86e177.png)
(2)根据长期生产经验,可以认为这台设备在正常状态下生产的产品的质量指标值服从正态分布
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84c2c26cbb6b22a415fd0830401aeac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/742d3e642d52e01899f66df411100838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671f43c79d612c93a6d160335e86e177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8a7c465208823b875b0a9d0b145c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e07ca22b8f74dacdb64c621a0648ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c30fd4c57b7ae86c78e6214b47104cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(i)用样本估计总体,问该工厂一天生产的产品中不合格品是否超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085e2252d6a912b02bd23115f0cb4fca.png)
(ii)某公司向该工厂推出以旧换新活动,补足50万元即可用设备
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583f326b66bf3d3652bb1cabd96467b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/100251088709a6b7c0257cc03e7c42d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356dd6809a78dacc01ab21226c4afc49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
参考数据:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfabf2bd8ed23270369e69d44b421a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613a8908371b014a8584f42839cc88af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b77b9ab66e9df270ea484a5ab1e4ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8670f93c497fc9b62dfbf36bb14aa876.png)