第1.2讲 本课程都讲什么-new.pptx - 课程都讲什么 内容导� 教师:丛培盛 [email protected] 模型的分� • 初等模型 •

第1.2讲 本课程都讲什么-new.pptx -...

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[email protected] 课程都讲什么 内容导读 教师:丛培盛
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2 模型的分类 初等模型 回归模型 图论模型 规划论模型 微分方程模型 最优控制模型 随机模型 模拟模型
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3 初等模型建模问题 某地产公司有 50 套公寓要出租,当租金定位 180 元 / 套 月时,公寓会全部租出去,但租金每月增加 10 元时,就有 一套租不出去,租出去的公寓,每月维护费需要 20 元。请 ( 1 )建立总收入 P 和租金 x 之间的数学模型 ( 2 )租金 x 为多少时,公司收益最大? 租金过高,会导致公寓出租困难,导致租不出去的公寓套 数为: (x-180)/10 。 所以,租房子总收益可表达为: P=(50-(x-180)/10)*(x-20)=-x 2 /10+70x-1360
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4 初等模型建模问题 黑枸杞中含有花青素,其在水中可以自然溶出, 符合化学的溶出动力学模型(阿雷尼乌斯公式) 但花青素也很容易被氧化,也复合动力学模型,所 以就会存在另一个反应。 溶出 : 花青素增加 氧化:花青素减少
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