各高校选拔赛试题

shadow2008

<><b><FONT color=#2b2bd5 size=3>大家好！！很高兴在这里认识你们！！</FONT></b></P><><b><FONT color=#2b2bd5 size=3>　我也可以加入你们的行列来交流思想吗？但愿意在这里我们成为朋友！！天天快乐！</FONT></b></P><><b><FONT color=#2b2bd5 size=3>　数学建模里的东西是富有创造性！在这里我们交流会给我们更多灵感！！</FONT></b></P>[em06]

Newton1983

西南交通大学数学建模竞赛即将拉开战幕！

活动宗旨：将理论知识运用到解决实际问题之中，增强大学生创新意识，并借助本次活动选拔优秀队员参加2004年全国大学生数学建模大赛，为我校再立新功。


活动流程：4.22~4.25        横幅、展板、画报、宣传单制作

          4.26~4.30        活动宣传、活动现场参赛报名

          5月~5.9          组织专家进行竞赛命题

          5.10~5.15        竞赛开赛、试卷发放、回收

          5.15~5.20        组织专家、教授统一阅卷，评出  一、二、三等奖及公布获奖名单，举行大型颁奖典礼（国际会议厅），邀请校内、外媒体进行采访及相关报道。

奖项设置：

本次竞赛将评出优秀队若干队，并在优秀队中评选出×××杯西南交通大学数学建模竞赛一等奖、二等奖若干队

           一等奖             10队              300×10=3000元

           二等奖             20队              150×20=3000元   
请各位同学赶快报名。
有什么疑问可以跟贴。
报名地址：
<a href="http://lxy.swjtu.edu.cn/shuxuejianmo/baoming.aspx" target="_blank" >http://lxy.swjtu.edu.cn/shuxuejianmo/baoming.aspx</A>

wewiii

<><FONT face=宋体 color=#808080 size=4>武汉理工大学2004年数学建模精英挑战赛试题</FONT></P><><B normal"><FONT face="Times New Roman">A   </FONT></B><B normal">题</B><B normal"><p></p></B></P>< 0cm 0cm 0pt"><B normal"><FONT face="Times New Roman">                         </FONT></B><B normal">草原命运</B><B normal"><p></p></B></P><P 0cm 0cm 0pt; LINE-HEIGHT: 200%"><FONT face="Times New Roman">   </FONT>天然草原的生息繁衍<FONT face="Times New Roman">,</FONT>已形成自身特有的生物链<FONT face="Times New Roman">,</FONT>且对人类生存起着重要作用。长期以来<FONT face="Times New Roman">,</FONT>人为破坏<FONT face="Times New Roman">(</FONT>如过度放牧、猎杀动物及采挖草药等<FONT face="Times New Roman">)</FONT>使草原生态每况愈下<FONT face="Times New Roman">,</FONT>日渐衰竭。据<FONT face="Times New Roman">2000</FONT>年<FONT face="Times New Roman">8</FONT>月<FONT face="Times New Roman">6</FONT>日《北京晚报》载<FONT face="Times New Roman">:</FONT>“……受利益驱使<FONT face="Times New Roman">,</FONT>有些人不顾国家法律和当地政府禁令<FONT face="Times New Roman">,</FONT>在呼伦贝尔草原大肆采挖中草药<FONT face="Times New Roman">,</FONT>致使草原严重受损。据此<FONT face="Times New Roman">,</FONT>有关专家推断<FONT face="Times New Roman">,10</FONT>年之内<FONT face="Times New Roman">,</FONT>该草原将变成荒漠。”为了天然草原的生息繁衍和可持续发展<FONT face="Times New Roman">,</FONT>完成以下工作<FONT face="Times New Roman">:<p></p></FONT></P><P 0cm 0cm 0pt; LINE-HEIGHT: 200%"><FONT face="Times New Roman">  1)</FONT>建立草原自然生长规律模型<FONT face="Times New Roman">,</FONT>描述人为破坏对草原生长的影响过程<FONT face="Times New Roman">;(<p></p></FONT></P><P 0cm 0cm 0pt; LINE-HEIGHT: 200%"><FONT face="Times New Roman">  2)</FONT>论证或驳斥报载消息中专家的推断<FONT face="Times New Roman">,</FONT>如果立即停止对草原的一切人为破坏<FONT face="Times New Roman">,10</FONT>年后的情形如何<FONT face="Times New Roman">?<p></p></FONT></P><P 0cm 0cm 0pt; LINE-HEIGHT: 200%"><FONT face="Times New Roman">  3)</FONT>寻求导致草原消失的临界条件<FONT face="Times New Roman">,</FONT>给出草原生长的挽救方案<FONT face="Times New Roman">,</FONT>并对挽救效果进行预测。<p></p></P><P 0cm 0cm 0pt; LINE-HEIGHT: 200%"><p><FONT face="Times New Roman"> </FONT></p><B normal"><FONT face="Times New Roman">B</FONT></B><B normal">题</B></P><P 0cm 0cm 0pt; LINE-HEIGHT: 200%"><B normal">       </B><B normal">最佳培养基配比方案</B><B normal"><p></p></B></P><P 0cm 0cm 0pt; TEXT-INDENT: 21pt; LINE-HEIGHT: 200%">以下是某发酵实验中培养基的碳源<FONT face="Times New Roman">(C1,C2,C3)</FONT>和氮源<FONT face="Times New Roman">(N1,N2,N3,N4)</FONT>含量及<FONT face="Times New Roman">IFN-</FONT>γ<FONT face="Times New Roman">(</FONT>γ<FONT face="Times New Roman">-</FONT>干扰素<FONT face="Times New Roman">)</FONT>的产量的实验数据表<FONT face="Times New Roman">(</FONT>见表<FONT face="Times New Roman">1),</FONT>如何选择碳源和氮源的种类及含量使<FONT face="Times New Roman">IFN-</FONT>γ的产量达到最大<FONT face="Times New Roman">?</FONT>试建立数学模型<FONT face="Times New Roman">,</FONT>给出培养基的最优配比方案。表<FONT face="Times New Roman">1</FONT>　培养基实验数据表<p></p></P><P 0cm 0cm 0pt; TEXT-INDENT: 21pt; LINE-HEIGHT: 200%"><p><FONT face="Times New Roman"> </FONT></p></P><P 0cm 0cm 0pt; TEXT-INDENT: 133.25pt; LINE-HEIGHT: 200%; mso-char-indent-count: 11.06"><B normal">表</B><B normal"><FONT face="Times New Roman">1<p></p></FONT></B></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">NO.    C<st1:chmetcnv w:st="on" UnitName="C" SourceValue="1" HasSpace="True" Negative="False" NumberType="1" TCSC="0">1    C</st1:chmetcnv><st1:chmetcnv w:st="on" UnitName="C" SourceValue="2" HasSpace="True" Negative="False" NumberType="1" TCSC="0">2    C</st1:chmetcnv>3    N1     N2    N3      N4    rhIFN-</FONT>γ</P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">1       0.1    0     0      0      0.5    0       0      11.6900</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">2       0.4    0     0      0      0.5    0       0      39.1297</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">3        1     0     0      0      0.5    0       0     68.2035</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">4        2     0     0      0      0.5    0       0     83.6580</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">5        3     0     0      0      0.5    0       0     75.4200</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">6        0     0.2   0      0      0.5    0        0     20.7360</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">7        0     0.5   0      0      0.5    0        0     20.7417</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">8        0     0.8   0      0      0.5    0        0     22.5836</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">9        0     1.5   0      0      0.5    0        0     25.8213</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">10       0     0    0.1     0      0.5    0        0     5.6240</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">11       0     0    0.5     0      0.5    0        0     10.2357</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">12       0     0    1.5     0      0.5    0        0     14.5909</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">13       0     0    2.5     0      0.5    0        0     20.3346</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">14       0     0     0      0      0.5    0       0     7.2960</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">15       0     0     0      0      0.5    0       0     42.5880</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">16       0     0     0      0      0.5    0       0     51.6000</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">17       2     0     0      0       0     0       0    165.5400</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">18       2     0     0      0.5     0     0       0     72.0000</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">19       2     0     0      2       0     0       0    54.9000</FONT></P><P 0cm 0cm 0pt; TEXT-INDENT: 5.25pt; mso-char-indent-count: .5"><FONT face="Times New Roman">20       2     0     0      3       0     0       0    42.8400</FONT></P><P 0cm 0cm 0pt; 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HUASHI3483

<H2 center" align=center>西南财经大学2004年学生数学建模竞赛</H2><H2 center" align=center>题目 开放式基金的投资问题</H2>< 21.75pt">某开放式基金现有总额为15亿元的资金可用于投资，目前共有8个项目可供投资者选择。每个项目可以重复投资，根据专家经验，对某个项目投资总额不能太高，且有个上限。这些项目所需要的投资额已经知道，在一般情况下，投资一年后各项目所得利润也可估计出来，见表一：</P>< 21.75pt"> <p></p></P>< 21.75pt; TEXT-ALIGN: center" align=center>表一  投资项目所需资金及预计一年后所得利润</P><P 21.75pt; TEXT-ALIGN: right" align=right>单位：万元</P><DIV align=center><TABLE medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt" cellSpacing=0 cellPadding=0 border=1><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 54.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid" width=73><P center" align=center>项目编号</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt" width=73><P center" align=center><I>A<SUB>1</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt" width=73><P center" align=center><I>A<SUB>2</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt" width=73><P center" align=center><I>A<SUB>3</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt" width=73><P center" align=center><I>A<SUB>4</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt" width=73><P center" align=center><I>A<SUB>5</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt" width=73><P center" align=center><I>A<SUB>6</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt" width=73><P center" align=center><I>A<SUB>7</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt" width=73><P center" align=center><I>A<SUB>8</SUB><p></p></I></P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 54.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>投资额</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>6700</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>6600</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>4850</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>5500</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>5800</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>4200</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>4600</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>4500</P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 54.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>预计利润</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>1139</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>1056</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>727.5</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>1265</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>1160</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>714</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>1840</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>1575</P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 54.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>上限</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>34000</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>27000</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>30000</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>22000</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>30000</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>23000</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>25000</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 54.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=73><P center" align=center>23000</P></TD></TR></TABLE></DIV><P 21.75pt"> <p></p></P><P 21.75pt">请帮助该公司解决以下问题：</P><P 21.75pt">一、就表一提供的数据，试问应该选取那些项目进行投资，使得第一年所得利润最大？</P><P 21.75pt">二、在具体对这些项目投资时，实际还会出现项目之间相互影响等情况。公司在咨询了有关专家后，得到如下可靠信息；</P><P 42.75pt">（1）如果同时对第1个和第3个项目投资，他们的预计利润分别为1005万元和1018.5万元；</P><P 42.75pt">（2）如果同时对第4、5个项目投资，他们的预计利润分别为1045万元和1276万元；</P><P 42.75pt">（3）如果同时对第2、6、7、8个项目投资，他们的预计利润分别为1353万元、840万元、1610万元、1350万元；</P><P 42.75pt">（4）如果考虑投资风险，则应该如何投资使得收益尽可能大，而风险尽可能的小。投资项目总风险可用所投资项目中最大的一个风险来衡量。专家预测出的投资项目<I>A<SUB>i</SUB></I>的风险损失率为<I>q<SUB>i</SUB></I> ，数据见表二。</P>

HUASHI3483

< center" align=center>表二  投资项目的风险损失率</P><DIV align=center><TABLE medium none; BORDER-TOP: medium none; MARGIN-LEFT: -21.35pt; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt" cellSpacing=0 cellPadding=0 border=1><TR 25.05pt"><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 76.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 25.05pt" vAlign=top width=101>< 27pt; mso-char-indent-count: 3.0; mso-char-indent-size: 9.0pt">项目编号<p></p></P><>风险损失率<p></p></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 25.05pt; mso-border-left-alt: solid windowtext .5pt" width=60><P center" align=center><I>A<SUB>1</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 25.05pt; mso-border-left-alt: solid windowtext .5pt" width=60><P center" align=center><I>A<SUB>2</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 25.05pt; mso-border-left-alt: solid windowtext .5pt" width=60><P center" align=center><I>A<SUB>3</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 25.05pt; mso-border-left-alt: solid windowtext .5pt" width=60><P center" align=center><I>A<SUB>4</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 25.05pt; mso-border-left-alt: solid windowtext .5pt" width=60><P center" align=center><I>A<SUB>5</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 25.05pt; mso-border-left-alt: solid windowtext .5pt" width=60><P center" align=center><I>A<SUB>6</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 25.05pt; mso-border-left-alt: solid windowtext .5pt" width=60><P center" align=center><I>A<SUB>7</SUB><p></p></I></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 25.05pt; mso-border-left-alt: solid windowtext .5pt" width=60><P center" align=center><I>A<SUB>8</SUB><p></p></I></P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 76.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-top-alt: solid windowtext .5pt" width=101><P center" align=center><I>q<SUB>i</SUB></I>（%）</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=60><P center" align=center>32</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=60><P center" align=center>15.5</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=60><P center" align=center>23</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=60><P center" align=center>31</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=60><P center" align=center>35</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=60><P center" align=center>6.5</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=60><P center" align=center>42</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: medium none; WIDTH: 45.05pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width=60><P center" align=center>35</P></TD></TR></TABLE></DIV><P 21.75pt"> <p></p></P><P 21.75pt">由于专家的经验具有较高的可信度，公司决策层需要知道以下问题的结果：</P><P 21.75pt">1、如果将专家的前3条信息考虑进来，该基金该如何进行投资呢？</P><P 21.75pt">2、如果将专家的4条信息都考虑进来，该基金又应该如何决策？</P><P 21.75pt">3、开放式基金一般要保留适量的现金，降低客户无法兑付现金的风险。</P><P>在这种情况下，将专家4条信息都考虑进来，那么基金该如何决策，使得尽可能的降低风险，而一年后所得利润尽可能多？</P>

HUASHI3483

<TABLE cellSpacing=0 cellPadding=0 width="85%" align=center border=0><TR><TD 24px" align=middle width="100%" height=73><><FONT color=#000066><B>宁波大学首届数学建模竞赛试题A</B></FONT></P></TD></TR><TR><TD 9pt" align=middle width="100%" height=31><FONT color=#666666>04-3-26 下午 06:11:53    数学建模主委会 </FONT></TD></TR><TR><TD 9pt" align=middle width="100%" height=31><FONT color=#666666>点击次数: 116</FONT></TD></TR><TR><TD 14px" align=middle width="100%"><TABLE cellSpacing=0 cellPadding=0 align=center border=0><TR><TD height=25>  </TD></TR><TR><TD 14px"><>宁波大学首届数学建模竞赛试题A
生产计划问题
已知某生产项目需要加工16个工件，工件序号、加工所需时间及它们的加工顺序关系如下表：
工件序号j 1 2 3 4 5 6 7 8
加工时间tj 20 28 25 16 42 12 32 10
前期工件号 3,4 5,7,8 5,9 － 10,11 3,8,9 4 3,5,7
工件序号j 9 10 11 12 13 14 15 16
加工时间tj 24 20 40 24 36 16 20 24
前期工件号 4 － 4,7 6,7,14,16 5,12,15 1,2,6 9 7</P><>⑴如给出一个加工顺序，便确定了每个工件的完工时间（包括等待与加工两个阶段）。试设计一个满足条件的加工顺序，使各个工件的完工时间之和达到最小。
⑵假若第j号工件紧接着第i号工件完工后开工，机床需要花费的准备时间tij满足：

试设计一个满足条件的加工顺序，使机床花费的总时间最小。
⑶假定工件的完工时间（包括等待与加工两个阶段）超过一定时限u，则需支付一定的补偿费用，其数值等于超过时间与费率 的乘积（各工件的补偿费率 见下表）。
j 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
  12 10 15 16 10 11 10 8 5 4 10 10 8 12 10 8
试在u=100及各 的情况下安排一个加工顺序，使花费的总补偿费用最小。
⑷能否对某些一般情形下上述各问题的解法作一些讨论。
</P></TD></TR></TABLE></TD></TR></TABLE>

mengduan

<>怎么没有人感谢</P><>我第一个吧</P><>谢谢楼主了</P>

panpan123

<><FONT color=#808080 face=宋体 size=3>武汉理工大学2004年数学建模精英挑战赛的结果出来了吗？</FONT></P>
<>出来的话请上传几片论文，在此谢过了！！！！！！</P>

HUASHI3483

<> 浙江师范大学第三届数学建模竞赛试题</P> hW6nRz3c.rar (9.86 KB, 下载次数: 0)

2004-5-14 04:44 上传

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各高校选拔赛试题

lzb323

<>这些题目都有没有答案的啊？有的话就一起上传啊！</P>[em05]