东华大学2006数学建模比赛试题
<p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 16pt; FONT-FAMILY: 黑体; mso-bidi-font-size: 12.0pt;">2006</span><span style="FONT-SIZE: 16pt; FONT-FAMILY: 黑体; mso-bidi-font-size: 12.0pt;">年东华大学数学建模竞赛<span lang="EN-US"> <p></p></span></span></p><p></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><p><font face="Times New Roman"> </font></p></span></p><p><font face="Times New Roman"> </font></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 黑体;">A </span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 黑体;">题<span lang="EN-US"><span style="mso-spacerun: yes;"> </span></span>禽流感防治问题<span lang="EN-US"> <p></p></span></span></p><p></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><p><font face="Times New Roman"> </font></p></span></p><p><font face="Times New Roman"> </font></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">假设一种新的禽流感在上海地区爆发，并波及江苏、浙江、安徽、江西、山东、福建等省。这是一种变种的致命病毒，可人传人。抗流感药物</span><span lang="EN-US"><font face="Times New Roman">Tamiflu</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">可以一定程度的抑制症状并降低传染率。注射抗流感疫苗也可以一定程度的防止被传染，但这一疫苗还在试验阶段。对于已感染的人群，抗流感药物可以有效地降低死亡率。卫生部聘请你们对下列问题进行研究，为防治禽流感全面爆发提供帮助。</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; mso-list: l0 level1 lfo1; tab-stops: list 18.0pt;"><span lang="EN-US" style="mso-fareast-font-family: 'Times New Roman';"><span style="mso-list: Ignore;"><font face="Times New Roman">1．<span style="FONT: 7pt 'Times New Roman';"> </span></font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">抗流感药物和抗流感疫苗需要多少库存才能预防禽流感全面爆发？</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; mso-list: l0 level1 lfo1; tab-stops: list 18.0pt;"><span lang="EN-US" style="mso-fareast-font-family: 'Times New Roman';"><span style="mso-list: Ignore;"><font face="Times New Roman">2．<span style="FONT: 7pt 'Times New Roman';"> </span></font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">当前约有</span><span lang="EN-US"><font face="Times New Roman">2</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">百万剂量的</span><span lang="EN-US"><font face="Times New Roman">Tamiflu</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">。预计自开始爆发</span><span lang="EN-US"><font face="Times New Roman">6</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">个月内有一定数量的疫苗可以投入使用。估计不同时期感染禽流感的人数</span><span lang="EN-US"><font face="Times New Roman">, </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">并分析各种隔离措施对感染人数的影响</span><span lang="EN-US"><font face="Times New Roman">.</font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; mso-list: l0 level1 lfo1; tab-stops: list 18.0pt;"><font face="Times New Roman"><span lang="EN-US" style="mso-fareast-font-family: 'Times New Roman';"><span style="mso-list: Ignore;">3．<span style="FONT: 7pt 'Times New Roman';"> </span></span></span><span lang="EN-US">WHO</span></font><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">专家组的初步研究报告显示</span><span lang="EN-US"><font face="Times New Roman">, </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">如果没有有效的防治措施</span><span lang="EN-US"><font face="Times New Roman">, 1</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">年内会有多达</span><span lang="EN-US"><font face="Times New Roman">5</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">万人死于此次禽流感的爆发</span><span lang="EN-US"><font face="Times New Roman">. </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">对此你有何评论</span><span lang="EN-US"><font face="Times New Roman">?</font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; mso-list: l0 level1 lfo1; tab-stops: list 18.0pt;"><span lang="EN-US" style="mso-fareast-font-family: 'Times New Roman';"><span style="mso-list: Ignore;"><font face="Times New Roman">4．<span style="FONT: 7pt 'Times New Roman';"> </span></font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">卫生部准备在疫区设立几个抗流感药物和抗流感疫苗的分发中心</span><span lang="EN-US"><font face="Times New Roman">, </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">每个分发中心可以有效地为</span><chmetcnv unitname="公里" sourcevalue="100" hasspace="False" negative="False" numbertype="1" tcsc="0" wst="on"></chmetcnv><span lang="EN-US"><font face="Times New Roman">100</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">公里</span><chmetcnv></chmetcnv><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">内的医院供应药物</span><span lang="EN-US"><font face="Times New Roman">, </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">离库存点超过</span><chmetcnv unitname="公里" sourcevalue="100" hasspace="False" negative="False" numbertype="1" tcsc="0" wst="on"></chmetcnv><span lang="EN-US"><font face="Times New Roman">100</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">公里</span><chmetcnv></chmetcnv><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">内的医院需通过邮寄</span><span lang="EN-US"><font face="Times New Roman">,<span style="mso-spacerun: yes;"> </span></font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">从而要推迟</span><span lang="EN-US"><font face="Times New Roman">5</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">天收到药物</span><span lang="EN-US"><font face="Times New Roman">. </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">根据疫区的人口地理分布</span><span lang="EN-US"><font face="Times New Roman">, </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">最少应该设几个分发点才能有效地防治禽流感</span><span lang="EN-US"><font face="Times New Roman">? </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">设在哪里</span><span lang="EN-US"><font face="Times New Roman">?</font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><p><font face="Times New Roman"> </font></p></span></p><p><font face="Times New Roman"> </font></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">撰写一份报告说明你的研究方法和结论</span><span lang="EN-US"><font face="Times New Roman">. </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">你可以参考过去防治禽流感的经验</span><span lang="EN-US"><font face="Times New Roman">(</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">需说明依据</span><span lang="EN-US"><font face="Times New Roman">), </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">也可以做一些合理的假设</span><span lang="EN-US"><font face="Times New Roman">, </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">但必须给予说明</span><span lang="EN-US"><font face="Times New Roman">. </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">技术性的细节放在附录中</span><span lang="EN-US"><font face="Times New Roman">.</font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face="Times New Roman"></font></span> </p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face="Times New Roman"></font></span> </p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face="Times New Roman"></font></span> </p><span lang="EN-US"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 黑体;">B</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 黑体;">题<span lang="EN-US"><span style="mso-spacerun: yes;"> </span></span>产品质量控制问题<span lang="EN-US"> <p></p></span></span></p><p></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><p><font face="Times New Roman"> </font></p></span></p><p><font face="Times New Roman"> </font></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">某电子公司制造飞机上使用的一种复合材料。该复合材料是矩形的且由两层不同的材料组成。产品生产须达到合同上的质量控制和可靠性指标要求。质量控制最重要的两个指标是传导率</span><span lang="EN-US"><font face="Times New Roman">(</font></span><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">conductivity</span><span lang="EN-US"><font face="Times New Roman">)</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">和质量</span><span lang="EN-US"><font face="Times New Roman">(</font></span><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">mass</span><span lang="EN-US"><font face="Times New Roman">)</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">。为了生产合适的产品，公司最好按指标要求生产，而不是安排检测岗位。该材料以前是在工厂的一台机器上生产。但该机器几个星期前经过一年一次的大修</span><span lang="EN-US"><font face="Times New Roman">, </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">有人怀疑产品质量因此受到影响。</span><span lang="EN-US" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Table 1</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">是生产参数的说明</span><span lang="EN-US"><font face="Times New Roman">; </font></span><span lang="EN-US" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;">Table 2</span><span lang="EN-US"><font face="Times New Roman"> </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">是质量标准</span><span lang="EN-US"><font face="Times New Roman">; </font></span><u><span lang="EN-US" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Excel file</span></u><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">包含有</span><span lang="EN-US"><font face="Times New Roman">200</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">个产品数据，其中</span><span lang="EN-US"><font face="Times New Roman">100</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">个是维修前的，另</span><span lang="EN-US"><font face="Times New Roman">100</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">个则是大修以后的。这些数据是生产部门用纸和笔记录下来，再由生产经理雇用的临时雇员打字输入的。现要求你对这些数据进行研究并考虑下列问题</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; mso-list: l0 level1 lfo1; tab-stops: list 18.0pt;"><span lang="EN-US" style="mso-fareast-font-family: 'Times New Roman';"><span style="mso-list: Ignore;"><font face="Times New Roman">1.<span style="FONT: 7pt 'Times New Roman';"> </span></font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">大修是否改变了产品质量？</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; mso-list: l0 level1 lfo1; tab-stops: list 18.0pt;"><span lang="EN-US" style="mso-fareast-font-family: 'Times New Roman';"><span style="mso-list: Ignore;"><font face="Times New Roman">2.<span style="FONT: 7pt 'Times New Roman';"> </span></font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">是否有必要调整生产参数？容易调整的变量包括：</span><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">length</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">，</span><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">left</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">和</span><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">right</span><span lang="EN-US"><font face="Times New Roman">. </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">调整</span><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">lower</span><span style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial;">或</span><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">upper</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">需要增加</span><span lang="EN-US"><font face="Times New Roman">10%</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">产品成本</span><span lang="EN-US"><font face="Times New Roman">. </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">你建议应该调整那些变量？</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; mso-list: l0 level1 lfo1; tab-stops: list 18.0pt;"><span lang="EN-US" style="mso-fareast-font-family: 'Times New Roman';"><span style="mso-list: Ignore;"><font face="Times New Roman">3.<span style="FONT: 7pt 'Times New Roman';"> </span></font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">生产经理是否可以通过削减全部（即不作任何检测）或部分（即检测部分变量）检测来节省成本？每个生产参数的检测费用是产品成本的</span><span lang="EN-US"><font face="Times New Roman">2%, </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">传导率</span><span lang="EN-US"><font face="Times New Roman">(</font></span><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">conductivity</span><span lang="EN-US"><font face="Times New Roman">) </font></span><span style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial;">或</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">质量</span><span lang="EN-US"><font face="Times New Roman">(</font></span><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">mass</span><span lang="EN-US"><font face="Times New Roman">)</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">的检测费用是产品成本的</span><span lang="EN-US"><font face="Times New Roman">10%.</font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><p><font face="Times New Roman"> </font></p></span></p><p><font face="Times New Roman"> </font></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">撰写一份</span><span lang="EN-US"><font face="Times New Roman">4000</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">至</span><span lang="EN-US"><font face="Times New Roman">5000</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">字的报告交给公司经理</span><span lang="EN-US"><font face="Times New Roman">. </font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">你需要用数据分析来支持你的建议。给出你选用建模工具和分析结果的解释。针对具有统计建模专业知识的经理助理，写一个附录介绍技术根据。</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><p><font face="Times New Roman"> </font></p></span></p><p><font face="Times New Roman"> </font></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><p><font face="Times New Roman"> </font></p></span></p><p><font face="Times New Roman"> </font></p><p></p><p class="MsoBodyText2" style="MARGIN: 0cm 0cm 0pt;"><b><span lang="EN-GB" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 10.0pt;">Table 1</span></b><span lang="EN-GB" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 10.0pt;"><span style="mso-tab-count: 1;"> </span>Attributes associated with data provided <p></p></span></p><p></p><p></p><div align="center"><table class="MsoNormalTable" cellspacing="0" cellpadding="0" border="1" style="BORDER-RIGHT: medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-table-layout-alt: fixed; mso-border-top-alt: solid green 1.5pt; mso-border-bottom-alt: solid green 1.5pt; mso-yfti-tbllook: 191; mso-padding-alt: 0cm 1.5pt 0cm 1.5pt; mso-border-insideh: cell-none; mso-border-insidev: cell-none;"><tbody><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 0; mso-yfti-firstrow: yes;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: green 1.5pt solid; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: green 1pt solid; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid green 1.5pt; mso-border-bottom-alt: solid green .75pt;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Code <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: green 1.5pt solid; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: green 1pt solid; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid green 1.5pt; mso-border-bottom-alt: solid green .75pt;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Description <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 1;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid green .75pt;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">item <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid green .75pt;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Number in sample <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 2;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">length <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Measurement of item length <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 3;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">left <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Measurement of item left side length <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 4;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">right <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Measurement of item right side length <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 5;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">lower <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Measurement of item lower layer thickness <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 6;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">upper <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Measurement of item upper layer thickness <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 7;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">conductivity <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Measurement of electrical resistance through the layers <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 8;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">mass <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Item mass <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 9; mso-yfti-lastrow: yes;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: green 1.5pt solid; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">old <p></p></span></p><p></p><p></p></td><td valign="top" width="412" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: green 1.5pt solid; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Binary variable, 1 indicates item from before overhaul. <p></p></span></p><p></p><p></p></td></tr></tbody></table></div><p class="MsoBodyText2" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-GB" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 10.0pt;"><p> </p></span></p><p> </p><p></p><p class="MsoBodyText2" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-GB" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 10.0pt;">These data are provided in an accompanying <a name="OLE_LINK1"><u>Excel file</u></a>. <p></p></span></p><p></p><p></p><p class="MsoBodyText2" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-GB" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 10.0pt;"><p> </p></span></p><p> </p><p></p><p class="MsoBodyText2" style="MARGIN: 0cm 0cm 0pt;"><b style="mso-bidi-font-weight: normal;"><span lang="EN-GB" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 10.0pt;">Table 2</span></b><span lang="EN-GB" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 10.0pt;"><span style="mso-tab-count: 1;"> </span>QA specifications. The agreement is that 98% of items delivered should be within the following limits. <p></p></span></p><p></p><p></p><p class="MsoBodyText2" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-GB" style="FONT-SIZE: 11pt; FONT-FAMILY: Arial; mso-bidi-font-size: 10.0pt;"><p> </p></span></p><p> </p><p></p><div align="center"><table class="MsoNormalTable" cellspacing="0" cellpadding="0" border="1" style="BORDER-RIGHT: medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-table-layout-alt: fixed; mso-border-top-alt: solid green 1.5pt; mso-border-bottom-alt: solid green 1.5pt; mso-yfti-tbllook: 191; mso-padding-alt: 0cm 1.5pt 0cm 1.5pt; mso-border-insideh: cell-none; mso-border-insidev: cell-none;"><tbody><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 0; mso-yfti-firstrow: yes;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: green 1.5pt solid; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: green 1pt solid; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid green 1.5pt; mso-border-bottom-alt: solid green .75pt;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Code <p></p></span></p><p></p><p></p></td><td valign="top" width="412" colspan="2" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: green 1.5pt solid; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 308.75pt; PADDING-TOP: 0cm; BORDER-BOTTOM: green 1pt solid; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid green 1.5pt; mso-border-bottom-alt: solid green .75pt;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">Upper and lower limits (98% tolerance) <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 1;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">length <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.35pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">218.75 <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">217.19 <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 2;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">left <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.35pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">131.87 <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">130.41 <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 3;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">right <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.35pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">130.94 <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">129.51 <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 4;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">lower <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.35pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">10.19 <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">7.62 <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 5;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">upper <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.35pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">11.67 <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">9.07 <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 6;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">conductivity <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.35pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">147.4 <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: #ece9d8; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">145.63 <p></p></span></p><p></p><p></p></td></tr><tr style="HEIGHT: 11.3pt; mso-yfti-irow: 7; mso-yfti-lastrow: yes;"><td valign="top" width="97" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 72.7pt; PADDING-TOP: 0cm; BORDER-BOTTOM: green 1.5pt solid; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 11pt; LAYOUT-GRID-MODE: line; FONT-FAMILY: Arial; mso-bidi-font-size: 12.0pt;">mass <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.35pt; PADDING-TOP: 0cm; BORDER-BOTTOM: green 1.5pt solid; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">4.19 <p></p></span></p><p></p><p></p></td><td valign="bottom" width="206" style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 1.5pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 1.5pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 154.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: green 1.5pt solid; HEIGHT: 11.3pt; BACKGROUND-COLOR: transparent;"><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 10pt; FONT-FAMILY: Arial;">4 <p></p></span></p><p></p><p></p></td></tr></tbody></table></div><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><p><font face="Times New Roman"> </font></p></span></p><p><font face="Times New Roman"> </font></p><p></p></span><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face="Times New Roman"></font></span> </p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face="Times New Roman">附带数据:<a href="http://math.dhu.edu.cn/mmadhu/竞赛资料/东华大学数学建模竞赛/2006/ProblemB_data.xls">http://math.dhu.edu.cn/mmadhu/竞赛资料/东华大学数学建模竞赛/2006/ProblemB_data.xls</a>竞赛资料/东华大学数学建模竞赛/2006/ProblemB_data.xls</font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face="Times New Roman"></font></span> </p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face="Times New Roman">详情请登陆：<a href="http://math.dhu.edu.cn/mmadhu/">http://math.dhu.edu.cn/mmadhu/</a></font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face="Times New Roman"></font></span> </p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face="Times New Roman"></font></span> </p>[此贴子已经被作者于2006-6-1 8:56:04编辑过] 大家有空讨论下，题目难啊 题目太难啊。有高手吗，指点指点一下 good, just finished reading...
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