2015年电大管理线性规划入门期末模拟试题

电大管理线性规划入门模拟试题一、单项选择题（每小题4分，共20分）1已知矩阵，则A2BT（）。10123，ABA37B347C02D2042线性规划模型的标准形式要求目标函数（）。A求最大值B求最小值C没有限制D不求最优值3在MATLAB软件的算术运算符中，运算符“”表示（）运算。A乘方B除法C矩阵转置D乘法4在MATLAB软件的命令窗口中输入的矩阵A101221，则矩阵A表示为（）。A102B1C01D0125用MATLAB软件求逆矩阵的命令函数为（）。ARREFBCLEARCINVDEYE二、计算题（每小题10分，共30分）6设，计算BA。1102233，AB7将下列线性规划模型的标准形式化为矩阵形式1234551234MIN800600,JSXXXX8某线性方程组的增广矩阵D对应的行简化阶梯形矩阵为12100判断该线性方程组解的情况，若有解，写出该方程组的解。三、应用题（第9题20分，第10，11题各15分，共50分）9某公司生产甲、乙、丙三种产品。今已知上述三种产品的单位产品原材料消耗定额分别为4公斤、4公斤和5公斤；三种产品的单位产品所需工时分别为6台时、3台时和6台时。由于生产该三种产品的原材料和工时的供应有一定限制，原材料每天只能供应180公斤，工时每天只有150台时。另外，三种产品的利润分别为400元/件、250元/件和300元/件。（1）试建立能获得最大利润的线性规划模型；（2）写出该线性规划模型的标准形式，并写出用MATLAB软件计算该线性规划模型的命令语句。10某运输问题的运输平衡表（单位吨）与运价表（单位元/吨）如下表所示运输平衡表与运价表销地产地供应量A30867B45435C25748需求量603010100试写出使运输总费用最小的线性规划模型。11某企业制造某种产品，每瓶重量为500克，它是由甲、乙两种原料混合而成，要求每瓶中甲种原料最多不能超过400克，乙种原料至少不少于200克。而甲种原料的成本是每克5元，乙种原料每克8元。问每瓶产品中甲、乙两种原料的配比如何，才能使成本最小（1）试写出该配料问题的线性规划模型；（2）若用MATLAB软件计算该线性规划模型后得结果为OPTIMIZATIONTERMINATEDX30000002000000FVAL31000E003试写出该配料问题的甲、乙两种原料的最优配比量和最小成本。模拟试题答案及评分标准一、单项选择题（每小题4分，共20分）1C2B3D4A5C二、计算题（每小题10分，共30分）6解10分10122243357解该线性规划模型的矩阵形式为MINSCXGHABL其中C8021012050060，G00001，H400，XX1X2X3X4X5T，120543A0BLB00000T10分8解行简化阶梯形矩阵对应的线性方程组为142310X因为没有出现方程0D（0），所以该方程组有解，且线性方程的个数为3，小于变量的个数4，所以该线性方程组有无穷多个解。该线性方程组的一般解为（为自由变量）10分1423X4X三、应用题（第9题20分，第10，11题各15分，共50分）9解（1）设生产甲、乙、丙三种产品的产量分别为件、件和件，利润为S，则线性规划模型为1X23X10分0,1568432MA3211XXS（2）令，此线性规划模型的标准形式为S15分0,156384IN213321XXS计算该线性规划模型的MATLAB语句为CLEARC400250300G445636H180150LB000X,FVALLINPROGC,G,H,LB20分10解设产地A运送到销地，的运输量分别为X11，X12，X13（吨）；产地B运送到销地，的运输量分别为X21，X22，X23（吨）；产地C运送到销地，的运输量分别为X31，X32，X33（吨）。又设运输总费用为S，则线性规划模型为15分121322331213312133MIN867450560,23IJSXXXXJ11解（1）设每瓶产品中含甲原料X1克、乙原料X2克，成本为S，则该配料问题的线性规划模型为8分1212MIN5840,SXX（2）根据计算结果得甲原料300克、乙原料200克为最小成本的配比量，最小成本为3100元。15分请您务必删除一下内容，O_O万分谢谢2015年中央电大期末复习考试小抄大全，电大期末考试必备小抄，电大考试必过小抄INDONESIAHASEMERGEDASATOPVACATIONDESTINATIONFORCHINESETHISSUMMER,ALONGWITHTHAILANDSPHUKETISLANDANDTHEMALDIVESARCHIPELAGOENCOURAGEDBYGROWTHINCHINESETRAVELERSTOINDONESIA,THEGOVERNMENTINJAKARTAHASRECENTLYRELAXEDITSVISAPOLICYSINCEJUNE10,CHINESETOURISTSCANENTERINDONESIATHROUGHNINEAPPOINTEDLOCATIONS,INCLUDINGTHESOEKARNOHATTAINTERNATIONALAIRPORTINJAKARTA,THENGURAHRAIINTERNATIONALAIRPORTINBALIANDTHEKUALANAMUINTERNATIONALAIRPORTINMEDAN,BYJUSTGETTINGTHEIRPASSPORTSSTAMPEDONARRIVALOFFICIALLY,ITISCALLEDTHE“FREEVISA“SCHEMETHENEWPOLICYALSOMEANSCHINESETOURISTSCANSAVE35ONVISAFEES,WHICHWILLLIKELYMAKETRIPSTOINDONESIAMOREALLURINGWHILESUCHANARRANGEMENTALLOWSCHINESEVISITORSTOSTAYUPTO30DAYSFORTHEPURPOSEOFTRAVELING,THOSESEEKINGEXTENSIONSWILLNEEDTOGETPAIDVISASFROMTHATCOUNTRYSMISSIONSINBEIJING,SHANGHAI,GUANGZHOUORHONGKONG,ACCORDINGTOANOFFICIALATTHEINDONESIAEMBASSYINBEIJINGSANTODARMOSUMARTO,HEADOFTHEEMBASSYSINFORMATION,SOCIALANDCULTURALSECTION,SAYSTHENEWPOLICYISAIMEDATSTRENGTHENINGPEOPLETOPEOPLECONTACTSBETWEENTHETWOCOUNTRIESDAIYU,MARKETINGDIRECTOROFCTRIP,AMAJORCHINESEONLINETRAVELAGENCY,SAYS“WEVESEENANEARLY50PERCENTGROWTHOVERTHEPREVIOUSMONTHINTHENUMBEROFCHINESETOURISTSTOBALISINCETHEPOLICYWASANNOUNCED“DURINGHISTRIPTOCHINAINMARCH,INDONESIANPRESIDENTJOKOWIDODOPROPOSEDTHATHISCOUNTRYANDCHINAAIMTOINCREASETWOWAYVISITSTOAMAXIMUMOF10MILLIONPEOPLEINTHENEXTFEWYEARSTHEINDONESIANGOVERNMENTHASSETTHEIRSIGHTSONGREETING2MILLIONCHINESETOURISTSBYTHEENDOFTHISYEAR,ACCORDINGTOTHEOFFICIAL“THEINDONESIANGOVERNMENTHOPESTHATINDONESIANNATIONALSWOULDALSOBEGIVENPREFERENTIALTREATMENTWHILEVISITINGCHINA,“SAYSDARMOSUMARTOIN2013,THENUMBEROFCHINESETOURISTSWHOVISITEDINDONESIASTOODAROUND807,000LASTYEAR,ITINCREASEDTO959,000,HEADDSBALIREMAINSTHEMOSTPOPULARSITEAMONGCHINESETOURISTSINFEBRUARY,MORETHAN92,200CHINESETOURISTSMADETRIPSTOBALI,RANKINGFIRSTAMONGOVERSEASVISITORS,THEBALITIMESREPORTEDLASTYEAR,THEISLANDWITNESSEDMORETHAN586,000ARRIVALSFROMCHINA,ANINCREASEOF51PERCENTOVER2013“BALIISNTJUSTFORSIGHTSEEING,BUTALSOFORWEDDINGS,HONEYMOONS,GOLFANDMANYOUTDOORACTIVITIES,“SAYSFANWENQING,AMARKETINGEXECUTIVEATGARUDA,INDONESIASNATIONALAIRLINERGARUDAOFFERSTHREENONSTOPFLIGHTSBETWEENBEIJINGANDBALI,ANDFOUREACHWEEKBETWEENBEIJINGANDJAKARTATHEREAREDAILYFLIGHTSFROMGUANGZHOU,INGUANGDONGPROVINCE,ANDSHANGHAITOJAKARTAASWELLITTAKESFROMSIXTOEIGHTHOURSONANONSTOPFLIGHTTOREACHINDONESIAFROMCHINAINDONESIAISHOMETOMORETHAN17,000ISLANDSTOURISTSCANTOURYOGYAKARTATOSEEPRAMBANAMANDBOROBUDUR,TWOHISTORICALANDRELIGIOUSSITES,ANDEXPLORETHELOCALHANDICRAFTMARKETSTHEBASEOFAVOLCANO,BANDUNG,WHICHISALSOKNOWNASTHE“PARISOFJAVA“,ISIDEALFORADVENTURESEEKERSMANYECOTOURISMDESTINATIONS,SUCHASTOBALAKEINSUMATRA,TANJUNGPUTINGNATIONALPARKINKALIMANTANANDBUNAKENINMANADO,AREPLACESTHEEMBASSYOFFICIALRECOMMENDSFORTOURISTSINDONESIABOASTSWORLDCLASSSURFINGFACILITIESALONGTHESHORESOFSUMATRADOWNTONUSATENGGARAISLANDSRECENTLY,LOMBOK,ASISTERISLANDEASTOFBALIHASGOTTENSOMUCHATTENTIONFROMCHINESETRAVELERSTHATSOMETRAVELAGENCIESAREOFFERINGTWINPACKAGESFORBALIANDLOMBOKTHEBESTTIMETOVISITBALIISFROMMAYTOOCTOBER,WHENITDOESNTRAINMUCHANDTHEWEATHERISCOOLATPRESSTIME,AWEEKLONGPACKAGEFROMSHANGHAIORGUANGZHOUTOBALIWASALITTLEMORETHAN3,000YUAN480ONCTRIPSWEBSITECHINESETOURISTSHAVETAKENASHINETORAFTING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