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1、专业好文档模拟试题一、单项选择题：（每小题4分，共20分）1. 若某物资的总供应量（ ）总需求量，可增设一个虚销地，其需求量取总供应量与总需求量的差额，并取各产地到该销地的单位运价为0，则可将该不平衡运输问题化为平衡运输问题。(A) 等于(B) 小于(C) 大于(D) 不超过2线性规划问题化为标准形式后，其矩阵形式为L（ ）。(A) (B) (C) (D) 3. 矩阵的逆矩阵为（ ）。(A) (B) (C) (D) 4设运输某物品q吨的成本（单位：元）函数为C(q)q250q2000，则运输该物品100吨时的平均成本为（ ）元/吨。(A) 170(B) 250(C) 1700(D) 17000
2、5. 已知运输某物品q吨的边际收入函数为MR (q)，则运输该物品从100吨到300吨时的收入增加量为（ ）。(A) (B) (C) (D) 二、计算题：（每小题7分，共21分）6已知矩阵，求：ABC7. 设，求：8. 计算定积分：三、编程题：（每小题6分，共12分）9. 试写出用MATLAB软件求函数的二阶导数的命令语句。10. 试写出用MATLAB软件计算定积分的命令语句。四、应用题（第11、12题各14分，第13题19分，共47分）11. 某物流企业生产某种商品，其年销售量为1000000件，每批生产需准备费1000元，而每件商品每年库存费为0.05元，如果该商品年销售率是均匀的，试求经
3、济批量。12. 某物流公司下属企业经过对近期销售资料分析及市场预测得知，该企业生产的甲、乙、丙三种产品，均为市场紧俏产品，销售量一直持续上升经久不衰。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。另外，三种产品的利润分别为400元/件、250元/件和300元/件。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。试建立在上述条件下，如何安排生产计划，使企业生产这三种产品能获得利润最大的线性规划模型，并写出用MATLAB软件计算该线性规划问题的命令语句。13.
4、设某物资要从产地A1，A2，A3调往销地B1，B2，B3，B4，运输平衡表（单位：吨）和运价表（单位：百元/吨）如下表所示：运输平衡表与运价表销地产地B1B2B3B4供应量B1B2B3B4A17311311A241928A3974105需求量365620（1）在下表中写出用最小元素法编制的初始调运方案：运输平衡表与运价表销地产地B1B2B3B4供应量B1B2B3B4A17311311A241928A3974105需求量365620（2）检验上述初始调运方案是否最优，若非最优，求最优调运方案，并计算最低运输总费用。参考答案一、单项选择题（每小题4分，共20分）1C 2B 3B 4A 5D二、计算
5、题（每小题7分，共21分）6. 7. 8. 三、编程题（每小题6分，共12分）9. clear;syms x y;y=log(sqrt(x+x2)+exp(x);dy=diff(y,2)10. clear;syms x y;y=x*exp(sqrt(x);int(y,0,1)四、应用题（第11、12题各14分，第13题19分，共47分）11. 库存总成本函数令得定义域内的惟一驻点q200000件。即经济批量为200000件。12. 设生产甲、乙、丙三种产品分别为x1件、x2件和x3件，显然x1，x2，x30线性规划模型为解上述线性规划问题的语句为：clear;C=-400 250 300;A=
6、4 4 5;6 3 6;B=180;150;LB=0;0;0;X,fval,exitflag=linprog(C,A,B,LB)13. 用最小元素法编制的初始调运方案如下表所示：运输平衡表与运价表销地产地B1B2B3B4供应量B1B2B3B4A1437311311A23141928A363974105需求量365620找空格对应的闭回路，计算检验数：l111，l121，l220，l242已出现负检验数，方案需要调整，调整量为 q1调整后的第二个调运方案如下表：运输平衡表与运价表销地产地B1B2B3B4供应量B1B2B3B4A1527311311A23141928A363974105需求量365
7、620求第二个调运方案的检验数：l111已出现负检验数，方案需要再调整，调整量为 q2调整后的第三个调运方案如下表：运输平衡表与运价表销地产地B1B2B3B4供应量B1B2B3B4A1257311311A21341928A363974105需求量365620求第三个调运方案的检验数：l122，l141，l222，l231，l319，l3312所有检验数非负，故第三个调运方案最优，最低运输总费用为： 23531138643585（百元） 19分Winger Tuivasa-Sheck, who scored two tries in the Kiwis 20-18 semi-final win
8、over England, has been passed fit after a lower-leg injury, while Slater has been named at full-back but is still recovering from a knee injury aggravated against USA.Both sides boast 100% records heading into the encounter but Australia have not conceded a try since Josh Charnleys effort in their f
9、irst pool match against England on the opening day.Aussie winger Jarryd Hayne is the competitions top try scorer with nine, closely followed by Tuivasa-Sheck with eight.But it is recently named Rugby League International Federation player of the year Sonny Bill Williams who has attracted the most in
10、terest in the tournament so far.The Kiwi - with a tournament high 17 offloads - has the chance of becoming the first player to win the World Cup in both rugby league and rugby union after triumphing with the All Blacks in 2011.Id give every award back in a heartbeat just to get across the line this
11、weekend, said Williams.The (lack of) air up there Watch mCayman Islands-based Webb, the head of Fifas anti-racism taskforce, is in London for the Football Associations 150th anniversary celebrations and will attend Citys Premier League match at Chelsea on Sunday.I am going to be at the match tomorro
12、w and I have asked to meet Yaya Toure, he told BBC Sport.For me its about how he felt and I would like to speak to him first to find out what his experience was.Uefa hasopened disciplinary proceedings against CSKAfor the racist behaviour of their fans duringCitys 2-1 win.Michel Platini, president of
13、 European footballs governing body, has also ordered an immediate investigation into the referees actions.CSKA said they were surprised and disappointed by Toures complaint. In a statement the Russian side added: We found no racist insults from fans of CSKA. Baumgartner the disappointing news: Mission aborted.The supersonic descent could happen as early as Sunda.The weather plays an important role in this mission. Starting at the ground, conditions have
