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1、專業(yè)好文檔模擬試題一、單項(xiàng)選擇題:(每小題4分,共20分)1. 若某物資的總供應(yīng)量( )總需求量,可增設(shè)一個(gè)虛銷地,其需求量取總供應(yīng)量與總需求量的差額,并取各產(chǎn)地到該銷地的單位運(yùn)價(jià)為0,則可將該不平衡運(yùn)輸問題化為平衡運(yùn)輸問題。(a) 等于(b) 小于(c) 大于(d) 不超過2線性規(guī)劃問題化為標(biāo)準(zhǔn)形式后,其矩陣形式為l( )。(a) (b) (c) (d) 3. 矩陣的逆矩陣為( )。(a) (b) (c) (d) 4設(shè)運(yùn)輸某物品q噸的成本(單位:元)函數(shù)為c(q)q250q2000,則運(yùn)輸該物品100噸時(shí)的平均成本為( )元/噸。(a) 170(b) 250(c) 1700(d) 17000
2、5. 已知運(yùn)輸某物品q噸的邊際收入函數(shù)為mr (q),則運(yùn)輸該物品從100噸到300噸時(shí)的收入增加量為( )。(a) (b) (c) (d) 二、計(jì)算題:(每小題7分,共21分)6已知矩陣,求:abc7. 設(shè),求:8. 計(jì)算定積分:三、編程題:(每小題6分,共12分)9. 試寫出用matlab軟件求函數(shù)的二階導(dǎo)數(shù)的命令語句。10. 試寫出用matlab軟件計(jì)算定積分的命令語句。四、應(yīng)用題(第11、12題各14分,第13題19分,共47分)11. 某物流企業(yè)生產(chǎn)某種商品,其年銷售量為1000000件,每批生產(chǎn)需準(zhǔn)備費(fèi)1000元,而每件商品每年庫存費(fèi)為0.05元,如果該商品年銷售率是均勻的,試求經(jīng)
3、濟(jì)批量。12. 某物流公司下屬企業(yè)經(jīng)過對(duì)近期銷售資料分析及市場預(yù)測(cè)得知,該企業(yè)生產(chǎn)的甲、乙、丙三種產(chǎn)品,均為市場緊俏產(chǎn)品,銷售量一直持續(xù)上升經(jīng)久不衰。今已知上述三種產(chǎn)品的單位產(chǎn)品原材料消耗定額分別為4公斤、4公斤和5公斤;三種產(chǎn)品的單位產(chǎn)品所需工時(shí)分別為6臺(tái)時(shí)、3臺(tái)時(shí)和6臺(tái)時(shí)。另外,三種產(chǎn)品的利潤分別為400元/件、250元/件和300元/件。由于生產(chǎn)該三種產(chǎn)品的原材料和工時(shí)的供應(yīng)有一定限制,原材料每天只能供應(yīng)180公斤,工時(shí)每天只有150臺(tái)時(shí)。試建立在上述條件下,如何安排生產(chǎn)計(jì)劃,使企業(yè)生產(chǎn)這三種產(chǎn)品能獲得利潤最大的線性規(guī)劃模型,并寫出用matlab軟件計(jì)算該線性規(guī)劃問題的命令語句。13.
4、設(shè)某物資要從產(chǎn)地a1,a2,a3調(diào)往銷地b1,b2,b3,b4,運(yùn)輸平衡表(單位:噸)和運(yùn)價(jià)表(單位:百元/噸)如下表所示:運(yùn)輸平衡表與運(yùn)價(jià)表銷地產(chǎn)地b1b2b3b4供應(yīng)量b1b2b3b4a17311311a241928a3974105需求量365620(1)在下表中寫出用最小元素法編制的初始調(diào)運(yùn)方案:運(yùn)輸平衡表與運(yùn)價(jià)表銷地產(chǎn)地b1b2b3b4供應(yīng)量b1b2b3b4a17311311a241928a3974105需求量365620(2)檢驗(yàn)上述初始調(diào)運(yùn)方案是否最優(yōu),若非最優(yōu),求最優(yōu)調(diào)運(yùn)方案,并計(jì)算最低運(yùn)輸總費(fèi)用。參考答案一、單項(xiàng)選擇題(每小題4分,共20分)1c 2b 3b 4a 5d二、計(jì)算
5、題(每小題7分,共21分)6. 7. 8. 三、編程題(每小題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、應(yīng)用題(第11、12題各14分,第13題19分,共47分)11. 庫存總成本函數(shù)令得定義域內(nèi)的惟一駐點(diǎn)q200000件。即經(jīng)濟(jì)批量為200000件。12. 設(shè)生產(chǎn)甲、乙、丙三種產(chǎn)品分別為x1件、x2件和x3件,顯然x1,x2,x30線性規(guī)劃模型為解上述線性規(guī)劃問題的語句為: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. 用最小元素法編制的初始調(diào)運(yùn)方案如下表所示:運(yùn)輸平衡表與運(yùn)價(jià)表銷地產(chǎn)地b1b2b3b4供應(yīng)量b1b2b3b4a1437311311a23141928a363974105需求量365620找空格對(duì)應(yīng)的閉回路,計(jì)算檢驗(yàn)數(shù):l111,l121,l220,l242已出現(xiàn)負(fù)檢驗(yàn)數(shù),方案需要調(diào)整,調(diào)整量為 q1調(diào)整后的第二個(gè)調(diào)運(yùn)方案如下表:運(yùn)輸平衡表與運(yùn)價(jià)表銷地產(chǎn)地b1b2b3b4供應(yīng)量b1b2b3b4a1527311311a23141928a363974105需求量365
7、620求第二個(gè)調(diào)運(yùn)方案的檢驗(yàn)數(shù):l111已出現(xiàn)負(fù)檢驗(yàn)數(shù),方案需要再調(diào)整,調(diào)整量為 q2調(diào)整后的第三個(gè)調(diào)運(yùn)方案如下表:運(yùn)輸平衡表與運(yùn)價(jià)表銷地產(chǎn)地b1b2b3b4供應(yīng)量b1b2b3b4a1257311311a21341928a363974105需求量365620求第三個(gè)調(diào)運(yùn)方案的檢驗(yàn)數(shù):l122,l141,l222,l231,l319,l3312所有檢驗(yàn)數(shù)非負(fù),故第三個(gè)調(diào)運(yùn)方案最優(yōu),最低運(yùn)輸總費(fèi)用為: 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: missi
14、on 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 to be very calm - winds less than 2 mph, with no precipitation or humidity and limited cloud cover. the balloon, with capsule attached, will m
15、ove through the lower level of the atmosphere (the troposphere) where our day-to-day weather lives. it will climb higher than the tip of mount everest (5.5 miles/8.85 kilometers), drifting even higher than the cruising altitude of commercial airliners (5.6 miles/9.17 kilometers) and into the stratos
16、phere. as he crosses the boundary layer (called the tropopause),e can expect a lot of turbulence.the balloon will slowly drift to the edge of space at 120,000 feet ( then, i would assume, he will slowly step out onto something resembling an olympic diving platform.they blew it in 2008 when they got
17、caught cold in the final and they will not make the same mistake against the kiwis in manchester.five years ago they cruised through to the final and so far history has repeated itself here - the last try they conceded was scored by englands josh charnley in the opening game of the tournament.that c
18、ould be classed as a weakness, a team under-cooked - but i have been impressed by the kangaroos focus in their games since then.they have been concentrating on the sort of stuff that wins you tough, even contests - strong defence, especially on their own goal-line, completing sets and a good kick-chase. theyve been great at all the unglamorous stuff that often goes unnoticed in the stands bu
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