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1、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( )。A. B. C. D. 2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A=1 0 1; -2 2 1,则矩阵A表示为( )。A. B. C. D. 5用MATLAB软件求逆矩阵的命令函数为( )。A. rrefB. clearC. invD. eye二、计算题(每小题10分,共30分)6设,计算B
2、A。7将下列线性规划模型的标准形式化为矩阵形式:8某线性方程组的增广矩阵D对应的行简化阶梯形矩阵为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
3、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
4、型后得结果为:Optimization terminated.X =fval = 3.1000e+003 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)1C 2B 3D 4A 5C二、计算题(每小题10分,共30分)6解: 10分7解:该线性规划模型的矩阵形式为:其中:C80 210 120 500 60,G0 0 0 0 1,H400,Xx1 x2 x3 x4 x5T,LB0 0 0 0 0T 10分8解:行简化阶梯形矩阵对应的线性方程组为: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
5、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: 10分(2)令,此线性规划模型的标准形式为: 15分计算该线性规划模型的MATLAB语句为:>>clear;>>C=-400 -250 -300; >>G=4 4 5; 6 3 6;>>H=180 150;>>LB=0 0 0;>>X,fval=linprog(C,G,H,LB) 20分10解:
6、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11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(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Indonesia has emerged
7、as a top vacation destination for Chinese this summer, along with Thailand's Phuket island and the Maldives archipelago. Encouraged by growth in Chinese travelers to Indonesia, the government in Jakarta has recently relaxed its visa policy. Since June 10, Chinese tourists can enter Indonesia thr
8、ough nine appointed locations, including the Soekarno Hatta International Airport in Jakarta, the Ngurah Rai International Airport in Bali and the Kuala Namu International Airport in Medan, by just getting their passports stamped on arrival. Officially, it is called the "free-visa" scheme.
9、 The new policy also means Chinese tourists can save $35 on visa fees, which will likely make trips to Indonesia more alluring. While such an arrangement allows Chinese visitors to stay up to 30 days for the purpose of traveling, those seeking extensions will need to get paid visas from that country
10、's missions inBeijing, Shanghai, Guangzhou or Hong Kong, according to an official at the Indonesia embassy in Beijing. Santo Darmosumarto, head of the embassy's information, social and cultural section, says the new policy is aimed at strengthening people-to-people contac
11、ts between the two countries. Dai Yu, marketing director of Ctrip, a major Chinese online travel agency, says: "We've seen a nearly 50 percent growth over the previous month in the number of Chinese tourists to Bali since the policy was announced." During his trip to China in March, In
12、donesian President Joko Widodo proposed that his country and China aim to increase two-way visits to a maximum of 10 million people in the next few years. The Indonesian government has set their sights on greeting 2 million Chinese tourists by the end of this year, according to the official. "T
13、he Indonesian government hopes that Indonesian nationals would also be given preferential treatment while visiting China," says Darmosumarto. In 2013, the number of Chinese tourists who visited Indonesia stood around 807,000. Last year, it increased to 959,000, he adds. Bali remains the most po
14、pular site among Chinese tourists. In February, more than 92,200 Chinese tourists made trips to Bali, ranking first among overseas visitors, the Bali Times reported. Last year, the island witnessed more than 586,000 arrivals from China, an increase of 51 percent over 2013. "Bali isn't just
15、for sightseeing, but also for weddings, honeymoons, golf and many outdoor activities," says Fan Wenqing, a marketing executive at Garuda, Indonesia's national airliner. Garuda offers three nonstop flights between Beijing and Bali, and four each week between Beijing and Jakarta. There are da
16、ily flights from Guangzhou, in Guangdong province, and Shanghai to Jakarta as well. It takes from six to eight hours on a nonstop flight to reach Indonesia from China. Indonesia is home to more than 17,000 islands. Tourists can tour Yogyakarta to see Prambanam and Borobudur, two historical
17、 and religious sites, and explore the local handicraft markets. The base of a volcano, Bandung, which is also known as the "Paris of Java", is ideal for adventure-seekers. Many ecotourism destinations, such as Toba Lake in Sumatra, Tanjung Puting National Park in Kalimantan and Bunaken in
18、Manado, are places the embassy official recommends for tourists. Indonesia boasts world-class surfing facilities along the shores of Sumatra down to Nusa Tenggara Islands. Recently, Lombok, a sister island east of Bali has gotten so much attention from Chinese travelers that some travel agencies are
19、 offering twin packages for Bali and Lombok. The best time to visit Bali is from May to October, when it doesn't rain much and the weather is cool. At press time, a weeklong package from Shanghai or Guangzhou to Bali was a little more than 3,000 yuan ($480) on Ctrip's website. Chin
20、ese tourists have taken a shine to rafting in Ubud, sightseeing in Tanah Lot, and surfing and diving in Nusa Lembongan, says Dai. Civet coffee, essential oil and woodcarvings are among the most popular products for Chinese tourists in Indonesia, she says. Indonesian food is also something that visit
21、ors shouldn't miss. Local cuisines feature many spices, including peppers and cloves, and coconut pulp. Fried rice, "dirty duck" and roast suckling pig are recommended. Children's illustration books first appeared in the 1600s in Europe. Their passage to China, however, took much l
22、onger, roughly 300 years. In China, children's illustration books have a history of just 100 years and their development can be divided into four stages. From early 1900s to mid 1900s, a large number of books and magazines with illustrations appeared with the fast development of the modern publi
23、shing industry. The illustration arts at that time were a mixed genre of Chinese traditional paintings and the western style, and most of the stories originate from the fundamental changes that China experienced after the collapse of Qing Dynasty (1644-1911), the warlord struggles and
24、 the war against the Japanese invasion. The second stage was from mid 1900s to late 1970s, when the "cultural revolution" (1966-76) ended. The fast development of some special publishing houses for children gave birth to a large number of illustration-story books, which made a good use of
25、folk art techniques, such as wood board carving, frescoes, and ink and wash painting, etc. Many of the popular stories are from Chinese history and wars after 1900s. The third stage is from early 1980s to late 1990s, a golden period for the development of children's illustration books. The refor
26、m and opening-up brought in new concepts and ideas from the West to China, a country that had been closed to the West for nearly three decades. Fast development of economy, society and culture provided the writers and painters with a lot of inspiration to create new literature works and draw illustr
27、ations. China also imported large amounts of children's illustration books from the West and Japan. Many young parents in China have a strong nostalgia about children's illustration books they read in the 1980s and 1990s. This is also the last era in China's artistic innovation before th
28、e advent of the Internet period. The fourth stage is featured with the spread of the Internet and the other computerized means of art innovation. The hand-drawn children's illustration books are gradually replaced by cartoons drawn and copied by software and machines, and shown on tablets, compu
29、ters, television and smart phones, instead of books. Hainan Tropical Wildlife Park and Botanical Garden is nature's haven, with no less than 4,000 rare birds and animals representing 200 species. With tropical forest covering over 90 percent of its area, the garden offers beautiful views of a wi
30、de range of tropical plants, flowers and fruit trees. The scenic spot about 25 kilometers from the center of Haikou offers a drive-thru safari tour where you can get up close with elephants, lions and bears. The "Safari on Foot" area features walking trails where visitors can see the rest
31、of the animals, including hippos and monkeys, and feed them for a small fee. Visitors also can see what happens when you breed a lion and a tiger. Two unique attractions are rare hybrids: a liger, the offspring of a mallion and a female tiger and a tigon, which is created by a female lion and a male
32、 tiger. As a teaching center of the National Popular Science Education program, the park also serves as a second classroom for students to learn about wildlife and plants. Since it was established in 1995, it has received more than one million student visitors. At a crucial moment when pessimis
33、m has brought the Greek crisis to such a head that the country is closer to a default on its debt repayments than ever, Li offered a spark of enthusiasm to restart the stalled talks by calling on Greece and its creditors to reach a last-minute deal that will allow Greece to remain in the eurozone. G
34、iven the escalation of the country's crisis over the weekend sent a shock wave through the global stock markets on Monday, there are ample reasons to worry about the uncertainties surrounding the events in Greece and the effect a default would have on Europe, relations between China and the EU,
35、global financial stability and the nascent global economic recovery. Greece has announced that it will hold a referendum on a bailout plan proposed last week by the country's creditors. In response, Greece's eurozone partners have refused to extend the country's bailout program and the E
36、uropean Central Bank capped its emergency support for the country's banks. A real danger now looms of Greece exiting the euro, which might derail the global economic recovery and damage the long-term viability of the euro as a currency. However, such a tragedy is neither certain nor unavoidable.
37、 The EU should shoulder its responsibility to prevent the Greek crisis from overshadowing the fragile global recovery. As a major customer and supplier of the 28-nation EU, and a responsible long-term holder of Eurobonds, China's confidence in and commitment to a strong eurozone offers EU leader
38、s the necessary support to look at the Greek crisis from a broader and longer perspective. When Li said that China will not only consider a China-EU investment platform to back European Commission President Jean-Claude Juncker's plan to revive the European economy, but also buy more bonds issued by the European Investme
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