# [转载]2018美国数学建模MCM B题(离散型)翻译 多少种语言?

PROBLEM B: How Many Languages?

Background: There are currently about 6,900 languages spoken on Earth. About half the world’s

population claim one of the following ten languages (in order of most speakers) as a native language:

Mandarin (incl. Standard Chinese), Spanish, English, Hindi, Arabic, Bengali, Portuguese, Russian,

Punjabi, and Japanese. However, much of the world’s population also speaks a second language. When

considering total numbers of speakers of a particular language (native speakers plus second or third, etc.

language speakers), the languages and their order change from the native language list provided. The

total number of speakers of a language may increase or decrease over time because of a variety of

influences to include, but not limited to, the language(s) used and/or promoted by the government in a

country, the language(s) used in schools, social pressures, migration and assimilation of cultural groups,

and immigration and emigration with countries that speak other languages. Moreover, in our globalized,

interconnected world there are additional factors that allow languages that are geographically distant to

interact. These factors include international business relations, increased global tourism, the use of

electronic communication and social media, and the use of technology to assist in quick and easy

language translation.

Problem: A large multinational service company, with offices in New York City in the United States

and Shanghai in China, is continuing to expand to become truly international. This company is

investigating opening additional international offices and desires to have the employees of each office

speak both in English and one or more additional languages. The Chief Operating Officer of the

company has hired your team to investigate trends of global languages and location options for new

offices.

Part I:

A. Consider the influences and factors described in the background paragraph above, as well as other

factors your group may identify. Based on projected trends, and some or all of these influences and

factors, model the distribution of various language speakers over time.

B. Use your model to predict what will happen to the numbers of native speakers and total language

speakers in the next 50 years. Do you predict that any of the languages in the current top-ten lists

(either native speakers or total speakers) will be replaced by another language? Explain.

C. Given the global population and human migration patterns predicted for the next 50 years, do the

geographic distributions of these languages change over this same period of time? If so, describe the

change.

Part II:

A. Based on your modeling from Part I, and assuming your client company wants to open six new

international offices, where might you locate these offices and what languages would be spoken in

the offices? Would your recommendations be different in the short term versus the long term?

B. Considering the changing nature of global communications, and in an effort to save your client

company resources, might you suggest that the company open less than six international offices?

Indicate what additional information you would need and describe how you would analyze this

Part III:

Write a 1-2 page memo to the Chief Operating Officer of the service company summarizing your

results and recommendations.

Note: In your analysis, ignore unpredictable or high-impact, low probability events such as asteroid

collisions that would cause a catastrophic jump in evolutionary trends over time, and possibly render all

languages extinct.

􀁸 One-page Summary Sheet,

􀁸 Two-page memo,

􀁸 Your solution of no more than 20 pages, for a maximum of 23 pages with your summary and

memo.

􀁸 Note: Reference list and any appendices do not count toward the 23-page limit and should appear

B题中文翻译：

A.考虑上述背景段所描述的影响和因素，以及其他因素。你的团队可能认同的因素。根据预测的趋势，以及一些或所有这些影响。因素，模型随着时间的推移，各种语言使用者的分布。

B.考虑到全球通信的变化性质，并努力拯救你的客户。

•页表,

•两页的备忘录,

•您的解决方案不超过20页,最多23页和总结

•注意:参考列表和任何附件不能算在一份长达23页的限制,应该出现

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