经济代写|市场经济学代写Market economy代考|ECON7200

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• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

经济代写|市场经济学代写Market economy代考|The production possibility frontier

The production possibility frontier can be used to demonstrate how opportunity costs arise when individuals or the community make choices. The production possibility frontier (sometimes also known as the production possibility curve) shows the various combinations of two alternative products that can be produced, given technology and a fixed quantity of resources, when all resources are used to their full capacity.

The following example of a production possibility frontier is based on a number of simplifying assumptions, including:

• the economy produces only two goods – oil and leather
• the state of technology is constant
• the quantity of resources available remains unchanged, and
• all resources are fully employed.

经济代写|市场经济学代写Market economy代考|A simple production possibility frontier

Given the above assumptions, we can construct a production possibility schedule. Figure $1.1$ shows the production possibilities that would result if all our resources were used and were divided between the production of oil and leather. By graphing the data in figure 1.1, we can construct the production possibility frontier in figure 1.2.
The production possibility frontier shows all the possible combinations of production of oil and leather at a given point in time. We may choose to produce only oil and no leather (point A on the diagram), or just leather and no oil (point B), or any combination of oil and leather between these two extremes. Society must choose which combination is most desirable.

The production possibility frontier shows the maximum an economy can produce at a given point in time. All points on the frontier itself represent points at which the economy is operating at full productive capacity – that is, all resources are fully employed. If the economy were producing at a point inside the curve, it would be producing less than its maximum possible output and resources would not be fully employed.

When society wants to change its production combination, there is a cost involved – the opportunity cost. This can be illustrated by the following example. Assume that the economy is producing at point A on the production possibility frontier ( 160 units of oil and no leather) but wanted to move to point B (120 units of oil and 20 units of leather). In order to get the 20 units of leather we would have to give up 40 units of oil. Therefore, the opportunity cost of obtaining the 20 units of leather is 40 units of oil.

We can calculate the opportunity cost of obtaining each individual unit of leather by dividing up the 40 oil units given up by the 20 leather units gained. Thus, for each unit of leather, we must give up 2 units of oil. In other words, the opportunity cost of leather is 2 units of oil.

经济代写|市场经济学代写Market economy代考|New technology and the frontier

However, the production possibility frontier does not always remain the same. With the application of new technology, we may be able to develop more efficient methods of production. This might allow us to produce a higher quantity of a good with the same resources. This can be represented by an outward shift of the production possibility frontier.

Applying this to the previous example, an improvement in technology, such as enhanced oil extraction methods, increases the maximum production level to 200 units of oil with the same level of resources as before. Figure $1.3$ shows the new production possibility frontier.

Anything that increases the availability of production inputs will change the production possibility frontier. This includes discovery of new resources, or an expansion of the population through immigration, which would increase the number of people available for work. As a result of these new inputs, we would be able to produce more of both goods. This would also push the production possibility frontier outward, as shown in figure 1.4.

经济代写|市场经济学代写Market economy代考|The production possibility frontier

• 经济只生产两种商品——石油和皮革
• 技术状态是不变的
• 可用资源的数量保持不变，并且
• 所有资源都得到充分利用。

有限元方法代写

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MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。