经济模型

The economic model that we will learn about in this lesson is the Leontief Input Output Model. This economic model is based on a matrix called the consumption matrix  $\begin{array}{r}C\end{array}$ . And the i,j entry is known as the monetary value from an industry called i which is needed to produce one unit of monetary value of industry j. 
::我们在这个教训中将学到的经济模型是Leontief 输入输出模型。这个经济模型以一个叫做消费矩阵C的矩阵为基础。 i,j条目被称为一个称为i的行业的货币价值,该行业需要它来产生一个单位的工业货币价值j。

If we have n industries that each produce  $\begin{array}{r}{x}_i\end{array}$  units then the vector of production,
::如果我们有n工业 每种生产xi单位 然后生产矢量,

  $\begin{array}{r}\stackrel{\to }{p}=\left[\begin{array}{c}{x}_1\\ ⋮\\ x_n\end{array}\right]\end{array}$
::[x1]%xn]

The consumption by all industries will be the matrix-vector product
::所有行业的消费将是矩阵矢量产品

$\begin{array}{r}C\cdot \stackrel{\to }{p}\end{array}$
::

Then, the amount available for use by other industries is 
::然后,可供其他行业使用的数额是:

$\begin{array}{r}\stackrel{\to }{p}(I-C)\end{array}$
::p________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

These  resources introduce this topic in a more detailed fashion.
::这些资源更详细地介绍了这一专题。

Now, this video teaches you how to apply the Leontif economic model using the programming model R.
::现在,这段视频教你们如何运用莱昂蒂夫经济模型使用R编程模型。