From the perspective of input and output, the DEA-Tobit method is used to improve the corporate social responsibility input and corporate performance layer by layer, and the maximum likelihood estimation of the optimal solution is verified according to the DEA censored data. The empirical analysis of corporate social responsibility performance of listed manufacturing companies in Shanghai and Shenzhen stock market shows that the overall investment in corporate social responsibility optimization has more obvious fluctuation characteristics than the amount of corporate social responsibility. Meanwhile, corporate philanthropic responsibility input has more obvious fluctuation than corporate ethical responsibility in the improvement of corporate performance.

With China's economic sustainable development, people's living standards improved, but the attendant environmental problems are increasingly prominent, the greenhouse effect is particularly prominent. Many scholars pay much attention to the relationship between China's carbon emissions and foreign direct investment and export trade. The effect of foreign direct investment and export trade on carbon emissions were studied through the panel data of 28 provincial units of 2000-2012. The results show that the total amount of foreign direct investment was a positive correlation with the carbon emissions in China. From the relative close degree, foreign direct investment on carbon emissions was greater than the total amount of export trade. 

With the development of our national economy, the scale of investment increased gradually at the business. The characteristics of the introduction of FDI scale of 19992013 in Liaoning province were summarized, to evaluate the carbon emissions from 1999 to 2013 in Liaoning province. Correlation between exploring the introduction of Liaoning province FDI scale and carbon emissions was studied, and the econometric methods was used. Through the ADF unit root test, cointegration test, the Grainger causality test, and generalized impulse response function method, the relationship between the identities of both was established, and a detailed analysis was made, the relevant reduction of Liaoning province carbon emission was put forward to propose according to the empirical conclusion.