## 5 Application Example  
The empirical research context is Vietnam's dairy supply chain to demonstrate the utility and feasibility of the proposed model. ABC dairy corporation was chosen, which is currently the largest dairy company in Vietnam [63]. The ABC company currently has a complete supply chain with several farms, factories, and its own distribution system; moreover, their products have been distributed to nearly all supermarkets and retail points all over Vietnam. Towards sustainable development, ABC dairy firm's orientation would invest heavily in CSR initiatives and be directed to the five major objectives, including community development support; environment and energy; responsibility for employees; responsibility for products; and local economic development. Regarding the ABC dairy company's commitment to the stakeholders, they are committed to providing safe products to consumers with top quality and appropriate prices. Moreover, this company also declares complying with environmental regulations and integrating social responsibility into business strategies. Food products' characteristics are easily broken for many different reasons before reaching customers, combined with the ABC company's product quality assurance policy. Thus, the case study selected as the ABC dairy corporation would help the authors better assess the proposed model in the empirical research.  
The authors considered an application example of CSR initiatives to demonstrate the proposed model and verify the obtained analytical results. The real data were collected from ABC dairy firm and employed for the numerical analysis as following: \(k=\$80/cycle\), \(\beta_{0}=0.1\), \(\beta_{1}=0.03\), \(\beta_{2}=0.025\), \(p_{w}=\$10\), \(a=15\), \(b=9\), \(\alpha=7\), \(\beta=2\), \(\delta=4\).  
_Raw material source 1:_\(p_{1}=100/\)per unit time, \(h_{1}=\$0.01/\)per unit, \(\theta_{1}=0.03\), \(d_{1}=\$0.01/\)per unit.  
_Raw material source 2:_\(p_{2}=200/\)per unit time, \(h_{2}=\$0.02/\)per unit, \(\theta_{2}=0.02\), \(d_{2}=\$0.02/\)per unit.  
_Raw material source 3:_\(p_{3}=300/\)per unit time, \(h_{3}=\$0.375/\)per unit/per unit time, \(\theta_{3}=0.01\), \(d_{3}=\$0.03/\)per unit.  
_End product in showrooms:_\(p_{e}=60/\)per unit time, \(h_{e}=\$2/\)per unit/per unit time, \(\theta_{e}=0.05\), \(d_{e}=\$0.04/\)per unit.  
Then, we find the outcome as \(s^{*}=9.58943\); \(t_{n}^{*}=0.495389\); \(r^{*}=0.0595798\) and \(TP(s^{*},t_{n}^{*},r^{*})=287.392\).  
In the finding of this section, the authors evaluate the impact of implementing CSR practices on the company's inventory policy. Thus, the effect of changes in various parameters of the model, for example (in Table 1 of Appendix B), was indicated that the effects of \(h_{e}\), \(\beta_{2}\), and \(\theta_{e}\) on total profit are significant. These imply that the quality of the end product is essential for the ABC dairy enterprise.  
Thus, maintaining high-quality products secures a high level of demand by end customers whereas poor quality products affect the customer's confidence, reputation, and sales of the company. Aim to create a positive brand image through CSR activities of the enterprise towards the community. Hence, the dairy company was aware of the importance of the public, especially their target customers, having a positive perception of them. As Figure 2 indicated, the concave function of the total economic profit based on per unit time.