## 3 Results and Discussion
### Optimization of the Enzymatic Hydrolysis Process
All of this highlights the importance of properly adjusting process parameters in enzymatic hydrolysis, especially in the development of functional foods and supplements that aim to maximize antioxidant activity. Therefore, the present study contributes to a deeper understanding of the interaction between enzymes and plant proteins, offering new opportunities for the utilization of hemp proteins in various industries. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Sample**} & \multicolumn{3}{c}{**Radical Scavenging Activity (mg TE/g)**} \\ \cline{2-5}  & **DPPH** & **ABTS** \\ \hline HSC & \(0.323\pm 0.057\) & \(2.357\pm 0.181\) \\ LHPH & \(6.227\pm 0.064\) & \(26.378\pm 0.411\) \\ \hline \hline \end{tabular}
\end{table} 
Table 11: Radical-scavenging activity of LHPH after enzymatic hydrolysis of HSC under the established optimal conditions. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Name**} & \multicolumn{3}{c}{**Goal**} & **Lower Limit** & **Upper Limit** & **Lower Weight** & **Upper Weight** & **Importance** \\ \hline A: Bromelain concentration & is in range & \(-1\) & 1 & 1 & 1 & 3 \\ B: Temperature & is in range & \(-1\) & 1 & 1 & 1 & 3 \\ C: Hydrolysis time & is in range & \(-1\) & 1 & 1 & 1 & 3 \\ DPPH & maximize & \(51.3567\) & \(80.1767\) & \(0.794328\) & 1 & 5 \\ StdErr(DPPH) & none & \(0.443767\) & \(1.15294\) & 1 & 1 & 3 \\ ABTS & maximize & \(33.6725\) & \(75.7325\) & 1 & 1 & 5 \\ StdErr(ABTS) & none & \(0.331345\) & \(0.860859\) & 1 & 1 & 3 \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Optimization constraints. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Number**} & \multicolumn{2}{c}{**Bromelain**} & \multirow{2}{*}{**Temperature**} & \multicolumn{2}{c}{**Hydrolysis**} & \multirow{2}{*}{**DPPH**} & \multicolumn{2}{c}{**StdErr**} & \multirow{2}{*}{**ABTS**} & \multicolumn{2}{c}{**StdErr**} & \multirow{2}{*}{**Desirability**} \\  & \multicolumn{2}{c}{**Concentration**} & & & & & & & & \\  & \multicolumn{2}{c}{**Temperature**} & \multicolumn{2}{c}{**DPPH**} & \multicolumn{2}{c}{**(DPPH)**} & \multicolumn{2}{c}{**(ABTS)**} & \multicolumn{2}{c}{**Desirability**} \\ \hline
1 & \(1.000\) & \(1.000\) & \(-1.000\) & \(67.789\) & \(1.541\) & \(73.039\) & \(1.151\) & \(0.774\) & Selected \\
2 & \(1.000\) & \(1.000\) & \(-1.000\) & \(67.788\) & \(1.541\) & \(73.035\) & \(1.151\) & \(0.774\) & \\
3 & \(1.000\) & \(1.000\) & \(-0.992\) & \(67.801\) & \(1.534\) & \(72.959\) & \(1.146\) & \(0.773\) & \\
4 & \(1.000\) & \(0.992\) & \(-1.000\) & \(67.780\) & \(1.534\) & \(72.996\) & \(1.145\) & \(0.773\) & \\
5 & \(1.000\) & \(0.992\) & \(-1.000\) & \(67.780\) & \(1.534\) & \(72.992\) & \(1.145\) & \(0.773\) & \\
6 & \(1.000\) & \(1.000\) & \(-0.985\) & \(67.811\) & \(1.527\) & \(72.880\) & \(1.140\) & \(0.773\) & \\
7 & \(1.000\) & \(0.981\) & \(-1.000\) & \(67.766\) & \(1.524\) & \(72.936\) & \(1.138\) & \(0.773\) & \\
8 & \(0.992\) & \(1.000\) & \(-1.000\) & \(67.751\) & \(1.534\) & \(72.955\) & \(1.146\) & \(0.772\) & \\
9 & \(1.000\) & \(1.000\) & \(-0.973\) & \(67.831\) & \(1.516\) & \(72.752\) & \(1.132\) & \(0.772\) & \\
10 & \(1.000\) & \(0.965\) & \(-1.000\) & \(67.746\) & \(1.510\) & \(72.850\) & \(1.127\) & \(0.771\) & \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Results of numerical optimization. The results of this study have significant potential for application in various industries, including food, cosmetics, and pharmaceuticals. The hydrolyses obtained from hemp proteins, characterized by high antioxidant activity, can be utilized as functional ingredients in a variety of food products aimed at improving health and well-being. For instance, these hydrolyses can be incorporated into the production of functional beverages, energy bars, and dietary supplements focused on antioxidant protection and immune system support. In the cosmetics industry, hemp protein hydrolyses can be used in the development of anti-aging products and skin protection creams due to their antioxidant properties.