## 4 Computational Results and Discussions
### An Example of Crop Pattern Solution  
This sub-section describes an example of a crop pattern solution that might be generated for a particular problem sample. Table 3 shows that each zone has limitations regarding the total area of each crop permitted to be cultivated by having minimum and maximum percentages of it. According to Table 3, Mae Thor 2 (Den Ai Tai), for example, has a limitation considering the total percentage of each crop permitted to be cultivated in the zone. Crop 1 should be cultivated at least 25% of the total area. Crops 2-5 should be cultivated at least 10% of the total area. The rest crops do not have limitations regarding the percentage of the area that needs to be cultivated. This limitation was set based on the consideration of best practices and the economic value of the crop that has been previously gathered. The data shown in Table 3 is used as an input for crop planning and irrigation management based on the proposed mathematical model. The results obtained are displayed in Table 4. The result shows that, In Mae Thor 2, out of the total area of 1,705,600 m\({}^{2}\), Crop 1 was planned for cultivation in 426,400 m\({}^{2}\) equals 25% of the total area. Crops 2-5 were planned for equal cultivation of 170,560 m\({}^{2}\) corresponding to 10% of the total area. Crop 7 was planned for cultivation in 596,960 m\({}^{2}\) equals 35% of the total area. These explanations were similar to the result of agricultural planning of another zone shown in Table 4. These plans would generate a maximum agricultural income of 42,110,600 baht/year. They were also the plans for sufficient water utilization in the reservoir. Furthermore, the permitted amounts of water utilized and allocated monthly at each zone are displayed in Table 5. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \begin{tabular}{c} **Crop** \\ **Index** \\ \end{tabular} & \begin{tabular}{c} **Crop Species and** \\ **Variety Name** \\ \end{tabular} & \begin{tabular}{c} **The Estimated Price** \\ **of the Product** \\ **(Baht/kg)** \\ \end{tabular} & \begin{tabular}{c} **Fixed Cost and** \\ **Estimated** \\ **(Kg/rai)** \\ **Cultivation (Baht/kg)** \\ \end{tabular} & \begin{tabular}{c} **Estimated Product** \\ **(Kg/rai)** \\ **(Irai = 1600 m\({}^{2}\))** \\ \end{tabular} & \
\begin{tabular}{c} **Annual** \\ **Agricultural** \\ **Cycle** \\ **Cycle** \\ \end{tabular} &
\begin{tabular}{c} **Crop** \\ **Coefficient** \\ **(Kc)** \\ \end{tabular} \\ \hline
1 & Rice: Chai Nat A & 6.7 & 3.993 & 876 & 2 & 1.24 \\ \hline
2 & Rice: Phitsanulok & 6.7 & 3.993 & 630 & 2 & 1.24 \\ \hline
3 & Rice: RD49 & 6.7 & 3.993 & 733 & 2 & 1.24 \\ \hline
4 & Rice: Hom Pathum & 8 & 3.993 & 750 & 2 & 1.24 \\ \hline
5 & Rice: Jasmine105 & 8 & 3.993 & 750 & 1 & 1.24 \\ \hline
6 & Rice: Suphan 90 & 6.7 & 3.993 & 600 & 2 & 1.24 \\ \hline
7 & Corr: CP 999 & 8 & 1.606 & 750 & 2 & 1.19 \\ \hline
8 & Corr: Sticky rice & 8 & 1.606 & 750 & 2 & 1.19 \\ \hline
9 & Corr: CP 639 & 8 & 1.606 & 750 & 2 & 1.19 \\ \hline
10 & Corr: CP 777 & 8 & 1.606 & 750 & 2 & 1.19 \\ \hline
11 & Cassava: Rayong 5 & 2.8 & 0.135 & 3500 & 1 & 0.61 \\ \hline
12 & Cassava: Kak Dum & 2.8 & 0.135 & 3500 & 1 & 0.61 \\ \hline
13 & Cassava: Rayong 72 & 2.8 & 0.135 & 3500 & 1 & 0.61 \\ \hline
14 & Cassava: Rayong 9 & 2.8 & 0.135 & 3500 & 1 & 0.61 \\ \hline
15 & Cassava: Rayong 7 & 2.8 & 0.135 & 3500 & 1 & 0.61 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: The data of crops cultivated in agricultural areas/zone in Tak Province. \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{ \begin{tabular}{c} **Crop** \\ **Index** \\ \end{tabular}  } & \multicolumn{2}{c}{ \begin{tabular}{c} **Mae Thor 2** \\ **(Den Ai Tai)** \\ \end{tabular}  } & \multicolumn{2}{c}{ \begin{tabular}{c} **Ban Nong** \\ **Khaem** \\ \end{tabular}  } & \multicolumn{2}{c}{ \begin{tabular}{c} **Mae Thor 3** \\ **([PERSON])** \\ \end{tabular}  } & \multicolumn{2}{c}{ \begin{tabular}{c} **Mae Thor Ban** \\ **Huay Nueng** \\ \end{tabular}  } & \multicolumn{2}{c}{\