Answer :
To complete the table, we need to fill in the values of [tex]\(\bar{C}(x)\)[/tex] for each given [tex]\(x\)[/tex]. Here is the detailed solution to find [tex]\(\bar{C}(x)\)[/tex] for [tex]\(x = 20, 50, 100, 200\)[/tex]:
1. For [tex]\( x = 20 \)[/tex]:
- [tex]\(\bar{C}(20) = 30.00\)[/tex]
2. For [tex]\( x = 50 \)[/tex]:
- [tex]\(\bar{C}(50) = 75.00\)[/tex]
3. For [tex]\( x = 100 \)[/tex]:
- [tex]\(\bar{C}(100) = 150.00\)[/tex]
4. For [tex]\( x = 200 \)[/tex]:
- [tex]\(\bar{C}(200) = 300.00\)[/tex]
With these values, the completed table is:
[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 20 & 50 & 100 & 200 \\ \hline $\bar{C}(x)$ & 30.00 & 75.00 & 150.00 & 300.00 \\ \hline \end{tabular} \][/tex]
1. For [tex]\( x = 20 \)[/tex]:
- [tex]\(\bar{C}(20) = 30.00\)[/tex]
2. For [tex]\( x = 50 \)[/tex]:
- [tex]\(\bar{C}(50) = 75.00\)[/tex]
3. For [tex]\( x = 100 \)[/tex]:
- [tex]\(\bar{C}(100) = 150.00\)[/tex]
4. For [tex]\( x = 200 \)[/tex]:
- [tex]\(\bar{C}(200) = 300.00\)[/tex]
With these values, the completed table is:
[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 20 & 50 & 100 & 200 \\ \hline $\bar{C}(x)$ & 30.00 & 75.00 & 150.00 & 300.00 \\ \hline \end{tabular} \][/tex]
