In order to determine the additional worker hours required to produce wine instead of olive oil for each country, we need to calculate the difference in worker hours between producing wine and producing olive oil:
1. Greece:
Additional hours = Hours for wine - Hours for olive oil
Additional hours = 60 - 35 = 25
2. France:
Additional hours = Hours for wine - Hours for olive oil
Additional hours = 45 - 40 = 5
3. Italy:
Additional hours = Hours for wine - Hours for olive oil
Additional hours = 45 - 35 = 10
Now, summarizing the additional hours as a table:
[tex]\[
\begin{tabular}{|l|l|l|l|}
\hline & \begin{tabular}{l}
worker hours \\
to produce \\
olive oil
\end{tabular} & \begin{tabular}{l}
worker hours \\
to produce \\
wine
\end{tabular} & \begin{tabular}{l}
additional worker hours \\
to produce wine \\
instead of olive oil
\end{tabular} \\
\hline Greece & 35 & 60 & 25 \\
\hline France & 40 & 45 & 5 \\
\hline Italy & 35 & 45 & 10 \\
\hline
\end{tabular}
\][/tex]
Next, we need to evaluate each trade scenario to find out the total worker hours required for them.
### Scenario 1:
- France produces olive oil.
- Greece and Italy produce wine.
Total worker hours = Hours for olive oil by France + Hours for wine by Greece + Hours for wine by Italy
Total worker hours = 40 + 60 + 45 = 145
### Scenario 2:
- Greece and Italy produce olive oil.
- France produces wine.
Total worker hours = Hours for olive oil by Greece + Hours for olive oil by Italy + Hours for wine by France
Total worker hours = 35 + 35 + 45 = 115
### Scenario 3:
- Greece and France produce olive oil.
- Italy produces wine.
Total worker hours = Hours for olive oil by Greece + Hours for olive oil by France + Hours for wine by Italy
Total worker hours = 35 + 40 + 45 = 120
### Scenario 4:
- Italy produces olive oil.
- France and Greece produce wine.
Total worker hours = Hours for olive oil by Italy + Hours for wine by France + Hours for wine by Greece
Total worker hours = 35 + 45 + 60 = 140
Summarized scenarios:
[tex]\[
\begin{tabular}{|c|c|}
\hline
Scenario & Total Worker Hours \\
\hline
1 & 145 \\
\hline
2 & 115 \\
\hline
3 & 120 \\
\hline
4 & 140 \\
\hline
\end{tabular}
\][/tex]
The scenario with the least total worker hours is Scenario 2.
Conclusion:
The most efficient trade scenario is:
Greece and Italy produce olive oil, while France produces wine, with a total of 115 worker hours.
