To determine which item has the largest price difference between the current lunch and the healthier lunch, we need to calculate the differences for each item.
Here is the economic cost breakdown:
[tex]\[
\begin{array}{|l|r|r|}
\hline
& \text{Current Lunch} & \text{Healthier Lunch} \\
\hline
\text{Main course} & \$1.15 & \$1.85 \\
\hline
\text{Side dish} & \$0.30 & \$0.90 \\
\hline
\text{Dessert} & \$0.30 & \$0.10 \\
\hline
\text{Beverage} & \$0.30 & \$0.05 \\
\hline
\end{array}
\][/tex]
1. For the main course, the price difference is:
[tex]\[
\$1.85 - \$1.15 = \$0.70
\][/tex]
2. For the side dish, the price difference is:
[tex]\[
\$0.90 - \$0.30 = \$0.60
\][/tex]
3. For the dessert, the price difference is:
[tex]\[
\$0.10 - \$0.30 = -\$0.20
\][/tex]
4. For the beverage, the price difference is:
[tex]\[
\$0.05 - \$0.30 = -\$0.25
\][/tex]
Now that we have the price differences:
- Main course: \[tex]$0.70
- Side dish: \$[/tex]0.60
- Dessert: -\[tex]$0.20
- Beverage: -\$[/tex]0.25
The largest price difference is found in the main course, with a difference of \$0.70.
Therefore, the largest price difference between the two lunches is found in the main course.
