Questions: Hans can do 4 loads of laundry and type 6 pages per hour. Heidi can do 12 loads of laundry and type 8 pages per hour. Hans's opportunity cost of doing one load of laundry is equal to typing 8 papers. equal to typing 11 / 2 pages. impossible to compute without additional information. equal to typing 12 papers. equal to typing 2 / 3 of a page.

The answer is equal to typing \( \frac{2}{3} \) of a page.

To determine Hans's opportunity cost of doing one load of laundry, we need to compare the time he spends on laundry to the time he could have spent typing pages. Hans can do 4 loads of laundry per hour, which means he spends 15 minutes (or \( \frac{1}{4} \) of an hour) on each load of laundry. In that same time, he could type:

\[ 6 \text{ pages per hour} \times \frac{1}{4} \text{ hour} = \frac{6}{4} = \frac{3}{2} \text{ pages} \]

Therefore, the opportunity cost of doing one load of laundry for Hans is equal to typing \( \frac{3}{2} \) pages, which simplifies to \( \frac{2}{3} \) of a page.

Let's evaluate the other options:

• Equal to typing 8 papers: Incorrect. Hans can type 6 pages in an hour, so he cannot type 8 pages in the time it takes to do one load of laundry.
• Equal to typing \( \frac{11}{2} \) pages: Incorrect. This would imply Hans could type 5.5 pages in the time it takes to do one load of laundry, which is not supported by the given rates.
• Impossible to compute without additional information: Incorrect. We have enough information to calculate the opportunity cost using the given rates.
• Equal to typing 12 papers: Incorrect. This would imply Hans could type 12 pages in the time it takes to do one load of laundry, which is not possible given his typing rate.
• Equal to typing \( \frac{2}{3} \) of a page: Correct. As calculated, this is the opportunity cost for Hans.