1. The questions asks us to find whether the theater company can reasonably earn more than $13,000 above the weekly rental price at a certain theater.
2. It needs to be noted that: "I think that we should be able to achieve 50% of our weekly box office potential (that is, 50% of what we would earn in a week if we sold all tickets to all performances at the maximum price) in Center City. Otherwise, 40% is a more reasonable expectation."
3. Now let's look at the three possible theaters:
- The Lark. The theater isn't located in the center, so we have to look at 40% of the box office potential. This is $18,900 and the difference between the weekly rental price is $18,900 - $6,500 = $12,400 < $13,000. So, the theater won't reasonably earn more.
- The Tulip. The theater is located in the center, so we have to look at 50% of the box office potential. This is $23,625 and the difference between the weekly rental price is $23,625 - $11,000 = $12,625 < $13,000. So, the theater won't reasonably earn more.
- The Attic. The theater is located in the center, so we have to look at 50% of the box office potential. This is $23,625 and the difference between the weekly rental price is $23,625 - $10,000 = $13,625 > $13,000. So, the theater will reasonably earn more.