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Case Study: The Center Of Basketball (TPT)

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Case Study: The Center Of Basketball (TPT)
TENNISPOURTOUS
The center of TennisPourTous (TPT) was founded more than five years ago by a group of friends passionate about sports in general and tennis in particular. Before the foundation of TPT, it was mandatory to join a club to play tennis. Since existing clubs were complete, people had to register on a waiting list and sometimes wait several years before being able to start practicing their favorite sport. In order to address this unmet demand, the group of friends decided to create a center operating under different rules. Thanks to the help of the town who generously granted a piece of land to TPT, they were able to build a tennis center with four floodlight courts, changing rooms for men and women as well as a refreshment bar, including a vending machine for drinks. At the moment of foundation, the total cost for the
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Questions
1. Suppose tennis lessons were limited to off-peak hours, how many hours of lessons should be given to make the hiring of a full-time coach profitable?
2. Suppose customers only took lessons during the peak hours, how many hours of lessons should be given to make the hiring of a full-time coach profitable?
3. Suppose half of lessons were given during the peak hours and the other half during the off-peak hours, how many hours of lessons should be given to make the hiring of a full-time coach profitable?
4. Make a suggestion for the pricing system for the lessons which would make TPT indifferent between a lesson which was taken during peak hours and a lesson which was taken during off-peak hours.
5. Imagine a pricing system which could be proposed to the tennis coach and which would encourage him (1) to give a maximum of lessons, (2) to give a maximum of lessons during off-peak hours and a minimum of lessons during peak

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