Here's why the feast is strategically placed by the Gamemakers:
* To test the tributes: The feast is a dangerous opportunity to acquire valuable supplies. It forces them to decide whether the risk of the feast is worth the reward.
* To create conflict: By placing the feast in a location that is not easily accessible to all the tributes, the Gamemakers create a situation where tributes are likely to encounter each other and fight.
* To increase the audience's entertainment: The feast is a dramatic event that provides the audience with excitement and suspense.
The Gamemakers don't invite the tributes to the feast - it's a carefully calculated event designed to increase the odds of the tributes killing each other and to make the Games more entertaining.