I used this activity in my leadership class to work on communication, teamwork, budgeting, and creativity with my students. They had to design and build a structure that would hold the most weight (pennies in a dixie cup).
You could tweek this however you wanted- I did it after showing Apollo 13, so they were building a structure related to a rocket or launch pad. The students were all given a budget, and the supplies cost different amounts. I gave prizes to the team that stayed under budget, but was still successful, and also the team that was able to hold the most weight on their structure.
I made a fast excel sheet to keep track of their money at the "bank," and they had to have a signed "check" to go to the "store" to buy their supplies.