The town of Mt. Pilot has a three-member town council that is considering new infrastructure projects for the town: building a new park, buying a new fire truck, and repaving Main Street. The town only has enough money to pay for one of the projects. The preferences of each council member for each project are shown in the table. Will these preferences lead to a voting paradox? Explain your answer by using the results of the votes for each of the three head-to-head match-ups. 

Transcribed Image Text:

Company Name New Park New Fire Truck Repaving Main Street Barney 1st 3rd 2nd Floyd 2nd 1st 3rd Howard 3rd 2nd 1st