Earlier quoted context omitted.
The EU has a population of over 500 million. For a program like this (assuming it's all from public funds), each citizen paid on average less than a cup of coffee costs at Starbucks. It's real money, but what pressing pan-European problem could you really solve with such a tiny budget?
Look at the economical situation of countries like Greece and Spain. That would be one starting point.
[1] https://en.wikipedia.org/wiki/Mars_Reconnaissance_Orbiter [2] https://en.wikipedia.org/wiki/Greek_government-debt_crisis#2...