Amy was eating a pizza, and the pizza is cut into 8 pieces. Because this is mathematics, and mathematics is exact, we will say that eating a 1/8 of a pizza takes exactly 2 minutes.

Now, Amy starts eating, but 2 minutes later, Barney comes, and he wants pizza too. So they both eat some more pizza, until, 2 minutes later, Chris arrives and he wants some pizza too! So they all eat pizza, until, 2 minutes later, Dean arrives, and he wants pizza as well! Now, there is not enough pizza for all of them to share with the way it is cut, so they'll have to cut the pizza into 4 pieces. Now, cutting 1 straight line (No matter how long or short) takes 1 minute, and (because there are 4 people) it takes them 4 times less of the amount of time to cut one straight line. What is the shortest amount of time they can achieve this? (Cutting the pizza, not eating the pizza)