We’ve been given a triangle $ABC$ with an area = 1. Now Marcus gets to choose a point $X$ on the line $BC$, afterwards Ashley gets to choose a point $Y$ on line $AC$ and finally Marcus gets to choose a point $Z$ on line AB. They can choose every point on their given line (Marcus: $BC$; Ashley: $CA$; Marcus: $AB$) except of $A$, $B$ or $C$. Marcus tries to maximize the area of the new triangle $XYZ$ while Ashley wants to minimize the area of the new triangle. What is the final area of the triangle $XYZ$ if both people choose in the best possible way?