Puzzle 1: Cupid

Cupid has X arrows. There are 6 people who need love. You must assign them into 3 pairs. One is extremely lonely and needs the amount of arrows as it takes their assigned partner. One is somewhat lonely and needs 6 arrows. One is looking for love they need 4 arrows. One is overfilled with love and wants anyone, and they only cost 1 arrow, but they dislike lonely people. One is looking for someone who costs more than their friend and they cost 3 arrows. And the last one is the friend and costs 4 arrow.

What is the lowest X?