Let's assume that your kid uses $100 of utilities a month? Why can't you split it 50/50?
Also I've heard of so many men only have their kid like every other weekend. That's four days out of 30 and 48 out of 365 days a year. That's almost over a month out of the year. The child is spending the majority of their life with their mother.
Look, you keep bringing up the issue of primary custody, but what you don't realize is that it's a state issue. Here in maryland, men are given 50/50 custody off bat. Listen to what I said, men are GIVEN custody. It's not a natural right. It's not a fact of life. When a child is born in a split home, nobody is throwing that man a shower and helping him decorate the kids room. Nobody is creating 50/50 schedules for the child to split time at two different homes. Being a father means you are entitled to spend time as much time with your child as you would like.....as long as you and the mother are together. Y'all aren't together? You're required to pay for your child and you're "allowed" visitation rights. That's it. The glory of childhood is vastly different from a male's perspective.
This money for child support battle really isn't about the funds. It's about the fact that from the time a woman decides to have a child, the man no longer has any real power given the jurisdiction the baby is born in. It's that simple.