Alright.. Let's assume the Kings are insane and offer Bogdanovic 15million. Would leave the Kings 40million to play around with..woah. Well, I took a look at FAs this year, and it's not that great of a list (took in consideration of players who are ring chasing, and players who wouldn't mind getting PAID+rebuilding): Jrue Holiday, Jeff Teague, Otto Porter Jr, Danillo Gallinari, Derrick Rose, Jeff Green, Andre Igudola, Nikola Mirotic, Patty Mills, Bojan Bogdanovic, MCW, Trey Burke, Shelvin Mack, Joe Ingles, KCP, and Andre Roberson.
2018 is a much much better list with youth talent. However, there's many deals that can be made before now and next year. Most of these guys are RFAs, so it could be long-shots. However, there's a few teams with unproven players. Assuming they(Nurkic, Parker, Embiid, Gordon, Smart, or Randle) don't make big jumps, I could see the Kings offering a max to one of those players, and the other team deciding not to match it.
Zach LaVine, Jusuf Nurkic, Derrick Favors, Jabari Parker, Andrew Wiggins, Joel Embiid, Aaron Gordon, Dante Exum, Marcus Smart, Julius Randle, Seth Curry, Elfrid Payton, Doug McDermott, Rodney Hood, Gary Harris, Norman Powell, Josh Richardson, and Will Barton.
Almost seems like the Kings should wait until next year to really start spending their money. We'd have the money and low-risk to max out a few of those players.