This is what was posted on realgm Assuming a 56.1 million dollar cap, and the Bulls sign one max guy:
Max guy: $16,568,908
Luol Deng $11,345,000
Derrick Rose $5,546,160
Joakim Noah $3,128,536
James Johnson $1,713,600
Taj Gibson $1,117,680
Roster hold $473,604
Roster hold $473,604
Roster hold $473,604
Roster hold $473,604
Roster hold $473,604
Total $41,787,904
Remaining for final FA: $14,312,096 So yeah we'd be 500K short.