Some estimations to help determine a good donation distribution protocol

OnionTip Fee Estimation

# Total Donation required for each selected relay to receive the bitcoin dust limit amount (5460 satoshi = ~ $0.03)

  300 Selected Relays
  ---
  Fee: 110000 ($0.5500)
  Outputs: 1638000 ($8.19000)
  Fee: 6.29% 
  Total Spend: $8.74000 (0.0175 BTC)


  5000 Selected Relays
  ---
  Fee: 1710000 ($8.5500)
  Outputs: 27300000 ($136.500)
  Fee: 5.89% 
  Total Spend: $145.0500 (0.2901 BTC)
  
  Note: The shown fee is the fixed maximum for that number of relays. A larger donation to only reduce the fee percentage.


# The max number of relays which could receive some money for a fixed dollar value donation. Any remainder added to the fee

  Donation: $0.5 (100000 satoshi)
  ---
  16 Relays Max
  Fee: 12640 ($0.0632000)
  Outputs: 87360 ($0.4368000)
  Fee: 12.64% 
  Total Spend: $0.500 (0.0010 BTC)
  
  Donation: $5 (1000000 satoshi)
  ---
  171 Relays Max
  Fee: 66340 ($0.3317000)
  Outputs: 933660 ($4.6683000)
  Fee: 6.63% 
  Total Spend: $5.00 (0.0100 BTC)
  
  Donation: $50 (10000000 satoshi)
  ---
  1723 Relays Max
  Fee: 592420 ($2.9621000)
  Outputs: 9407580 ($47.0379000)
  Fee: 5.92% 
  Total Spend: $50.0 (0.1000 BTC)