What is the average airspeed velocity of an unladen swallow?
Apparently depends on the continent of origin of the bird.
Assuming you aren't talking about the owner of the eponymous gmail account (ahem), I believe it is a character in Atlas Shrugged. Unfortunately, I've never read this book, so I don't know much more about the character.
If the Delegate has 1000 endorsements, the Vice Delegate 950, and a nation has 900 endorsements for six months, how much of the Delegate's influence would it take to eject and ban that nation? How much of the Vice Delegate's, assuming the Vice Delegate has border control powers as a Security Councillor? How long would it take them to recoup the lost influence?
I assume that the "six months" applies not only to the to-be-ejected nation, but also to the delegate and vice delegate. I also treat all months as having 30 days. And finally, I assume that the delegate and vice delegate continue to have the same number of endorsements after the ejection.
Base influence calculations
Delegate's influence: (1000 endorsements) * (6 months) * (30 days) * (2 updates) = 360000
Vice delegate's influence: 950 * 6 * 30 * 2 = 342000
Nation's influence: 900 * 6 * 30 * 2 = 324000
Case 1: Ejection by the delegate
Cost to eject and ban using delegate controls: (324000 influence) / 2 = 162000
Cost as percentage of delegate's influence: (162000 influence) / (360000 influence) * 100 = 45%
Time to recoup lost influence: (162000 influence) / [(1000 endorsements) * (2 updates)] = 81 days
Case 2: Ejection by the vice delegate
Cost to eject and ban using border controls: 324000 / 2 * 2 = 324000
Cost as percentage of delegate's influence: 324000 / 342000 * 100 = 94.73%
Time to recoup lost influence: 324000 / (950 * 2) = 171 days