These are the parameters for the overbooking problem:

N is the number of seats on the flight in question $($known$)$

n is the number of tickets sold $($unknown$)$

p is the probability of a person with a ticket to show up for the flight $($known$)$

$\backslash$gamma $($gamma$)$ is the probability of a flight being overbooked $($known$)$

Using R: Make a plot that resembles the one below by trialing the code with $N=200,p=0\mathrm{.}95,$ gamma $=0\mathrm{.}20$

The red dots $($left and above axis$)$ and blue above axis correspond to $|$f$($n$)|($equivalently$,$ all points above the $"$n$"$ axis$),$ and the blue points $($below and above the $"$n$"$ axis$)$ correspond to f$($n$).$ You will need to find the minimum of $|$f$($n$)|-$ use "which.min$()".$