Consider the population model given by $($dP$)/($dt$)=2$P$-($P$^(2))/(50)$ for a species of deer in a forest. It is decided that hunting will be allowed, but it is unclear how many hunting licenses should be issued. The average licensed hunter will kill $3$ deer per year. $($a$)$ What is the largest number of licenses that can be issued for the deer population to survive? $($b$)$ What will happen to the deer population if this many licenses are issued? $($c$)$ Draw a bifurcation diagram for the parameter which represents the number of issued hunting licenses.