$(11$ points$)$ The Old Republic has a monopoly on producing clonetroopers for its army. The monopoly market conditions that the Old Republic faces are given by:

$Q_D=5,000-5P$

$TC=0$

where $Q$ represents how many clonetroopers the Old Republic will produce.

a$.(3$ points$)$ How many clonetroopers will the Old Republic decide to produce to maintain their monopoly? At what price will they sell clonetroopers at$?$

b$.(4$ points$)$ True, false, or uncertain, and explain. Since the total costs of production are $0,$ a monopolist will want to produce as much as possible, since total revenues will increase the more that you produce $($while in this scenario, total costs do not change$).$

c$.(4$ points$)$ If the Old Republic could utilize perfect $($first degree$)$ discrimination, what is the price$-$per clonetrooper it would charge? The access fee?