I have a problem where the demand is Q_d = 30 - P/5 and MC=5Q.

I am lost as I need to, on a graph, show the socially optimal output level, Q_soc, and compute the quantity and price associated with this output.

I also need to show the areas of CS, PS, DWL that are part of the answer that relate to the monopoly.

How would I describe how I determined the socially optimal output level and how does it compare to CS, PS, and DWL?

I am very confused on this question.