The monopoly's demand is p(y) = 850-2y. The cost of production is c(y) = 50y. From the MR and MC of these, I got the optimal output of y=200 units and P=$450.
The part I was having trouble with was the following:
"Suppose in addition to the costs provided, the ?rm also has a ?xed cost of $130,000. The ?xed cost is not sunk in the long run.
- How does the presence of the ?xed cost change your answer to the optimal output of this monopolist? Speci?cally, will the ?rm produce output in this market (long run)?
- Is it socially optimal to produce this good? That is, determine the effcient level of output. Is it zero (i.e. should the good be produced, and if so, how much?)?"