In Terminal A at Sacramento airport, Peet's has a virtual monopoly on the sale of coffee past the point of security. Inverse demand for coffee in Terminal A is given by p(q) = 21 0.1q. Their cost function is given by C(q) = 1q + 1000 where the fixed cost is what Peet's pays Sacramento airport in rent.

1. How do we plot the demand for coffee? How do I get the equilibrium price and quantity?
2. How do i comment on the welfare effects of having monopolist from the graph? (do I just talk about CS and PS and DWL?)
3. who is the ultimate recipient of these monopoly rent?