Assume that total market demand for the oil market is given by:

QD = 200 - 2P. Assume further that the non-OPEC oil producers act as a competitive fringe with a supply given by QS = P -12.5. The dominant firm marginal cost is given by MC = 10 + Q.

Use the dominant firm model discussed in the recorded lecture to answer the following questions.

1. What is the minimum price needed for the competitive fringe to supply positive units of Output?
2. At what price does the competitive fringe supply output to the entire market?
3. Derive the dominant firm's residual demand function. Show all the steps.
4. Derive the dominant firm's marginal revenue function. Show all the steps.
5. Show that the equilibrium price set by the dominant firm is P =$61.92 and the total market demand is Q = 76.16.
6. At the equilibrium price set by the dominant firm, how much will the competitive fringe supply to the market? Show it is Q = 18.46.
7. At the equilibrium price set by the dominant firm, how much will the dominant firm supply to the market? Explain.
8. Show the above answers graphically.
9. The competitive fringe reduces the market power of the dominant firm. If the dominant firm wanted to try and eliminate the competitive fringe, how might the dominant accomplish this? Explain.
10. If the dominant firm eliminates the competitive fringe, explain how this will the market and the consumers. Explain.