Unfortunately parts a, b, and depend on each other.

brief explanation is sufficient does not need to be in excessive detailquick answer preferred

Question:

Guess what? The political plot around the Rogue Island electrical outlets thickens. Microshock Inc. has fallen out of grace with the Governor of Rogue Island, who again using his behind-the-scene powers, has obtained the firm's blueprint for its technology and made it available in the public domain. As a result, anyone can come into the local electrical outlets market and compete in a perfectly competitive fashion using that same technology

(a) The three regions of consumers continue to have the same demand curves as before. Can you derive the market demand curve for electrical outlets in all Rogue Island?

(b) What is the long-run industry supply curve for electrical outlets? Using also your answer in part (a), what is the perfectly competitive equilibrium in this market? Specify market price, output exchanged, number of active firms, and profits for each firm.

(c) The Governor is nervous about his re-election, and his staff has told him that it crucially depends on social surplus having increased after the switch to perfect competition in the outlet market; after all, everyone loves to be well plugged in around Rogue Island. The problem is that he and his staff have no idea how to calculate that. They have hired you to give them the answer. Should the Governor be worried? To be thorough in your answer, calculate social surplus in the competitive equilibrium and compare it to the answer in problem 2(c). Hint: Use integrals to facilitate your answer (you will also impress the Governor in your report to him when he sees the integral sign; allegedly, he did not pass calculus in college, although this may be trash spread by his enemies).