Please help to answer each question of part A ( A1, A2, A3, A4, A5a, A5b )

A. U.S. Cigarette Industry (total 5 points--one point each for A1, A2, A3, A4, A5) Market shares in the U.S. cigarette industry are as follows. Cigarette Company Market Share (Percent) Altria 50 Reynolds 35 Vector 5 Republic 4 three smallest companies each 2 Total 100 A1. Define the four-firm concentration ratio of an industry. Compute the four-firm concentration ratio for the cigarette industry. Show your computation. A2. Define the Herfindahl-Hirschman index (HHI). Compute the HHI for the cigarette industry. Show your computation. A3. The cigarette industry is often described as a "duopoly." Explain how this description makes sense, even though there are more than two firms in the industry A4. According to the U.S, government, what is the classification of the cigarette industry in terms of "concentration"? Explain your answer. A5. (a) Suppose that Altria and Reynolds explore a merger of the two companies. Is this merger likely to be approved by the U.S. government? Explain your answer using the HHI concept. (b) Instead of Altria and Reynolds merging, suppose that the three smallest companies decide to merge. Is this merger likely to be approved by the U.S. government? Explain your answer using the HHI concept