Suppose Macy's and Sears want to merge. They notify the FTC, whose economists then analyze the merger. They determine that these two firms do belong in the same market. To determine whether the merger should raise concerns, the economists then use the following test: A merger raises concerns if If 1000 1800 and HHI will go up by more than 50 Suppose there are six other firms in the market, two with 20% market share, one with 15%, and three with 10% (the rest of the market is currently supplied by Macy's or Sears). Before the merger Macy's share is s_m and Sears' share isS_s. What will the postmerger HHI be? Your answer should be a number. Assuming s_m > S_s, what values of (s_m, S_s) will raise concerns? Find these values mathematically and show your work. Explain, intuitively, why the merger will not raise concerns if the premerger shares are more unequal