Problem 07-16 (algo)

Suppose Fiat recently entered into an Agreement and Plan of Merger with Case for $4.3 billion. Prior to the merger, the market for four-wheel-drive tractors consisted of five firms. The market was highly concentrated, with a Herfindahl-Hirschman index of 3,195. Case's share of that market was 16 percent, while Fiat comprised just 8 percent of the market. If approved, by how much would the postmerger Herfindahl-Hirschman index increase?