Answer:
Calculating Herfindahl-Hirschman Index and Four-Firm Concentration Ratio:
a. Herfindahl-Hirschman index (HHI) = 3,814
b. The four-firm concentration ratio (C4) = 1
c. If the two firms with sales of $355,000 and $435,000 merged, the resulting HHI would increase by 1,723 to 5,537. The post-merger HHI now exceeds that allowed under the Guidelines (2,500). The increase in HHI is more than that permitted under the Guidelines (200), the merger is likely to be blocked by the Department of Justice.
Explanation:
a) Data and Calculations:
Sales of three firms in an industry:
Sales Industry Share
Firm A sales = $355,000 22% ($355,000/$1,615,000 * 100)
Firm B sales = 825,000 51% ($825,000/$1,615,000 * 100)
Firm C sales = 435,000 27% ($435,000/$1,615,000 * 100)
Total sales = $1,615,000
Herfindahl-Hirschman index (HHI) = 3,814 (22² + 51² + 27²)
Four-firm concentration ratio (C4) = Sales of the four largest firms/Industry sales = $1,615,000/$1,615,000
If the two firms with sales of $355,000 and $435,000 were to merge, the new Herfindahl-Hirschman index (HHI) = 5,537(49² + 51²)
Increase in HHI as a result of the merger = 1,723
