The Herfindahl Index of 0% is known to be perfect competition while 10000 is known to pure monopoly.
HHI < 1500, Competitive market
2500 > HHI > 1500, Moderately concentrated market
HHI > 2500, Highly concentrated market
Herfindahl index is calculated by summation of square of all the firms in the market.
Thus initially the Herfindahl Index is 10 ^ 2 + 10 ^ 2 + 10 ^ 2 + 10 ^ 2 + 10 ^ 2 +10 ^ 2 + 10 ^ 2 + 10 ^ 2 + 10 ^ 2 + 10 ^ 2 = 1000
Thus initially it was competitive market.
a) As five firms merged into 1 and rest five are operating individually. After the merger the Herfindahl Index is
50 ^2 + 10 ^ 2 + 10 ^ 2 + 10 ^ 2 + 10 ^ 2 + 10 ^ 2 = 3000
Thus now the market is highly concentrated on one side means there is monopoly in the market.
b) As the values have changed by large and there is now monopoly in the market as per the values. Thus it will be challenged. So option D is correct.
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