Answer: 2700
Step-by-step explanation:
Given data
The Herfindahl Index of the industry is
HI = 50^2 + 25^2 + 25^2 = 3,750.
when another firms joins the market, this would cause a decrease in the Herfindahl Index.
new firm ( tread tough) enters the market with a 15% of the share market this would affect the largest shareholder there by causing a reduction in his shares to 35%.
the total HI would now be
HI = 35^2 + 25^2 + 25^2 + 15^2 = 2700.
The Herfindahl Index can never be more than 10,000, as this would represent a 100% market monopoly from a single company. In a perfect monopoly HI is 100^2 = 10,000.