Suppose the supply side of a market is composed of three different producers, i = 1, 2, 3. The market share of producer 2 is denoted by si. Suppose that the share of firm 1 is exactly 7, the share of firm 2 is 3 - T, and the share of firm 3 is - + 27. [20%] (a) Compute the Herfindahl index in this market as a function of T and interpret your results. [10%] (b) How competitive would you say this industry is, and why? [10%]