Price Index in Monopolistically-Competitive Goods Market. There is a measure [0, N] of monopolistically-competitive "wholesale" firms, each of which produces a differentiated variety of intermediate goods. The final "retail" good is a Dixit-Stiglitz aggregate di that "bundles" all of the N varieties of intermediate goods. In the Dixit-Stiglitz aggregator, y, denotes the final good and y; denotes each of the varieties, Vie (0, N). The demand function that each monopolist j faces is 1 - 8 y it Yt . Based on the expression p, y. = \\ Pity;dj , construct the symmetric equilibrium price index p, of the final "retail" good. Display the final solution clearly by drawing a box around it, and clearly and carefully provide the algebraic steps/logic that lead to the final solution.First, I will substitute the demand function into the expression, making it: N Pt ' yt = Jo Pit ' yitdj > Pt . yt = Jo Pit Pit E 1-Eyt . dj Pulling the yt term out from the integral gives: N Pit- E Pt ' yt = yt 1-E . dj 0 Cancelling yt terms gives: N 3 Pt = P 1-8 . dj