plz help me the question

\fAn economy has two agents, A and B, and three goods 1, 2 and 3. The endowments of the two consumers are: 6A = (13251); 83 = (2:132) Given a. price vector p = (p1, p2, p3), the demand functions of the three agents for each of the three goods are as follows: pl+2p2+pa 101+2p2+p3 p1+2pz+p3 314(1)) = ; info?) = ' 563%) 1 2P1 4P2 4193 2p p 2:0 He 3 3 3 3 B 1 1 (P) m 2 (P) 3 (P) Now recall the mapping from the price simplex to itself that we used in order to generate a xed point which would correspond to the equilibrium. Below, you will map a particular price vector 3) into its value f (p) Please be careful with your arithmetic. Let 13 = (, 41, i). Answer the question below for these prices. (iv) Find the numerical value of the excess demand for each good at this price vector: 21013) = 2203) = 33(13) (v) Find the vector m(p), where m(p) is given by mi(p) = pi + minfei, max{0, zi(p)}}. m1(p) = m2(p) = m3(p) = (vi) Find the vector f(p) which the price p = (7, 4, 4) maps into, by normalising the price- vector m(p) that you just found. (vii) Recall the excess demand functions that you found in part (iii). For each good i = 1, 2, 3, write down the configurations of prices for which zi(p) = 0 [Each of these will involve all three prices (P1, P2, p3).] 21(P) =0 4 22 (p) =0 4 23(P) =0 4 (viii) Using your answers to part (vii) above, find a price vector in the simplex that is an equilibrium