Business homework help

Question:Question 2Suppose there is a set of growers G = {a, b, c, d}, a set of retailers R = {e, f, g} and a set of customersC = {m, n, p, q, r}. There are two relations A and B on G ´ R and R ´ C, respectively, defined by:aAe, bAg, cAf, dAe, dAg, and eBn, eBr, fBm, fBq, gBpxAy means “grower x sold goods to retailer y”, andyA-1x means “retailer y bought goods from grower x”xBy means “retailer x sold goods to customer y”, andyB-1x means “customer y bought goods from retailer x”(i)             Find the matrices M(A) and M(B) that represent the relations A and B.(ii)           Find the matrices M(A)T and M(B)T that represent the relations A-1 and B-1(iii)          Consider the query:Which customers have received goods that came fromthe same grower(s) as those goods received by customer p?Find the logical matrix products M(A) M(B) and then M(B)T M(A)T, and finally M(B)T M(A)T M(A) M(B), and hence answer the query.