Exercise 47. (Tutorial session) Suppose we are given in. feeds and m nutrients and an m x in. matrix A = (\"if L3,, where [1,, :3 O species the amount of nutrient i that is contained in one unit of the jth food. Consider a parent with two children. Let b and b' be the minimal nutritional requirements of the two children, respectively, and let c be the cost vector with the prices of the different foods. Assume that c,- } I} for all 1'. The parent has to bu},r food to satisfj,r the children's needs, at minimum cost. To avoid jealousy, there is the additional constraint that the amount to be spent for each child is the same. a} Provide a standard form formulation of this problem. W'hat are the dimensions of the constraint matrix?I b} Suppose the DantzigWolfe decomposition method is used to solve the problem in part a]. Construct the subproblems solved during a typical iteration of the master problem. c} Suggest a direct approach for solving this problem based on the solution of two singlechild diet problems