x 2 0 for all i, j. Solve. Relationship Assignment Time (days) X11 0 0 X 12 1 1 X X13 0 0 X21 1 1 X X22 0 0 X23 0 0 X31 0 0 X32 0 0 X33 1 1 X What is the total time required (in days)? 64 daysScott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows. Client Project Leader 1 Jackson 10 16 32 2 Ellis 14 40 Smith 22 24 34 (a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen MNS407Week2AssignmentQuestion4.xlsx Score: 0.07 out of 0.07(b) Formulate the problem as a linear program. (Express your answers in the form x, where x, represents the completion time from leader / to client j.) Min 10*jj + 16*12 + 32x13 + 14x21 + 22x22 + 40x23 + 22x31 + 24x32 + 34x33 s.t. Jackson Ellis *21 + X22 + X23 5 1 Smith *31 + *32 + X33 1 Client 1 *11 *21 + *31 = 1 Client 2 *12 + *22 + X32 = 1 Client 3 *13 + *23 + X33 = 1