Need Help With Optimal Solution!

Homework: HW9 Sal Score: 0 of 5 pts 6 of 6 (0 complete) HW Score: 0%, 0 of 25 Problem B.36 Question Help Decision vairable: X;= number of workers reporting for the start of working period i, where i = 1, 2, 3, 4, 5, or 6. Period Time Number of Servers Required 1 3 A.M. - 7 A.M. 3 2 7 A.M. - 11 A.M. 15 3 11 A.M. - 3 P.M. 18 4 3 P.M. - 7 P.M. 12 5 7 P.M. -11 P.M. 14 6 11 P.M. - 3 A.M. 3 Owner Avanti Sethi's scheduling problem is to determine how many servers should report for work at the start of eac time period in order to minimize the total staff required for one day's operation. (Hint: Let X; equal the number of servers beginning work in time period i, where i = 1, 2, 3, 4, 5, 6.) Objective function: Minimize Z= x + xy + X3 + X+X5 + Xs Subject to: X, + X2 215 (7 A.M. - 11 A.M.) X2 + X3 2 18 (11 A.M. - 3 P.M.) X3 + X 212 (3 P.M. - 7 P.M.) X + X5 2 14 (7 P.M. - 11 P.M.) Xg+ X 23 (11 P.M. - 3 A.M.) X6 + X, 23 (3 A.M. - 7 A.M.) For all X 20 The optimal solution results in total workers = (enter your response as a whole number). Enter your answer in the answer box and then click Check