Please answer the optimal solution results in total workers

Wichita's famous Sethi Restaurant is open 24 hours a day. Servers report for duty at 3 A.M., 7 A.M., 11 A.M., 3 P.M., 7 P.M., or 11 P.M., and each works an 8-hour shift. The following table shows the minimum number of workers needed during the 6 periods into which the day is divided: Decision vairable: Xi= number of workers reporting for the start of working period i, where i=1,2,3,4,5, or 6 . Owner Avanti Sethi's scheduling problem is to determine how many servers should report for work at the start of each time period in order to minimize the total staff required for one day's operation. (Hint. Let Xi equal the number of servers beginning work in time period i, where i=1,2,3,4,5,6.) Objective function: Minimize Z=X1+X2+x3+x4+x5+x6 Owner Avanti Sethi's scheduling problem is to determine how many servers should report for work at the start of each time period in order to minimize the total staff required for one day's operation. (Hint: Let Xi equal the number of servers beginning work in time period i, where i=1,2,3,4,5,6.) Objective function: Minimize Z=X1+X2+X3+X4+X5+X6 Subject to: x1+x212x2+x316x3+x49x4+x511x5+x64x6+x13(7A.M.-11A.M.)(11A.M.-3P.M.)(3P.M.-PP.M.)(7P.M.-11P.M.)(11P.M.-3A.M.)(3A.M.-7A.M.) For all Xi0 The optimal solution results in total workers = (enter your response as a whole number)