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 theminimum number of workers needed during the 6 periods into which the day is divided:Decision vairable:X₁ = = number of workers reporting for the start of working period i, where i = 1, 2, 3, 4, 5, or 6.Objective function:Minimize Z =Subject to: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 X; equal the number of servers beginning work in time period i, where i = 1, 2, 3, 4, 5, 6.)X₁ +X₂ +X3 +X4 +X5 +X6 +For all X; ≥0≥ 12≥ 15≥ 10Period123456≥13≥4≥4Time3 A.M. - 7 A.M.7 A.M..- 11 A.M.11 A.M. - 3 P.M.3 P.M. - 7 P.M.7 P.M. - 11 P.M.11 P.M. - 3 A.M.Number of Servers Required4121510134(7 A.M. - 11 A.M.)(11 A.M. - 3 P.M.)(3 P.M. - 7 P.M.)(7 P.M. - 11 P.M.)(11 P.M. - 3 A.M.)(3 A.M. - 7 A.M.)

X1 be the number of workers reporting to work at 3 am and work till 11 am X2 be the number of…

Answered: Wichita's famous Sethi Restaurant is…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

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