b. Which crews are assigned to work?Crew 1 willCrew 2 willCrew 3 willCrew 4 willCrew 5 willCrew 6 willCrew 7 willCrew 8 will The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to cleanonly certain buildings. There are eight possible crews to choose from in this case. The goal is to minimize costs whilemaking sure that each building is cleaned. The management science department formulated the following linearprogramming model to help with the selection process.Min 270x1 + 290x2 + 250x3+ 270x4 + 230x5 + 180×6 + 180×7 + 280x8S.t. x₁ + x2 + x5 + x7 ≥ 1 {Building A constraint}X1 + x2 + x3 ≥ 1 {Building B constraint}X6 + x8 ≥ 1 {Building C constraint}X1 + x4 + x7 ≥ 1 {Building D constraint}x2 + x7 ≥ 1 {Building E constraint}x3 + x8 ≥ 1 {Building F constraint}x2 + x5 + x7 ≥ 1 (Building G constraint}x1 + x4 + x6 ≥ 1 {Building H constraint}X1 + x4 + x8 ≥ 1 {Building I constraint}x1 + x2 + x7 ≥ 1 {Building J constraint}xj=ſ 1, if crew jis selected10, otherwiseSet up the problem in Excel and find the optimal solution.a. What is the cost of the optimal crew assignment?Cost of optimal crew assignment

Objective Functions and Constraints: Based on the given details, the objective…

Answered: The university is scheduling cleaning…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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