The university administration would like to add some additional parking locations. Tomake everyone happy, they would like each building to be within a 5 minute walk ofone set of new parking spaces (the spaces will be added in blocks of 10 parkingspaces). The university is considering six locations for the new parking spaces, butwould like to minimize the overall cost of the project. In addition to the walking timerequirement, the university would like to add at least 40 new parking spaces (at least4 blocks of 10). To help with the decision, the management science departmentformulated the following linear programming model:Min 430x1 + 455x2 + 460x3+ 445x4 + 355x5 + 360×6S.t. x1 + x2 + x5 + x6 > 1 (Residence Hall A constraint)x1 + x2 + x3 > 1 (Residence Hall B constraint)x4 + x5 + x6 2 1 (Science building constraint}x1 + x4 + x5 2 1 (Music building constraint}x2 + x3 + x4 > 1 (Math building constraint}x3 + x4 + x5 2 1 (Business building constraint)x2 + x5 + x6 2 1 (Auditorium constraint)x1 + x4 + x6 21[Arena constraint)x1 + x2 + x3 + x4 + x5 + x6 > 4 (Total locations constraint)XJ = {1, if location j is selected{0, otherwisea. What is the minimum the university can spend and still meet its goals? (Round youranswer to the nearest whole number.)Minimum university goals:b. Which of the locations will be selected?Location 1 will:Location 2 will:Location 3 will:Location 4 will:Location 5 will:Location 6 will:

Answered: Image /qna-images/answer/f685f0ff-87c9-4a9d-9471-adbb85a3192c.jpg

Answered: The university administration would…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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