The university administration would like to add some additional parking locations To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces) The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10) To help with the decision, the management science department formulated the following linear programming model Min 350 x 1 425 x 2 425 x 3 465 x 4 485 x 5 365 x 6 s t x 1 x 2 x 5 x 6 1 Residence Hall A constraint x 1 x 2 x 3 1 Residence Hall B constraint x 4 x 5 x 6 1 Science building constraint x 1 x 4 x 5 1 Music building constraint x 2 x 3 x 4 1 Math building constraint x 3 x 4 x 5 1 Business building constraint x 2 x 5 x 6 1 Auditorium constraint x 1 x 4 x 6 1 Arena constraint x 1 x 2 x 3 x 4 x 5 x 6 4 Total locations constraint xj 0, 1 What is the minimum the university can spend and still meet its goals (Round your answer to the nearest whole number ) Minimum university goals Answer Which of the locations will be selected Location 1 will Answer not be selectedbe selected Location 2 willAnswer be selectednot be selected Location 3 willAnswer not be selectedbe selected Location 4 willAnswer not be selectedbe selected Location 5 willAnswer not be selectedbe selected Location 6 willAnswer not be selectedbe selected

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The university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5

The university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces). The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10). To help with the decision, the management science department formulated the following linear programming model:

Min350x₁+425x₂+425x₃+465x₄+485x₅+365x₆ s.t.x₁+x₂+x₅+x₆ 1 {Residence Hall A constraint} x₁+x₂+x₃ 1 {Residence Hall B constraint} x₄+x₅+x₆ 1 {Science building constraint} x₁+x₄+x₅ 1 {Music building constraint} x2 +x₃+x₄ 1 {Math building constraint} x₃+x₄+x₅ 1 {Business building constraint} x₂+x₅+x₆ 1 {Auditorium constraint} x₁+x₄+x₆ 1 {Arena constraint} x₁+x₂+x₃+x₄+x₅+x₆ 4 {Total locations constraint}

xj=0, 1

What is the minimum the university can spend and still meet its goals?(Round your answer to the nearest whole number.)

Minimum university goals Answer

Which of the locations will be selected?

Location 1 will Answer not be selectedbe selected Location 2 willAnswer be selectednot be selected Location 3 willAnswer not be selectedbe selected Location 4 willAnswer not be selectedbe selected Location 5 willAnswer not be selectedbe selected Location 6 willAnswer not be selectedbe selected