Question

In: Statistics and Probability

Lafayette Public School System has three high schools to serve a district divided into five areas....

Lafayette Public School System has three high schools to serve a district divided into five areas. The capacity of each high school, the student population in each area, and the distance (in miles) between each school and the center of each area are listed in the table below:

  

AREA

Aceland High School

Bloomington High School

Capedot High School

High School Student Population

North

1.8

2.4

0.5

800

South

2.5

1.5

3

1200

East

4

3

2.5

800

West

2.7

4

1.9

600

Central

1.8

2.2

1.6

700

High School

CAPACITY

2500

1900

1000

(Part a - 8 points) Formulate and list the linear program for the above problem to minimize the total student-miles traveled per day. You do NOT need to solve your listed linear program.  

(Part b - 2 points) If Capedot High School will be closed to conserve the school system’s resources and its budget, how will you efficiently revise your linear program to cope with this school closing?

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Expert Solution

orchestra answered 1 year ago
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