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

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Basic Math

Lafayette Public School System has three high schools to serve adistrict 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 thetable 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 forthe above problem to minimize the total student-miles traveled perday. You do NOT need to solve your listed linearprogram.  

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

Please use Word or something to write your answer andshow work. Thank you very much! :D

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