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:
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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. Â
(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
