In: Math
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?
Please use Word or something to write your answer and show work. Thank you very much! :D