Question
The City School system has three elementary schools to serve its district that is divided into five areas. The capacity of each elementary school, the
The City School system has three elementary schools to serve its district that is divided into five areas. The capacity of each elementary 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 | Riverside Elementary School | Samual Elementary School | Thomson Elementary School | Elementary School Student Population |
Beach | 3 | 5 | 1.5 | 400 |
Central | 7 | 8 | 6 | 550 |
Downtown | 5 | 7 | 4.5 | 360 |
East-shore | 4 | 3 | 5 | 290 |
Front-gate | 8.5 | 11 | 9 | 345 |
Elementary School CAPACITY | 1250 | 1035 | 755 |
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(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 program.
(Part b - 2 points) If Thomson Elementary School will be closed to conserve the school systems resources and its budget, how will you efficiently revise your linear program to cope with this school closing?
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