The City School system has three elementary schools to serve its district that is divided into five areas. The capacity
Posted: Tue Apr 26, 2022 6:04 pm
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
(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 system’s resources and its budget, how will
you efficiently revise your linear program to cope with this school
closing?
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
(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 system’s resources and its budget, how will
you efficiently revise your linear program to cope with this school
closing?