Wildcat City School System has three elementary schools to serve a city 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: AREAAcorn Elementary SchoolBenton Elementary SchoolCornhill Elementary SchoolElementary School Student PopulationNortheast1.52.50.5700Southeast41.531100Southwest2.532.5900Northwest0.541.5600Central121800Elementary SchoolCAPACITY24002100900 (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 Cornhill Elementary School will be closed to conserve the school system’s resources and its budget, how will you revise your linear program to cope with this school closing?

Part (a): Formulate the Linear Program Variables:Let (xij) represent the number of students from…

Answered: Wildcat City School System has three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Wildcat City School System has three elementary schools to serve a city 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	Acorn Elementary School	Benton Elementary School	Cornhill Elementary School	Elementary School Student Population
Northeast	1.5	2.5	0.5	700
Southeast	4	1.5	3	1100
Southwest	2.5	3	2.5	900
Northwest	0.5	4	1.5	600
Central	1	2	1	800
Elementary School CAPACITY	2400	2100	900

(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 Cornhill Elementary School will be closed to conserve the school system’s resources and its budget, how will you revise your linear program to cope with this school closing?

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