Problem A (50 points) Austin Public School System has three middle schools to serve a district divided into five areas. The student capacity of each middle school, the student population in each area, and the travel distance (in miles) between each school and the area are listed in the table below:

AREA	Alicia Middle School	Benjamin Middle School	Columbia Middle School	Area Student Population
North	2.8	1.9	2.6	1250
South	3.2	4.4	3.9	900
East	1.5	3.2	4.5	1500
West	2.5	2.6	3.3	720
Central	1.9	2.7	2.2	1075
School student capacity	2700	2200	1100

Create a network and formulate a linear program for the above problem to minimize the total student-miles traveled per day. Make sure your decision variables are clearly defined and the objective function and its constraints are listed. You do not need to solve the program.