Question: please answer before midnight BA 353: ICE 5 - Medium LPs Set up and solve the two medium-sized LPs from the online chapter below. Work
please answer before midnight
BA 353: ICE 5 - Medium LPs Set up and solve the two medium-sized LPs from the online chapter below. Work in teams if possible, these can be tricky to do on your own. Good luck! B.16 NUMBER OF The Arden County, Maryland, superintendent of education is responsible for assigning students to the three high schools in his county. He recognizes the need to bus a certain number of students, for several sectors of the county are beyond walking distance to a school. The superintendent partitions the county into five geographic sectors as he attempts to establish a plan that will minimize the total number of student miles traveled by bus. He also rec- ognizes that if a student happens to live in a certain sector and is assigned to the high school in that sector, there is no need to bus him because he can walk to school. The three schools are located in sectors B, C, and E The accompanying table reflects the number of high-school-age students living in cach sector and the distance in miles from each sector to each school DISTANCE TO SCHOOL SCHOOL IN SCHOOL IN SCHOOL IN SECTOR SECTOR B SECTOR C STUDENTS 6 700 12 500 100 800 400 2.500 Fach high school has a capacity of 900 students. Set up the objective function and constraints of this problem using linear programming so that the total number of student miles traveled by bus is minimized b) Solve the problem SECTOR E CUA 0 4 13 JOU 8 4 0 2 D E COM 12 Hints: Call the three schools 1, 2 and 3. Variable Al then means how many students from neighborhood A go to school 1 (which happens to be in neighborhood B); A2 is students from A that go to 2 etc. all the way to variable E3. Fifteen variables! Eight constraints
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