Project Name : To Minimize the Transportation Cost from Several Areas of City to Three Schools (Linear Programming)
Theme Name : Mathematics in Everyday Life
I) Actual case study for our school: Using data provided by our school bus operator we tried to minimize the number of buses required for commuting children of our school.
We used linear programming (Graphical Method) for this and found that 9 buses are sufficient whereas earlier we needed 11 buses.
II) Actual case study for 3 nearby schools on either side of the road: There is only 1 approach road from the western side of Nagpur city to these schools. There is a toll booth at the intersection, bypass road being a highway. The road is narrow, without a road divider and there is heavy traffic all throughout the day causing traffic jam during busy hours. 31 school buses are currently plying from these 3 schools, carrying around 1400 children. If the same bus operator is appointed we need around 19 buses thereby reducing cost of petrol, pollution, fuel consumption and traffic congestion. The cost of transportation will also reduce hence the children can be charged less per month reducing economic burden on parents. For this we used linear programming and verified our result using graphical and simplex method.
Name of the School: Centre Point School, Nagpur
