MANAGEMENT SCIENCE @ DECISION ANALYSIS @ TRANSPORTATION METHOD Transportation an
ID: 2651858 • Letter: M
Question
MANAGEMENT SCIENCE @ DECISION ANALYSIS @ TRANSPORTATION METHOD
Transportation and Assignment Solution Methods
Bayville has built a new elementary school so that the town now has a total of four schools:
Addison, Beeks, Canfield, and Daley. Each has a capacity of 400 students. The school wants to
assign children to schools so that their travel time by bus is as short as possible. The school has
partitioned the town into five districts conforming to population density—north, south, east,
west, and central. The average bus travel time from each district to each school is shown as
follows:
Determine the number of children that should be assigned from each district to each school to minimize total student travel time???
Travel Time (min.) district addison beeks canfield delay student population north 12 23 35 17 250 south 26 15 21 27 340 east 18 20 22 31 310 west 29 24 35 10 210 central 15 10 23 16 290Explanation / Answer
The answer is as follows:
The assignment is as follows :
North district assigned to addision school
South District assigned to Beaks and canfield school
East district assigned to Addision and canfield school
west district assigned to delay school
central district to beaks and delay school .
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The calculation is shown below :
Beaks and delay school to cental
District addision beaks canfield delay student population North 12 23 35 17 250 south 26 15 21 27 340 east 18 20 22 31 310 west 29 24 35 10 210 central 15 10 23 16 290 capacity 400 400 400 400 1400 First Reduced table District addision beaks canfield delay student population North 0 11 23 5 250 south 11 0 6 12 340 east 0 2 4 13 310 west 19 14 25 0 210 central 5 0 13 6 290 capacity 400 400 400 400 1400Related Questions
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