Minimax Location- Class Exercise
The Provincial Government is considering a site for a police station, which should serve 3
rural communities: Red Sox, Blue Sky and Newmont.
There are 3 possible sites available for the police station, with the following information:
The distances from Site 1
are: 20km to Red Sox, 14 to Blue Sky and 27 to Newmont.
The distances from Site 2
are: 10km to Red Sox, 24 to Blue Sky and 17 to Newmont. The distances from Site 3
are: 15km to Red Sox, 18 to Blue Sky and 21 to Newmont. You have to recommend the best site for the police station, according to the Minimax Rule.
Site 1 – 20km, 14km, 27km = max. in row 27km
Site 2 – 10km, 24km, 17km = max. in row 24km
Site 3 – 15km, 18km, 21km = max. in row 21km
Centre of Gravity- Class Exercise
The following table gives the map co-ordinates and shipping loads for some local cities. We wish to build a new warehouse in a central location in order to minimize transportation costs. At what co-ordinates should this warehouse be located?
City
Map Co-ordinates (x, y)
Number of truckloads
______________________________________________________________
Brampton
(6.0, 3.0)
9
Barrie
(9.0, 10.0)
10
Mississauga
(6.0, 1.8)
15
Oakville
(2.0, 0.8)
6
Hamilton
(0.9, 0.5)
18
Guelph (1.2, 4.0)
12
Milton
(1.8, 2.8)
8
(
X Co-ordinates
) =(6x9) + (9x10) + (6x15) + (2x6) +(0.9x18) + (1.2x12) + (1.8x 8)/ 9+10+15+6+18+12+8 = 3.73
(Y Co-ordinates)= (3x9) + (10x10) + (1.8x15) + (0.8x6) + (0.5x 18) + (4x12) + (2.8x10)
/
9+10+15+6+18+12+8 = 3.05
