Week 6 Exercise (Facility Location)

Question 1

Using the following factor ratings (100 points is the maximum), determine which location for a clothing store, A, B, or C, should be chosen.

			LOCATION
Factor (100 points each)	Weight	A	B	C
Convenience of access	0.15	80	70	60
Parking facilities	0.20	72	76	92
Frontage	0.18	88	90	90
Shopper traffic	0.27	94	86	80
Operating costs	0.10	98	90	82
Neighborhood	0.10	96	85	75
	1.00

Question 2

A company that handles hazardous waste wants to open up a central disposal centre. The objective is to minimize the total shipping cost to the disposal centre from five receiving stations it operates. Given the locations of the receiving stations and the volumes to be shipped daily below, determine the location of the disposal centre.

Location of	Volume
Processing	Tons per
Station (x, y)	Day
10, 4	26
4, 1	9
4, 7	25
2, 6	30
8, 7	40

Question 3

A toy manufacturer distributes its toys from five distribution centres (DCs) throughout the country. A new plant is to be built for a new line of toys. The monthly quantities to be shipped to each DC are approximately the same. A coordinate system has been established and the coordinates of each DC have been determined as shown below. Determine the optimal coordinates of the plant.

Location	(x, y)
A	3, 7
B	8, 2
C	4, 6
D	4, 1
E	6, 4