Question 1a

A clothing chain is considering two different locations for a new retail outlet. They have identified the four factors listed in the following table as the basis for evaluation, and have assigned weights as shown on the left. The manager has rated each location on each factor, on a 100-point basis, as shown on the right.

Factor	Factor Description	Weight		Barclay	Chester
1	Average community income	.40		30	20
2	Community growth potential	.25		40	30
3	Availability of public transportation	.15		20	20
4	Labor cost	.20		10	30

Use factoring method to decide which location should be selected?

Question 1a :

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Question 1b

A full-service restaurant is considering opening a new facility in a specific city. The table below shows its ratings of four factors at each of two potential sites.

Factor	Weight	Gary Mall	Belt Line
Affluence of local population	.20	30	30
Traffic flow	.40	50	20
Parking availability	.20	30	40
Growth potential	.20	10	30

Use Factoring-method to decide which city should be selected?

Question 1b:

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Question 1c

1. East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the center of gravity? (write out calculation process)

	X-coordinate	Y-coordinate	Volume
Athens, Texas	30	30	100
Beaumont, Texas	20	10	400
Carthage, Texas	10	70	100
Denton, Texas	50	50	200

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Question 1d)

1. Determine the optimal location to set up a central hub for the below scenario with seven (7) customers, A, B, C, D, E, F and G with shipping loads and location co-ordinates as provided.

Customer	Tons	Grid Co-ordinates(x,y)
A	500	5,10
B	1,000	6,8
C	1,500	4,9
D	500	9,5
E	1,500	7,9
F	1,000	3,2
G	500	2,6

1. Sketch a diagram to indicate the optimal location relative to the customers.

Sketch a diagram of the solution: