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The supply point should be at (33.75, 37.50).

 

Weight

X coord

Y coord

Project A

1

50

10

Project B

1

15

60

Project C

1

40

60

Project D

1

30

20

Sum

4

135

150

Average

33.75

37.5

Weighted Average

33.75

37.5

Distance to COG

Project A

31.94

Project B

29.29

Project C

23.35

Project D

17.90

(Methods of evaluating location alternatives, difficult) {AACSB: Analytic Skills}

125. Every month, a distribution center will deliver 14,000 units to Retailer A at coordinates (20, 10), 12,000 units to Retailer B at coordinates (30, -15), and 20,000 units to Retailer C at coordinates (4, 4). Assuming no constraints on location, at what coordinates should the distribution center be located (rounded to two decimal places)?

(15.65, 0.87), where 15.65 = [20(14) + 30(12) + 4(20)]/(14 + 12 + 20),

and 0.87 = [10(14) − 15(12) + 4(20)]/(14 + 12 + 20).

(Methods of evaluating location alternatives, moderate) {AACSB: Analytic Skills}

218

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