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The Electric Sheep Division of Block C Enterprises has decided to investigate th

ID: 376096 • Letter: T

Question

The Electric Sheep Division of Block C Enterprises has decided to investigate the potential rearrangement of one of its facilities. The first step is to evaluate the current arrangement. The tables below show the distance between the 7 departments and the number of trips necessary in a typical month. Assume that the number of reverse trips is the same (i.e., the matrices are symmetric). The average cost per trip-foot is $0.16. Calculate the TOTAL monthly costs, in dollars, of moving loads FROM department 1.

Distance in Feet To

From/To

1

2

3

4

5

6

7

1

-

120

120

225

225

325

325

2

-

-

100

100

150

200

225

3

-

-

-

150

100

250

200

4

-

-

-

-

100

100

150

5

-

-

-

-

-

150

100

6

-

-

-

-

-

-

100

7

-

-

-

-

-

-

-

Trips per Month To

From/To

1

2

3

4

5

6

7

1

-

300

50

75

250

100

125

2

-

-

100

50

100

200

100

3

-

-

-

100

50

100

50

4

-

-

-

-

50

50

100

5

-

-

-

-

-

150

200

6

-

-

-

-

-

-

100

7

-

-

-

-

-

-

-

Question 1 options:

25720

27920

30120

34920

37120

39320

41520

43720

From/To

1

2

3

4

5

6

7

1

-

120

120

225

225

325

325

2

-

-

100

100

150

200

225

3

-

-

-

150

100

250

200

4

-

-

-

-

100

100

150

5

-

-

-

-

-

150

100

6

-

-

-

-

-

-

100

7

-

-

-

-

-

-

-

Explanation / Answer

Total cost from department 1 to all departments = (number of trips to each department)*(distance to each department)*0.16

Department 1 to 2 = 300*120 = 36000 feet

Department 1 to 3 = 50*120 = 6000 feet

Department 1 to 4 = 75*225 = 16875

Department 1 to 5 = 250*225 = 56250

Department 1 to 6 = 100*325 = 32500

Department 1 to 7 = 125*325 = 40625

Total distance covered = 36000+6000+16875+56250+32500+40625

= 188250 feet

Total cost from department 1 = 188250*0.16 = $30120

Option C = 30120

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