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

ID: 376976 • 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 in both direction in the facility.

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

175

250

100

275

2

-

-

100

50

100

200

100

3

-

-

-

100

50

100

50

4

-

-

-

-

50

50

100

5

-

-

-

-

-

150

200

6

-

-

-

-

-

-

100

7

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 month cost = 0.16*SUM of (The total distance for each department)

The total distance for each department will be = Distance between department*Number of trips

Example: 1to2 = 120*300 = 36000

1 to 3 = 120*50 = 6000. Similarly can be done for all

Total = 484,500 feet

Total cost =0.16*484500 = 77,520 dollar

From/To 1 2 3 4 5 6 7 1 36000 6000 39375 56250 32500 89375 2 10000 5000 15000 40000 22500 3 15000 5000 25000 10000 4 5000 5000 15000 5 22500 20000 6 10000
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