The Dorton University president has asked the OSCM department to assign eight blology professors (A, B, C, D, E, F, G, and H) to eight offices (numbered 1 to 8 In the diagram) In the new blology building. 1 46772235 ABCDEFGH North wing 1 Courtyard The following distances and two-way flows are given: DISTANCES BETWEEN OFFICES (FEET) 2 3 4 5 6 7 8 10 25 34 15 18 20 30 18 25 10 South wing 341 3 | 0 1,024 - O 40,320 O 64 oooo e e 5 e e e 18 20 10 30 Funeo I 88888 1 15 10 20 TWO-WAY FLOWS (UNITS PER PERIOD) A B с D E F G 0 10 20 18 New biology building ISODEO 3 0 I u 5 18. RUOOO0041 2654421 e 18 34 10 H 4 ++0003 4 e a. If there are no restrictions (constraints) on the assignment of professors to offices, how many alternative assignments are there to evaluate? e 25,600 O 64,000 O There are an infinite number of possibilities

The Dorton University president has asked the OSCM department to assign eight blology professors (A, B, C, D, E, F, G, and H) to eight offices (numbered 1 to 8 In the diagram) In the new blology building. 1 46772235 ABCDEFGH North wing 1 Courtyard The following distances and two-way flows are given: DISTANCES BETWEEN OFFICES (FEET) 2 3 4 5 6 7 8 10 25 34 15 18 20 30 18 25 10 South wing 341 3 | 0 1,024 - O 40,320 O 64 oooo e e 5 e e e 18 20 10 30 Funeo I 88888 1 15 10 20 TWO-WAY FLOWS (UNITS PER PERIOD) A B с D E F G 0 10 20 18 New biology building ISODEO 3 0 I u 5 18. RUOOO0041 2654421 e 18 34 10 H 4 ++0003 4 e a. If there are no restrictions (constraints) on the assignment of professors to offices, how many alternative assignments are there to evaluate? e 25,600 O 64,000 O There are an infinite number of possibilities

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

Ch. 8 Q1

The Dorton University president has asked the OSCM department to assign eight blology professors (A, B, C, D, E, F, G, and H) to eight
offices (numbered 1 to 8 in the diagram) in the new blology building.
1
1
2
3
4
5
6
7
8
A
B
с
D
1
1-
E
F
North wing
The following distances and two-way flows are given:
DISTANCES BETWEEN OFFICES (FEET)
2 3 4 5
7
10
G
H
2
Courtyard
6
-
South wing
3
A B
- 4
7
25 34
18
-
0
e
-
O 40,320
O 64
4
25 18
10
20
-
30
8
-
6
15 18
15
10
15 18
20
18
15
10 25 34
-
18
TWO-WAY FLOWS (UNITS PER PERIOD)
C
F
G
New
biology
building
D E
e
5
0
e
e
3
e
e e
1
-
8
20 30
10 20
e
5
-
25
10
-
0
0
e
0
H
0
4
4
0
e
e
4 e
-
3
e. If there are no restrictions (constraints) on the assignment of professors to offices, how many alternative assignments are there to
evaluate?
1,024
O 25,600
O 64,000
O There are an infinite number of possibilities
H
OL
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1 of 8
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X

. If there are no restrictions (constraints) on the assignment of professors to offices, how many alternative assignments are there to
evaluate?
O 40,320
O64
O 1,024
O 25,600
O 64,000
O There are an Infinite number of possibilities
b. The blology department has sent the following Information and requests to the OSCM department:
Offices 1, 4, 5, and 8 are the only offices with windows.
A must be assigned Office 1.
D and E, the blology department co-chairpeople, must have windows.
H must be directly across the courtyard from D.
A, G, and H must be in the same wing.
F must not be next to D or G or directly across from G.
How many possible solutions (assignments of faculty to offices) satisfy all of the stated constraints?
Number to possible solutions
c. Suppose the biology department has selected the following final layout:
A-1
E-5
B-2
G-3
COURTYARD
F-6
C-7
H-4
Total flow-distance cost
D-8
What is the total flow-distance cost measure of this solution?
OL
1
E
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1 of 8
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