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Problem Asignment (Resource Allocation)

Total points: 20

#1) A restaurant chain is building a new restaurant. The following are the activities that need to be completed to get the restaurant opened. In addition, data related to the activities are provided in the following table.

Activity

Preceding Activities

Normal

Time (wks)

Crash Time

(wks)

Expediting (Crashing) cost per week ($)

B

–

18

15

1,800

C

–

15

14

2,000

D

B,C

5

5

–

E

C

9

6

4,000

F

D,E

2

1

1,000

  • Determine completion time for the project?
  • The restaurant is expected to lose $3,500 per week for every week the restaurant is not completed. Given the expediting costs, the manager thinks that it may be worthwhile reducing the duration of the project. By how many weeks should the project completion time be reduced, if the restaurant chain is willing to pay crashing/expediting cost?
  • What is the project duration if all activities are crashed to their minimum?

#1) Following information is available about a project.

Activity

Activity Time (Weeks)

Immediate Predecessor(s)

a

5

–

b

4

–

c

3

a

d

4

a

e

6

a

f

4

b, c

g

5

d

h

6

d, e

i

6

f

j

4

g, h

A critical resource used by activities “b”, “c”, “d” and “e” is scarce. To which activity would you assign the specific resource first, for each priority rule: (10 points)

Note: For each priority rule (below) you have to select an activity (b, c, d, or e).

  1. Minimum slack first
  2. Most followers (successors)
  3. Most critical followers
  4. Shortest task duration first
  5. As soon as possible

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