b) A management consulting firm has a backlog of 4 contracts. Work on these contracts must be started immediately. Three project leaders are available for assignment to the contracts. Because of the varying work experience of the project leaders, the profit (in R'000) to consulting firm will vary based on the assignment shown in Table 2. The unassigned contract can be completed by subcontracting the work to an outside consultant. Table 2: Profits Contract Project Leader 1 2 3 4 A 13 10 9 11 B 15 17 13 20 с 6 8 11 7 Find the optimal assignment and give the total assignment profit.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
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b) A management consulting firm has a backlog of 4 contracts. Work on these contracts must
be started immediately. Three project leaders are available for assignment to the contracts.
Because of the varying work experience of the project leaders, the profit (in R'000) to
consulting firm will vary based on the assignment shown in Table 2. The unassigned
contract can be completed by subcontracting the work to an outside consultant.
Table 2: Profits
Contract
Project
Leader
1
2
3
4
A
13
10
9
11
B
15
17
13
20
с
6
8
11
7
Find the optimal assignment and give the total assignment profit.
Transcribed Image Text:b) A management consulting firm has a backlog of 4 contracts. Work on these contracts must be started immediately. Three project leaders are available for assignment to the contracts. Because of the varying work experience of the project leaders, the profit (in R'000) to consulting firm will vary based on the assignment shown in Table 2. The unassigned contract can be completed by subcontracting the work to an outside consultant. Table 2: Profits Contract Project Leader 1 2 3 4 A 13 10 9 11 B 15 17 13 20 с 6 8 11 7 Find the optimal assignment and give the total assignment profit.
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