The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client. Accordingly, she has estimated the time it should take for each of her top consultants-Charlie, Betty, Johnny, and Rick-to complete any of the four projects, as follows: Consultant Charlie Betty Johnny Rick O 0 hours O 8 hours O 10 hours O 9 hours O 22 hours A 13 11 OOO 15 17 Project (Hours) Σ34529 B 16 15 22 17 CHH22 с 11 14 12 12 Assume there must be one-to-one matching between consultants and projects. After the row and column reductions, what is the resulting entry in the new table for assigning Rick to project D? D 13 18 15 22

Practical Management Science
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Author:WINSTON, Wayne L.
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The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client. Accordingly, she has
estimated the time it should take for each of her top consultants-Charlie, Betty, Johnny, and Rick-to complete any of the four projects, as follows:
Consultant
Charlie
Betty
Johnny
Rick
A
13
11
15
17
O 0 hours
O 8 hours
O 10 hours
O9 hours
O 22 hours
Project (Hours)
B
16
15
22
17
C
с
11
14
12
12
D
13
18
15
22
Assume there must be one-to-one matching between consultants and projects. After the row and column reductions, what is the resulting entry in the new
table for assigning Rick to project D?
Transcribed Image Text:The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client. Accordingly, she has estimated the time it should take for each of her top consultants-Charlie, Betty, Johnny, and Rick-to complete any of the four projects, as follows: Consultant Charlie Betty Johnny Rick A 13 11 15 17 O 0 hours O 8 hours O 10 hours O9 hours O 22 hours Project (Hours) B 16 15 22 17 C с 11 14 12 12 D 13 18 15 22 Assume there must be one-to-one matching between consultants and projects. After the row and column reductions, what is the resulting entry in the new table for assigning Rick to project D?
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