Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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**Chapter 16 Assessment**

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:

**Table: Hours Required to Complete Projects**
```
Consultant   Project (Hours)
            A    B    C    D
Charlie    13   16   11   13
Betty      11   15   14   18
Johnny     15   22   12   15
Rick       17   17   12   22
```

Assume there must be one-to-one matching between consultants and projects. What is the optimal assignment of consultants to projects?

**Multiple Choice Options:**
- ○ Charlie to A; Betty to B; Johnny to C; Rick to D
- ○ Charlie to D; Betty to C; Johnny to B; Rick to A
- ○ Charlie to C; Betty to A; Johnny to D; Rick to B
- ○ Charlie to D; Betty to B; Johnny to C; Rick to A
- ○ Charlie to D; Betty to A; Johnny to C; Rick to B
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Transcribed Image Text:**Chapter 16 Assessment** 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: **Table: Hours Required to Complete Projects** ``` Consultant Project (Hours) A B C D Charlie 13 16 11 13 Betty 11 15 14 18 Johnny 15 22 12 15 Rick 17 17 12 22 ``` Assume there must be one-to-one matching between consultants and projects. What is the optimal assignment of consultants to projects? **Multiple Choice Options:** - ○ Charlie to A; Betty to B; Johnny to C; Rick to D - ○ Charlie to D; Betty to C; Johnny to B; Rick to A - ○ Charlie to C; Betty to A; Johnny to D; Rick to B - ○ Charlie to D; Betty to B; Johnny to C; Rick to A - ○ Charlie to D; Betty to A; Johnny to C; Rick to B
### Chapter 16 Assessment

#### Question 17

**What is the optimum job sequence for the jobs listed below using Johnson's rule?**

| Job | Center 1 (hrs) | Center 2 (hrs) |
|-----|---------------|----------------|
| d   | 13            | 23             |
| e   | 23            | 13             |
| f   | 16            | 18             |
| g   | 20            | 17             |

**Multiple Choice Options:**
- ( ) e-g-f-d
- ( ) d-g-f-e
- (x) d-f-g-e
- ( ) e-d-f-g
- ( ) f-e-d-g

The selected answer is "d-f-g-e". Johnson's rule is used to minimize the total time in a two-machine flow shop scheduling problem. The rule involves selecting the job with the shortest processing time first, ensuring optimal sequencing.
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Transcribed Image Text:### Chapter 16 Assessment #### Question 17 **What is the optimum job sequence for the jobs listed below using Johnson's rule?** | Job | Center 1 (hrs) | Center 2 (hrs) | |-----|---------------|----------------| | d | 13 | 23 | | e | 23 | 13 | | f | 16 | 18 | | g | 20 | 17 | **Multiple Choice Options:** - ( ) e-g-f-d - ( ) d-g-f-e - (x) d-f-g-e - ( ) e-d-f-g - ( ) f-e-d-g The selected answer is "d-f-g-e". Johnson's rule is used to minimize the total time in a two-machine flow shop scheduling problem. The rule involves selecting the job with the shortest processing time first, ensuring optimal sequencing.
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