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Question
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 consultantsCharlie, Gerald, Johnny, and Rickto complete any of the four projects, as follows:
| Project Hours | ||||
| Consultant | A | B | C | D |
| Charlie | 13 | 16 | 11 | 18 |
| Gerald | 13 | 15 | 10 | 12 |
| Johnny | 15 | 11 | 20 | 15 |
| Rick | 17 | 17 | 12 | 22 |
(a) What is the total number of hours required by the following arbitrary assignment?
Charlie→B; Gerald→A; Johnny→D; Rick→C
(b) What is the optimal assignment of consultants to projects? (Use the assignment method.)
(c) For the optimal schedule, what is the total number of hours it will take these consultants to complete these projects?
Answer
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