Assume there must be one-to-one matching between consultants and projects. For the optimal schedule, what is the total number of hours it will take these consultants to complete these projects

Complete Question:

The president of a consulting firm wants to minimize the total number of hours it will take to complete three 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 three projects, as follows: Project (Hours) Consultant Charlie 16 11 13 Betty 15 14 18 Johnny 22 12 15 Rick 17 12 22 Assume there must be one-to-one matching between consultants and projects. For the optimal schedule, what is the total number of hours it will take these consultants to complete these projects? Options: 46 hours, 61 hours, 53 hours, 54 hours, 50 hours

For the optimal schedule, the total number of hours it will take these consultants to complete these projects is:

54 hours

Explanation:

a) Data and Calculations:

                                        Project (Hours)

Consultant             A            B            C          D   Project assignment

Charlie                   13           16           11          13    Charles takes C for 11      

Betty                       11           15           14         18    Betty takes A for 11

Johnny                   15          22          12         15    Johnny takes D for 15

Rick                        17           17           12         22   Rick takes B for 17

Minimum hours     11            15          11          13    Total hours taken 54

b) To achieve optimal schedule, Consultant Betty should take project A, spending 11 hours.  Consultant Charlie should take project C for 11 hours.  Consultant Johnny should take project D for 15 hours, while Rick takes project B for 17 hours.  This gives a total of 54 hours spent on the four projects.

answer; ///i believe the correct   answer is (e) transformational;

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