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
Answer:
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.
