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Printed (Chinese) Name: THU ID: Class: Problem 8 (10 points) The president of a consulting firm wants to minimize the total number of hours it

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Printed (Chinese) Name: THU ID: Class: Problem 8 (10 points) 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: Project (Hours) Consultant A B Charlie .-13+1 16 11 1 3 21 Betty 11, 13DV 14 - 18 - Johnny 15 : 22 1 12 . 15 2 Rick 17 -> 1790 -2 12 y 225 14 5 1225 Assume there must be one-to-one matching between consultants and projects. What is the optimal assignment of consultants to projects? 41 = 24 How many 15418412413. rt Charlie y D Betty - A Johny c Rick B mai ales Dendropletne 29+12,25 = 4.149 13111112111=53 What is the optimal cost? A: 53

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