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Prangthip and Htet Eain Lin Company have 4 departments Animation (A), Sound-effect (B), Communication (C), and Marketing (D) need to be assigned to four

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Prangthip and Htet Eain Lin Company have 4 departments Animation (A), Sound-effect (B), Communication (C), and Marketing (D) need to be assigned to four rooms 1, 2, 3, and 4. These rooms are arranged in a row; in that order, the distance 1-2 is 20 feet, 2-3 is 30 feet, 3-4 is 20 feet, and 4-1 is 70 feet. Moving loads between adjacent departments are estimated to be $10.5. Moving a load between non-adjacent departments costs $21.18. The department workflows are contained in the table below. Animation Sound-effect Communication Marketing Animation 31 11 5 Sound-effect 48 29 25 Communication 0 43 41 Marketing 24 52 8 (a) Calculate the workflow handling in each of these assignments. (18 Marks) (1) The workflow handling the total of assigning A-1, B-2, C-3, D-4 (2) The workflow handling the total of assigning A-3, B-4, C-1, D-2 (3) The workflow handling the total of assigning A-4, B-3, C-2, D-1 (b) From (a), which assignment minimizes the workflow handling? (2 Marks)

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