operation management
Problem 4 (15 points) In the precedence chart to the right, times are in seconds. 1 Assume that the plant runs one 7.5 hour shift per day and the assembly line is designed with 5 stations (one worker per station) with one task per station. (Stations 1, 2, 3, 4, and 5 respectively perform tasks 1, 2, 3, 4 and 5.) (a) What is the capacity of this line (units per shift)? ???????????????????(b) How many such lines would you need if you wanted to produce 2000 units per day? (c) What would be the actual capacity for one day? (d) What would be the total number of workers? Using the same precedence diagram: Suppose you design a batch layout with 3 departments (Dept 1 o Tasks 1 & 3; Dept. 2 o Task 2; Dept 3 o Tasks 4 & 5). Calculate number of workers needed for each department to produce 2000 units per day and complete the table below to assist you in answering questions e.)Af¨?j.). (e) What is the total time per worker per day (in seconds)? Dept 1 ?? Dept 2 ?? ? Dept 3 ? Total time needed in seconds / shift f.) ? Number of workers g.) ? # workers needed ? h.) (f) What is the total time needed in seconds /shift in department 1? (g) What is the calculated number of workers needed in department 2? 4 (h) What is the actual number of workers needed in department 3? (i) What is the capacity of department 2? (j) What is the actual capacity of the whole process?
Problem 4 (15 points) In the precedence chart to the right, times are in seconds. 1 Assume that the plant runs one 7.5 hour shift per day and the assembly line is designed with 5 stations (one worker per station) with one task per station. (Stations 1, 2, 3, 4, and 5 respectively perform tasks 1, 2, 3, 4 and 5.) (a) What is the capacity of this line (units per shift)? ???????????????????(b) How many such lines would you need if you wanted to produce 2000 units per day? (c) What would be the actual capacity for one day? (d) What would be the total number of workers? Using the same precedence diagram: Suppose you design a batch layout with 3 departments (Dept 1 o Tasks 1 & 3; Dept. 2 o Task 2; Dept 3 o Tasks 4 & 5). Calculate number of workers needed for each department to produce 2000 units per day and complete the table below to assist you in answering questions e.)Af¨?j.). (e) What is the total time per worker per day (in seconds)? Dept 1 ?? Dept 2 ?? ? Dept 3 ? Total time needed in seconds / shift f.) ? Number of workers g.) ? # workers needed ? h.) (f) What is the total time needed in seconds /shift in department 1? (g) What is the calculated number of workers needed in department 2? 4 (h) What is the actual number of workers needed in department 3? (i) What is the capacity of department 2? (j) What is the actual capacity of the whole process?
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