Question 5 a) Departments A, B, C, and D need to be assigned to four rooms 1, 2, 3, and 4. These rooms are arranged in a row, in that order, with 20 meters between each. The departmental workflows are contained in the table below: Flow Matrix Dept. A Dept. B | Dept. C Dept. D Dept. A 0 30 50 20 Dept. B 5 0 40 20 Dept. C 0 10 0 40 Dept. D 10 25 0 0 i) What is the material handling total of assigning A-1, B-2, C-3, D-4? ii) What is the material handling total of assigning A-1, B-3, C-4, D-2? (2 marks) (3 marks) b) Lockport Marine Services, Inc. wishes to assign a set of jobs to a set of machines. The following table provides data on the cost of production of each job when performed on a specific machine. Job A Machine B | C | D 1 27 29 28 30 2 30 29 27 26 3 31 25 29 26 4 29 31 25 28 i) Determine the set of assignments that minimizes production cost. ii) What is the total production cost of your assignments? (3 marks) (2 marks) c) A Methods and Measurements Analyst needs to develop a time standard for a certain task. The task involves use of a ruler, square, and portable electric saw to mark and cut the mark in a rafter (a standard carpentry task of home construction). In a preliminary study, he observed one of his workers performing this task five times. Observation: 1 | 2 | 3 | 4 | 5 | 80 88 Task time (seconds): 82 74 i) What is the actual average time for this task? 76 5/6 source was downloaded by 100000861384942 from CourseHero.com on 02-02-2023 06:06:43 GMT-06:00 w.coursehero.com/file/79045382/BT21403-ONLINE-TEST-FINAL-EXAM-REPLACEMENT-SEM-1-2021pdf/ (1 marks) SULIT/CONFIDENTIAL ii) What is the normal time for this task if the employee worked at a 10% faster pace than is typical for adequately trained workers? (2 marks) iii) What is standard time for this task if allowances sum to 12%? (2 marks)