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Your Name: Question 1 The following table lists the components needed to assemble an end item, lead times, and quantities on hand. If 20 units of the end item are to be assembled, how many additional units of E are needed? 138 (Refer to Chapter 12, bill of materials) Your Name: Question 2 A manager wants to assign tasks to workstations as efficiently as possible and achieve an hourly output of four units. The department uses a working time of 56 minutes per hour. Assign the tasks shown in the accompanying precedence diagram (times are in minutes) to workstations using the following rules: a. In order of most following tasks. Tiebreaker: greatest positional weight. b. In order of greatest positional weight. Tie breaker: most following tasks. c. What is the efficiency? Desired cycle time = operating time per day/desired output rate Number of stations = total work time / cycle time Balance Delay = idle time per cycle/N*cycle time*100% Efficiency = 1-balance delay Task A B C D E F G H I time 3 2 4 7 4 5 6 9 5 following tasks 4 3 2 3 2 4 3 1 0 positional weight 23 20 18 25 18 29 24 14 5 a. Work Station 1 2 3 4 Time remaining 14 9 14 7 14 12 8 14 Eligible A,F A B,D,G B,G B C,E E H,I Assign task F A D G B C E H Time left 9 6 7 1 12 8 4 5 Your Name: 5 I I 0 Time remaining 14 9 14 8 5 14 10 14 5 Eligible F D G A B C,E E H I Assign task F D G A 2 C E H I Time left 9 2 8 5 3 10 6 5 0 b. Work Station 1 2 3 4 Bold numbers are idle times. c. Balance delay = 11/56 Efficiency = 1 – balance delay = 45/56 Your Name: Question 3 Arrange the eight departments shown in the accompanying Muther grid into a 2 × 4 format. Note: Department 1 must be in the location shown. Step 1. A links and X links A X 1-3 1-6 1-7 2-6 2-3 3-6 2-4 3-7 2-7 3-8 3-5 5-6 4-7 4-8 6-8 7-8 Step 2. Draw Cluster A link cluster: Your Name: X link cluster: Step 3. Fit in to the layout (trial-and-error) 5 3 1 2 7 4 8 6