please find MTT for A,B,&C

2. If the batch size were reduced to 10 pairs, what would be the daily capacity (in batches and in pairs of shoes), the batch cycle time, and the average manufacturing throughput time per batch (in minutes) within each of the following departments? A. Cutting Capacity = 18.18 batches/day or 181.82 pairs/day Batch Cycle Time = 26.40 min/batch MTT = B. Stitching Capacity = 32 batches/day or 320 pairs/day Batch Cycle Time = 15.00 min/batch MTT = C. Lasting Capacity = 34.29 batches/day or 342.86 pairs/day Batch Cycle Time = 14 min/batch MTT = Time Available Daily (Min.) 480.00 Kitting Department Cutting Department Setup Time (Min.) Process Time/Piece (Min.) 16 .00 0.06 5.75 15.25 0.07 0.08 Stitching Department Number of Workers Process Time/Pair (Min. 2 3.00 4 4.20 6 5.30 Process Time/Pair (Min.) 10.10 Batch Size Kitting Cycle Time Operating at Capacity (Min/batch) 0.50 1.00 27.60 1.50 Ornamenting Cycle Time Operating at Capacity (Min/batch) 4.42 8.83 13.25 17.67 22.08 26.50 2.00 Machine 2 Cycle Time Operating at Capacity (Min/batch) 24.40 25.80 27.20 28.60 30.00 31.40 32.80 34.20 35.60 37.00 38.40 39.80 41.20 42.60 44.00 Machine 3 Cycle Time Operating at Capacity (Min/batch) 22.60 24.20 25.80 27.40 29.00 30.60 32.20 33.80 35.40 37.00 38.60 40.20 41.80 Machine 1 Cycle Time Operating at Capacity (Min/batch) 25.20 26.40 27.60 28.80 30.00 31.20 32.40 33.60 34.80 36.00 37.20 38.40 39.60 40.80 42.00 43.20 44.40 45.60 46.80 48.00 26.25 Kitting Capacity (Batches/day) 960.00 480.00 320.00 240.00 192.00 160.00 137.14 120.00 106.67 96.00 87.27 80.00 31.40 Cutting Dept. Cycle Time Operating at Cutting Dept. Cutting Dept. Capacity Capacity Capacity (Min/batch) (Batches/day) (Pairs/day) 25.20 19.05 95.24 26.40 18.18 181.82 17.39 260.87 28.80 16.67 333.33 30.00 16.00 400.00 15.29 458.60 32.80 14.63 512.20 34.20 14.04 561.40 35.60 13.48 606.74 37.00 12.97 648.65 38.60 12.44 683.94 40.20 11.94 716.42 41.80 11.48 746.41 43.40 11.06 774.19 45.00 10.67 800.00 46.60 10.30 824.03 48.20 846.47 49.80 9.64 867.47 51.40 9.34 887.16 53.00 9.06 905.66 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 6.50 30.92 35.33 Prefit Joining Cycle Time Cycle Time Operating at Operating at Capacity Capacity (Min/batch) (Min/batch) 7.50 5.25 15.00 10.50 22.50 15.75 30.00 21.00 37.50 45.00 31.50 52.50 36.75 60.00 42.00 67.50 47.25 75.00 52.50 82.50 57.75 90.00 63.00 97.50 68.25 105.00 73.50 112.50 78.75 120.00 84.00 127.50 89.25 135.00 94.50 142.50 99.75 150.00 105.00 Kitting Capacity (Pairs/day) 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 Stitching Dept. Cycle Time Operating at Capacity (Min/batch) 7.50 15.00 22.50 30.00 37.50 45.00 52.50 60.00 67.50 75.00 82.50 90.00 97.50 105.00 112.50 120.00 127.50 135.00 142.50 150.00 39.75 44.17 Stitching Dept. Stitching Dept. Capacity Capacity (Batches/day) (Pairs/day) 64.00 320.00 32.00 320.00 21.33 320.00 16.00 320.00 12.80 320.00 10.67 320.00 9.14 320.00 8.00 320.00 320.00 320.00 5.82 320.00 320.00 4.92 320.00 320.00 4.27 320.00 4.00 320.00 3.76 320.00 3.56 320.00 3.37 320.00 3.20 320.00 7.11 6.40 48.58 53.00 5.33 73.85 43.40 7.00 4.57 45.40 46.80 9.96 45.00 46.60 48.20 49.80 51.40 53.00 7.50 8.00 8.50 9.00 9.50 10.00 57.42 61.83 66.25 70.67 75.08 79.50 83.92 88.33 68.57 64.00 60.00 56.47 53.33 50.53 48.00 48.20 49.60 51.00 Lasting Department Average WIP Calculations Station 1 0.80 0.80 Station 2 1.00 Station 3 0.75 Station 4 0.90 Station 5 0.80 Process Time/Pair (Min.) Assumes all WIP leaves the department when the process is done Average Average Kitting Dept. WIP (Batches) 0.07 0.07 0.07 Total Average WIP in all Departments (Batches) 76.63 50.76 42.14 Average Steaming Dept. WIP (Batches) 48.00 24.00 16.00 12.00 9.60 8.00 6.86 Dept. WIP (Batches) 1.20 0.93 0.84 0.80 Average Cutting Dept. WIP (Batches) 3.36 1.76 1.23 0.96 0.80 0.70 0.62 0.57 0.53 0.49 Average Stitching Dept. WIP (Batches) 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 0.07 37.83 0.07 0.07 0.07 0.77 0.76 Lasting Dept. Cycle Time Operating at Capacity (Min/batch) 9.00 14.00 19.00 24.00 29.00 34.00 39.00 44.00 49.00 54.00 59.00 64.00 69.00 74.00 79.00 84.00 89.00 94.00 99.00 104.00 35.24 33.52 32.29 Factory Cycle Time Operating at Factory Factory Capacity Capacity Capacity (Min/batch) (Batches/day) (pairs/day) 7.50 64.00 320.00 15.00 32.00 320.00 22.50 21.33 320.00 30.00 16.00 320.00 37.50 12.80 320.00 45.00 10.67 320.00 52.50 9.14 320.00 60.00 8.00 320.00 67.50 7.11 320.00 75.00 6.40 320.00 82.50 5.82 320.00 90.00 5.33 320.00 97.50 4.92 320.00 105.00 4.57 320.00 112.50 320.00 120.00 320.00 127.50 320.00 135.00 3.56 320.00 142.50 3.37 320.00 150.00 3.20 320.00 Lasting Dept. Lasting Dept. Capacity Capacity (Batches/day) (Pairs/day) 53.33 266.67 34.29 342.86 25.26 378.95 20.00 400.00 16.55 413.79 14.12 423.53 12.31 430.77 10.91 436.36 9.80 440.82 444.44 8.14 447.46 450.00 6.96 452.17 6.49 454.05 6.08 455.70 5.71 457.14 5.39 458.43 5.11 459.57 4.85 460.61 4.62 461.54 0.07 6.00 0.74 0.73 0.73 0.72 Total WIP Between Departments (Batches) 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 8.89 0.47 Average Batch Throughput Time 709.70 1,031.40 1,353.10 1,674.80 1,996.50 2,318.40 2,640.30 2,962.20 3,284.10 3,606.00 3,928.10 4,250.20 4,572.30 4,894.40 5,216.50 5,538.60 5,860.70 6,182.80 6,504.90 6,827.00 24.00 0.72 7.50 31.37 30.65 30.08 29.61 29.22 28.90 28.61 28.37 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.45 0.43 0.41 0.40 0.39 0.38 0.71 5.33 4.80 4.36 4.00 3.69 3.43 3.20 3.00 2.82 2.67 2.53 2.40 4.27 0.07 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 4.00 3.76 28.16 0.71 0.70 0.70 0.70 0.70 0.70 0.69 0.69 0.37 0.07 0.07 0.07 0.07 27.97 27.80 27.65 27.51 0.36 0.35 2. If the batch size were reduced to 10 pairs, what would be the daily capacity (in batches and in pairs of shoes), the batch cycle time, and the average manufacturing throughput time per batch (in minutes) within each of the following departments? A. Cutting Capacity = 18.18 batches/day or 181.82 pairs/day Batch Cycle Time = 26.40 min/batch MTT = B. Stitching Capacity = 32 batches/day or 320 pairs/day Batch Cycle Time = 15.00 min/batch MTT = C. Lasting Capacity = 34.29 batches/day or 342.86 pairs/day Batch Cycle Time = 14 min/batch MTT = Time Available Daily (Min.) 480.00 Kitting Department Cutting Department Setup Time (Min.) Process Time/Piece (Min.) 16 .00 0.06 5.75 15.25 0.07 0.08 Stitching Department Number of Workers Process Time/Pair (Min. 2 3.00 4 4.20 6 5.30 Process Time/Pair (Min.) 10.10 Batch Size Kitting Cycle Time Operating at Capacity (Min/batch) 0.50 1.00 27.60 1.50 Ornamenting Cycle Time Operating at Capacity (Min/batch) 4.42 8.83 13.25 17.67 22.08 26.50 2.00 Machine 2 Cycle Time Operating at Capacity (Min/batch) 24.40 25.80 27.20 28.60 30.00 31.40 32.80 34.20 35.60 37.00 38.40 39.80 41.20 42.60 44.00 Machine 3 Cycle Time Operating at Capacity (Min/batch) 22.60 24.20 25.80 27.40 29.00 30.60 32.20 33.80 35.40 37.00 38.60 40.20 41.80 Machine 1 Cycle Time Operating at Capacity (Min/batch) 25.20 26.40 27.60 28.80 30.00 31.20 32.40 33.60 34.80 36.00 37.20 38.40 39.60 40.80 42.00 43.20 44.40 45.60 46.80 48.00 26.25 Kitting Capacity (Batches/day) 960.00 480.00 320.00 240.00 192.00 160.00 137.14 120.00 106.67 96.00 87.27 80.00 31.40 Cutting Dept. Cycle Time Operating at Cutting Dept. Cutting Dept. Capacity Capacity Capacity (Min/batch) (Batches/day) (Pairs/day) 25.20 19.05 95.24 26.40 18.18 181.82 17.39 260.87 28.80 16.67 333.33 30.00 16.00 400.00 15.29 458.60 32.80 14.63 512.20 34.20 14.04 561.40 35.60 13.48 606.74 37.00 12.97 648.65 38.60 12.44 683.94 40.20 11.94 716.42 41.80 11.48 746.41 43.40 11.06 774.19 45.00 10.67 800.00 46.60 10.30 824.03 48.20 846.47 49.80 9.64 867.47 51.40 9.34 887.16 53.00 9.06 905.66 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 6.50 30.92 35.33 Prefit Joining Cycle Time Cycle Time Operating at Operating at Capacity Capacity (Min/batch) (Min/batch) 7.50 5.25 15.00 10.50 22.50 15.75 30.00 21.00 37.50 45.00 31.50 52.50 36.75 60.00 42.00 67.50 47.25 75.00 52.50 82.50 57.75 90.00 63.00 97.50 68.25 105.00 73.50 112.50 78.75 120.00 84.00 127.50 89.25 135.00 94.50 142.50 99.75 150.00 105.00 Kitting Capacity (Pairs/day) 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 4,800.00 Stitching Dept. Cycle Time Operating at Capacity (Min/batch) 7.50 15.00 22.50 30.00 37.50 45.00 52.50 60.00 67.50 75.00 82.50 90.00 97.50 105.00 112.50 120.00 127.50 135.00 142.50 150.00 39.75 44.17 Stitching Dept. Stitching Dept. Capacity Capacity (Batches/day) (Pairs/day) 64.00 320.00 32.00 320.00 21.33 320.00 16.00 320.00 12.80 320.00 10.67 320.00 9.14 320.00 8.00 320.00 320.00 320.00 5.82 320.00 320.00 4.92 320.00 320.00 4.27 320.00 4.00 320.00 3.76 320.00 3.56 320.00 3.37 320.00 3.20 320.00 7.11 6.40 48.58 53.00 5.33 73.85 43.40 7.00 4.57 45.40 46.80 9.96 45.00 46.60 48.20 49.80 51.40 53.00 7.50 8.00 8.50 9.00 9.50 10.00 57.42 61.83 66.25 70.67 75.08 79.50 83.92 88.33 68.57 64.00 60.00 56.47 53.33 50.53 48.00 48.20 49.60 51.00 Lasting Department Average WIP Calculations Station 1 0.80 0.80 Station 2 1.00 Station 3 0.75 Station 4 0.90 Station 5 0.80 Process Time/Pair (Min.) Assumes all WIP leaves the department when the process is done Average Average Kitting Dept. WIP (Batches) 0.07 0.07 0.07 Total Average WIP in all Departments (Batches) 76.63 50.76 42.14 Average Steaming Dept. WIP (Batches) 48.00 24.00 16.00 12.00 9.60 8.00 6.86 Dept. WIP (Batches) 1.20 0.93 0.84 0.80 Average Cutting Dept. WIP (Batches) 3.36 1.76 1.23 0.96 0.80 0.70 0.62 0.57 0.53 0.49 Average Stitching Dept. WIP (Batches) 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 0.07 37.83 0.07 0.07 0.07 0.77 0.76 Lasting Dept. Cycle Time Operating at Capacity (Min/batch) 9.00 14.00 19.00 24.00 29.00 34.00 39.00 44.00 49.00 54.00 59.00 64.00 69.00 74.00 79.00 84.00 89.00 94.00 99.00 104.00 35.24 33.52 32.29 Factory Cycle Time Operating at Factory Factory Capacity Capacity Capacity (Min/batch) (Batches/day) (pairs/day) 7.50 64.00 320.00 15.00 32.00 320.00 22.50 21.33 320.00 30.00 16.00 320.00 37.50 12.80 320.00 45.00 10.67 320.00 52.50 9.14 320.00 60.00 8.00 320.00 67.50 7.11 320.00 75.00 6.40 320.00 82.50 5.82 320.00 90.00 5.33 320.00 97.50 4.92 320.00 105.00 4.57 320.00 112.50 320.00 120.00 320.00 127.50 320.00 135.00 3.56 320.00 142.50 3.37 320.00 150.00 3.20 320.00 Lasting Dept. Lasting Dept. Capacity Capacity (Batches/day) (Pairs/day) 53.33 266.67 34.29 342.86 25.26 378.95 20.00 400.00 16.55 413.79 14.12 423.53 12.31 430.77 10.91 436.36 9.80 440.82 444.44 8.14 447.46 450.00 6.96 452.17 6.49 454.05 6.08 455.70 5.71 457.14 5.39 458.43 5.11 459.57 4.85 460.61 4.62 461.54 0.07 6.00 0.74 0.73 0.73 0.72 Total WIP Between Departments (Batches) 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 8.89 0.47 Average Batch Throughput Time 709.70 1,031.40 1,353.10 1,674.80 1,996.50 2,318.40 2,640.30 2,962.20 3,284.10 3,606.00 3,928.10 4,250.20 4,572.30 4,894.40 5,216.50 5,538.60 5,860.70 6,182.80 6,504.90 6,827.00 24.00 0.72 7.50 31.37 30.65 30.08 29.61 29.22 28.90 28.61 28.37 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.45 0.43 0.41 0.40 0.39 0.38 0.71 5.33 4.80 4.36 4.00 3.69 3.43 3.20 3.00 2.82 2.67 2.53 2.40 4.27 0.07 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 4.00 3.76 28.16 0.71 0.70 0.70 0.70 0.70 0.70 0.69 0.69 0.37 0.07 0.07 0.07 0.07 27.97 27.80 27.65 27.51 0.36 0.35