For the following problems, use the random numbers from the first column of the Random Number Table 14.3 in chapter 14 of your book. If you run out of the first column move to the second and continue. 1. Construct a simulation table with the arrival and service of 8 rolls of yarn through the Burlington Mills facility continuing the example from lecture. Use table 14.3 beginning with R=39 for each table. P(x) Arrival X (days) Cuml P(x) Range Ply) Range Cuml Ply) Service Interval y (day) 0.5 1 2 0.4 0.3 0.1 0.3 0.5 0.2 a. What is the average time in the system? b. What is the departure clock time for roll/customer 10? c. What is the average wait time? d. What is the max queue length? 30 62 38 2046 4.3 number 39 65 76 45 45 19 90 69 64 61 73 71 23 70 90 65 97 60 12 11 72 18 47 33 84 51 67 47 97 19 75 12 25 69 17 1795 21 78 58 37 17 79 88 74 63 52 06 34 30 02 48 08 16 94 85 53 83 29 95 87 89 15 70 07 37 79 49 12 38 98 18 71 70 15 89 09 39 59 24 10 83 58 07 04 7662 16 48 68 47 08 56 37 31 71 82 13 50 41 93 90 31 03 07 34 18 04 52 35 21 05 11 47 99 11 20 99 45 18 95 89 94 0697 27 37 83 28 71 97 18 31 55 73 10 65 81 92 59 69 08 88 86 13 59 71 74 17 32 41 26 10 25 038 7 63 93 95 17 91 47 14 63 62 08 61 74 51 69 80 94 54 18 47 08 52 85 08 40 67 06 77 63 99 89 85 84 46 06 59 72 24 13 75 42 29 72 23 19 63 62 06 34 41 79 53 36 02 95 78 47 23 53 90 79 93 96 38 63 87 68 62 15 43 97 48 72 66 48 47 60 92 1077 2697 05 73 51 56 88 87 59 41 06 87 37 78 48 22 17 68 65 84 87 02 22 57 51 19 36 27 59 46 39 77 32 77 09 16 77 23 02 77 28 06 24 25 93 78 43 76 71 61 97 67 63 99 61 03 28 28 26 08 69 30 16 09 05 04 31 17 21 56 33 73 99 19 87 61 06 98 0391 87 14 77 43 96 23 68 35 26 00 99 53 93 61 28 15 39 25 70 99 93 86 52 77 65 58 71 96 30 24 18 46 23 34 27 93 22 53 64 39 07 10 63 76 35 78 76 58 54 74 92 38 70 96 92 61 81 31 9682 00 57 25 60 59 4288 07 10 05 24 98 65 63 21 77 94 30 05 39 28 10 99 00 27 20 26 36 31 62 31 56 34 19 19 98 40 07 17 66 24 33 45 77 48 01 31 60 10 27 56 27 09 24 43 48 13 93 55 96 00 06 41 41 20 58 76 17 14 86 27 55 10 24 92 74 13 39 35 22 76 51 94 84 86 79 5795 13 91 77 31 61 95 46 48 38 75 93 29 81 83 83 04 49 92 79 43 89 79 48 40 35 94 22 64 71 06 21 66 06 94 76 10 08 94 61 09 43 62 34 85 52 05 09 53 16 71 13 81 88 46 38 03 58 65 88 69 58 39 68 69 80 95 44 79 57 92 36 59 22 45 44 84 11 30 45 67 93 82 53 58 47 70 93 26 72 39 27 67 43 00 65 98 50 52 70 05 48 34 15 33 59 05 28 85 13 99 24 44 87 03 04 79 88 52 06 79 79 45 46 72 60 18 77 47 21 61 88 32 12 73 73 99 12 58 24 97 149795 06 70 99 00 47 83 75 51 33 23 05 09 51 80 59 78 11 52 49 69 81 84 09 29 93 22 70 45 80 35 07 79 71 53 28 99 52 01 41 21 78 55 09 82 72 61 88 7361 41 92 45 71 51 09 18 25 58 94 14 36 59 25 47 54 45 17 24 89 59 53 11 52 21 66 04 18 72 87 28 04 67 53 44 95 23 00 84 47 68 95 23 92 35 36 63 70 3533 13 79 93 3755 98 16 04 41 67 09 61 87 25 21 56 20 11 32 44 20 44 90 32 64 26 99 76 75 63 73 37 32 04 05 60 82 29 20 25 77 45 85 50 51 79 88 01 97 30 29 18 94 51 23 1485 11 47 23 72 65 71 08 86 50 03 42 99 36 89 37 20 70 01 61 65 70 22 12 81 30 15 39 14 81 33 17 16 33 20 21 14 68 86 84 95 48 46 45 85 43 01 72 73 1493 87 81 40 59 97 50 99 52 24 62 20 42 31 72 68 49 29 31 7 5 70 16 08 24 88 02 84 27 83 85 81 56 39 38 11 29 01 95 80 49 34 35 36 47 89 74 39 82 15 08 58 94 34 74 87 80 61 65 31 09 71 91 74 25 59 73 19 85 23 5 3 33 65 97 21 66 56 45 65 79 4 5 56 20 19 47 53 77 57 68 93 60 61 97 2261 45 60 33 01 07 98 99 46 50 47 56 65 05 61 86 90 92 10 70 80 22 87 26 07 47 86 96 98 29 06 49 18 09 79 49 7 4 16 32 23 02 08 13 13 85 51 55 34 57 72 69 8263 18 27 44 55 66 12 62 11 08 99 55 64 57 27 80 30 21 60 1092 35 36 12 49 09 57 94 82 96 88 57 179 69 6692 1909 By repeating this process of selecting random numbers from Table 14.3 (starting an in the table and moving in any direction but not repeating the same sequence) and then ing weekly demand from the random number, we can simulate demand for a period of example, Table 14.4 shows demand for a period of 15 consecutive weeks. From Table 14.4 the manager can compute the estimated average weekly demanda Starting anywhere e) and then determin criod of time. For und and revenue estimated average demand = = 2.07 laptop PCs per week 15 estimated average revenue = = $133,300 15 = $8.886.67 For the following problems, use the random numbers from the first column of the Random Number Table 14.3 in chapter 14 of your book. If you run out of the first column move to the second and continue. 1. Construct a simulation table with the arrival and service of 8 rolls of yarn through the Burlington Mills facility continuing the example from lecture. Use table 14.3 beginning with R=39 for each table. P(x) Arrival X (days) Cuml P(x) Range Ply) Range Cuml Ply) Service Interval y (day) 0.5 1 2 0.4 0.3 0.1 0.3 0.5 0.2 a. What is the average time in the system? b. What is the departure clock time for roll/customer 10? c. What is the average wait time? d. What is the max queue length? 30 62 38 2046 4.3 number 39 65 76 45 45 19 90 69 64 61 73 71 23 70 90 65 97 60 12 11 72 18 47 33 84 51 67 47 97 19 75 12 25 69 17 1795 21 78 58 37 17 79 88 74 63 52 06 34 30 02 48 08 16 94 85 53 83 29 95 87 89 15 70 07 37 79 49 12 38 98 18 71 70 15 89 09 39 59 24 10 83 58 07 04 7662 16 48 68 47 08 56 37 31 71 82 13 50 41 93 90 31 03 07 34 18 04 52 35 21 05 11 47 99 11 20 99 45 18 95 89 94 0697 27 37 83 28 71 97 18 31 55 73 10 65 81 92 59 69 08 88 86 13 59 71 74 17 32 41 26 10 25 038 7 63 93 95 17 91 47 14 63 62 08 61 74 51 69 80 94 54 18 47 08 52 85 08 40 67 06 77 63 99 89 85 84 46 06 59 72 24 13 75 42 29 72 23 19 63 62 06 34 41 79 53 36 02 95 78 47 23 53 90 79 93 96 38 63 87 68 62 15 43 97 48 72 66 48 47 60 92 1077 2697 05 73 51 56 88 87 59 41 06 87 37 78 48 22 17 68 65 84 87 02 22 57 51 19 36 27 59 46 39 77 32 77 09 16 77 23 02 77 28 06 24 25 93 78 43 76 71 61 97 67 63 99 61 03 28 28 26 08 69 30 16 09 05 04 31 17 21 56 33 73 99 19 87 61 06 98 0391 87 14 77 43 96 23 68 35 26 00 99 53 93 61 28 15 39 25 70 99 93 86 52 77 65 58 71 96 30 24 18 46 23 34 27 93 22 53 64 39 07 10 63 76 35 78 76 58 54 74 92 38 70 96 92 61 81 31 9682 00 57 25 60 59 4288 07 10 05 24 98 65 63 21 77 94 30 05 39 28 10 99 00 27 20 26 36 31 62 31 56 34 19 19 98 40 07 17 66 24 33 45 77 48 01 31 60 10 27 56 27 09 24 43 48 13 93 55 96 00 06 41 41 20 58 76 17 14 86 27 55 10 24 92 74 13 39 35 22 76 51 94 84 86 79 5795 13 91 77 31 61 95 46 48 38 75 93 29 81 83 83 04 49 92 79 43 89 79 48 40 35 94 22 64 71 06 21 66 06 94 76 10 08 94 61 09 43 62 34 85 52 05 09 53 16 71 13 81 88 46 38 03 58 65 88 69 58 39 68 69 80 95 44 79 57 92 36 59 22 45 44 84 11 30 45 67 93 82 53 58 47 70 93 26 72 39 27 67 43 00 65 98 50 52 70 05 48 34 15 33 59 05 28 85 13 99 24 44 87 03 04 79 88 52 06 79 79 45 46 72 60 18 77 47 21 61 88 32 12 73 73 99 12 58 24 97 149795 06 70 99 00 47 83 75 51 33 23 05 09 51 80 59 78 11 52 49 69 81 84 09 29 93 22 70 45 80 35 07 79 71 53 28 99 52 01 41 21 78 55 09 82 72 61 88 7361 41 92 45 71 51 09 18 25 58 94 14 36 59 25 47 54 45 17 24 89 59 53 11 52 21 66 04 18 72 87 28 04 67 53 44 95 23 00 84 47 68 95 23 92 35 36 63 70 3533 13 79 93 3755 98 16 04 41 67 09 61 87 25 21 56 20 11 32 44 20 44 90 32 64 26 99 76 75 63 73 37 32 04 05 60 82 29 20 25 77 45 85 50 51 79 88 01 97 30 29 18 94 51 23 1485 11 47 23 72 65 71 08 86 50 03 42 99 36 89 37 20 70 01 61 65 70 22 12 81 30 15 39 14 81 33 17 16 33 20 21 14 68 86 84 95 48 46 45 85 43 01 72 73 1493 87 81 40 59 97 50 99 52 24 62 20 42 31 72 68 49 29 31 7 5 70 16 08 24 88 02 84 27 83 85 81 56 39 38 11 29 01 95 80 49 34 35 36 47 89 74 39 82 15 08 58 94 34 74 87 80 61 65 31 09 71 91 74 25 59 73 19 85 23 5 3 33 65 97 21 66 56 45 65 79 4 5 56 20 19 47 53 77 57 68 93 60 61 97 2261 45 60 33 01 07 98 99 46 50 47 56 65 05 61 86 90 92 10 70 80 22 87 26 07 47 86 96 98 29 06 49 18 09 79 49 7 4 16 32 23 02 08 13 13 85 51 55 34 57 72 69 8263 18 27 44 55 66 12 62 11 08 99 55 64 57 27 80 30 21 60 1092 35 36 12 49 09 57 94 82 96 88 57 179 69 6692 1909 By repeating this process of selecting random numbers from Table 14.3 (starting an in the table and moving in any direction but not repeating the same sequence) and then ing weekly demand from the random number, we can simulate demand for a period of example, Table 14.4 shows demand for a period of 15 consecutive weeks. From Table 14.4 the manager can compute the estimated average weekly demanda Starting anywhere e) and then determin criod of time. For und and revenue estimated average demand = = 2.07 laptop PCs per week 15 estimated average revenue = = $133,300 15 = $8.886.67