Question: Tax Preparation System Problem (use for first 4 questions) GSB student representatives are organizing a tax preparation system. They expect to receive 100 students, coming

Tax Preparation System Problem (use for first 4

Tax Preparation System Problem (use for first 4 questions) GSB student representatives are organizing a tax preparation system. They expect to receive 100 students, coming to the system within 4 hours at a constant rate. The process consists of a check-in station, where there is a single server that takes 2 minutes to decide whether the student has all the information needed to fill out the forms or not. From previous experience, they know that 80% will be OK, and then, they will go to one of the analysts to complete the tax forms. The other 20% will need to gather the extra info, a process that they do by themselves, and that will take exactly 1 hour. After that hour, they will join the queue for the analysts. There are 5 analysts and each takes 15 minutes to serve a student Standard Loss Function Table z F(z) L(z) zl F(z) L(2) -4.0 0.0000 4.0000 0.0 0.5000 0.3989 -3.9 0.0000 3.9000 0.1 0.5398 0.3509 -3.8 0.0001 3.8000 0.2 0.5793 0.3069 -3.7 0.0001 3.7000 0.3 0.61790.2668 -3.6 0.0002 3.6000 0.4 0.6554 0.2304 -3.5 0.0002 3.5001 0.5 0.69150.1978 -3.4 0.0003 3.4001 0.6 0.7257 0.1687 -3.3 0.0005 3.3001 0.7 0.75800.1429 -3.2 0.0007 3.2002 0.8 0.7881 0.1202 -3.1 0.0010 3.1003 0.9 0.81590.1004 -3.0 0.00133.0004 1.0 0.84130.0833 -2.9 0.0019 2.9005 1.1 0.8643 0.0686 -2.8 0.0026 2.8008 1.2 0.8849 0.0561 -2.7 0.0035 2.7011 1.3 0.9032 0.0455 -2.6 0.0047 2.6015 1.4 0.9192 0.0367 -2.5 0.0062 2.5020 1.5 0.9332 0.0293 -2.4 0.00822.4027 1.6 0.9452 0.0232 -2.3 0.0107 2.3037 1.70.9554 0.0183 -2.2 0.0139 2.2049 1.8 0.9641 0.0143 -2.1 0.0179 2.1065 1.9 0.9713 0.0111 -2.0 0.0228 2.0085 2.0 0.9772 0.0085 -1.90.0287 1.9111 2.1 0.9821 0.0065 -1.8 0.0359 1.8143 2.2 0.9861 0.0049 -1.7 0.0446 1.7183 2.3 0.9893 0.0037 -1.6 0.0548 1.6232 2.4 0.9918 0.0027 -1.5 0.0668 1.5293 2.5 0.9938 0.0020 -1.4 0.0808 1.4367 2.6 0.9953 0.0015 - 1.3 0.0968 1.3455 2.7 0.9965 0.0011 -1.2 0.1151 1.2561 2.8 0.9974 0.0008 -1.1 0.1357 1.1686 2.9 0.9981 0.0005 - 1.0 0.1587 1.0833 3.0 0.9987 0.0004 -0.9 0.1841 1.0004 0.9990 0.0003 -0.8 0.2119 0.9202 3.2 0.9993 0.0002 -0.7 0.2420 0.8429 3.3 0.9995 0.0001 -0.6 0.27430.7687 3.4 0.9997 0.0001 -0.5 0.3085 0.6978 3.5 0.9998 0.0001 -0.4 0.3446 0.6304 3.6 0.9998 0.0000 -0.3 0.3821 0.5668 3.7 0.9999 0.0000 -0.2 0.4207 0.5069 3.8 0.9999 0.0000 -0.1 0.4602 0.4509 3.9 1.0000 0.0000 0.0 0.5000 0.3989 4.0 1.0000 0.0000 3.1 M/M/s Lq Table 8 0.00 #Servers (8) Utilization (p) 1 2 3 4 5 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.08 0.01 0.00 0.00 0.00 0.00 0.10 0.01 0.00 0.00 0.00 0.00 6 7 8 9 10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 11 12 13 14 15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.02 0.00 0.00 0.00 0.00 0.14 0.02 0.01 0.00 0.00 0.00 0.16 0.03 0.01 0.00 0.00 0.00 0.18 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.05 0.02 0.01 0.00 0.00 0.22 0.06 0.02 0.01 0.00 0.00 0.24 0.08 0.03 0.01 0.01 0.00 0.26! 0.09 0.04 0.02 0.01 0.00 0.28 0.11 0.05 0.02 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.30 0.13 0.08 0.03 0.02 0.01 0.32 0.15 0.07 0.04 0.02 0.01 0.34 0.18 0.09 0.05 0.03 0.02 0.36 0.20 0.11 0.06 0.04 0.02 0.38 0.23 0.13 0.08 0.05 0.03 0.40 0.27 0.15 0.09 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.01 0.01 0.00 0.00 0.00 0.01 0.01 0.01 0.00 0.00 0.02 0.01 0.01 0.01 0.00 0.03 0.02 0.01 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.42 0.30 0.18 0.11 0.08 0.05 0.44 0.35 0.21 0.14 0.09 0.07 0.46 0.39 0.25 0.17 0.12 0.08 0.48 0.44 0.29 0.20 0.14 0.10 0.04 0.02 0.02 0.01 0.01 0.05 0.03 0.02 0.02 0.01 0.06 0.04 0.03 0.02 0.02 0.08 0.08 0.04 0.03 0.03 0.01 0.00 0.00 0.00 0.00 0.01 0.01 0.01 0.00 0.00 0.01 0.01 0.01 0.01 0.00 0.02 0.02 0.01 0.01 0.01 0.60 0.50 0.33 0.24 0.17 0.13 0.52 0.56 0.39 0.28 0.21 0.16 0.54 0.63 0.44 0.33 0.25 0.20 0.56 0.71 0.51 0.39 0.30 0.24 0.58 0.80 0.59 0.46 0.36 0.29 0.10 0.08 0.06 0.05 0.04 0.13 0.10 0.08 0.06 0.05 0.16 0.12 0.10 0.08 0.07 0.19 0.16 0.13 0.11 0.09 0.24 0.20 0.17 0.14 0.12 0.03 0.02 0.02 0.01 0.01 0.04 0.03 0.03 0.02 0.02 0.05 0.04 0.04 0.03 0.03 0.07 0.06 0.05 0.04 0.04 0.10 0.08 0.07 0.06 0.05 0.60 0.90 0.68 0.53 0.43 0.35 0.62 1.01 0.77 0.62 0.51 0.43 0.64 1.14 0.89 0.72 0.61 0.51 0.66 1.28 1.02 0.84 0.72 0.62 0.681 1.45 1.17 0.98 0.85 0.74 0.29 0.25 0.21 0.18 0.15 0.38 0.31 0.28 0.23 0.20 0.44 0.38 0.33 0.29 0.25 0.53 0.47 0.41 0.36 0.32 0.65 0.57 0.51 0.46 0.41 0.13 0.11 0.10 0.08 0.07 0.17 0.15 0.13 0.11 0.10 0.22 0.20 0.17 0.15 0.14 0.29 0.26 0.23 0.21 0.18 0.37 0.33 0.30 0.27 0.25 0.701 1.63 1.35 1.15 1.00 0.88 0.72 1.85 1.55 1.34 1.18 1.08 0.74 2.11 1.79 1.57 1.40 1.26 0.76 2.41 2.08 1.85 1.67 1.52 0.78 2.77 2.42 2.18 1.99 1.83 0.78 0.70 0.63 0.57 0.52 0.95 0.88 0.78 0.71 0.65 1.15 1.05 0.96 0.89 0.82 1.39 1.29 1.19 1.11 1.03 1.70 1.58 1.47 1.38 1.30 0.47 0.43 0.39 0.36 0.33 0.60 0.55 0.51 0.47 0.43 0.76 0.71 0.66 0.61 0.57 0.96 0.90 0.85 0.80 0.75 1.22 1.15 1.09 1.03 0.98 0.80 3.20 2.84 2.59 2.39 2.22 0.82 3.74 3.37 3.10 2.88 2.70 0.84 4.41 4.03 3.75 3.52 3.33 0.86 5.28 4.89 4.59 4.35 4.15 0.88 6.45 6.04 5.73 5.48 5.27 2.07 1.94 1.83 1.73 1.84 2.55 2.41 2.29 2.18 2.07 3.16 3.01 2.88 2.76 2.65 3.97 3.81 3.67 3.54 3.42 5.08 4.91 4.75 4.61 4.48 1.55 1.48 1.40 1.34 1.28 1.98 1.90 1.82 1.74 1,67 2.55 2.45 2.36 2.28 2.20 3.30 3.20 3.10 3.01 2.92 4.36 4.24 4.14 4.03 3.94 0.90 8.10 7.67 7.35 7.09 6.86 0.92 10.58 10.14 9.81 9.53 9.29 0.94 14.73 14.27 13.92 13.63 13.38 0.96 23.04 22.57 22.21 21.91 21.64 0.98 48.02 47.53 47.16 46.84 46.57 6.66 6.48 6.31 6.16 6.02 9.08 8.88 8.71 8.54 8.39 13.16 12.95 12.76 12.59 12.42 21.40 21.18 20.98 20.79 20.62 46.31 46.08 45.87 45.67 45.48 5.89 5.76 5.64 5.53 5.42 8.24 8.11 7.98 7.88 7.74 12.26 12.12 11.98 11.84 11.72 20.45 20.29 20.14 19.99 19.85 45.30 45.13 44.97 44.81 44.66 D Question 4 6 pts Using the information provided in the Tax Preparation System Problem, answer the following: what is the minimum time we can spend in the whole process? Please type your answer in bold. Edit View Insert Format Tools Table 12pt Paragraph BIVALT Tax Preparation System Problem (use for first 4 questions) GSB student representatives are organizing a tax preparation system. They expect to receive 100 students, coming to the system within 4 hours at a constant rate. The process consists of a check-in station, where there is a single server that takes 2 minutes to decide whether the student has all the information needed to fill out the forms or not. From previous experience, they know that 80% will be OK, and then, they will go to one of the analysts to complete the tax forms. The other 20% will need to gather the extra info, a process that they do by themselves, and that will take exactly 1 hour. After that hour, they will join the queue for the analysts. There are 5 analysts and each takes 15 minutes to serve a student Standard Loss Function Table z F(z) L(z) zl F(z) L(2) -4.0 0.0000 4.0000 0.0 0.5000 0.3989 -3.9 0.0000 3.9000 0.1 0.5398 0.3509 -3.8 0.0001 3.8000 0.2 0.5793 0.3069 -3.7 0.0001 3.7000 0.3 0.61790.2668 -3.6 0.0002 3.6000 0.4 0.6554 0.2304 -3.5 0.0002 3.5001 0.5 0.69150.1978 -3.4 0.0003 3.4001 0.6 0.7257 0.1687 -3.3 0.0005 3.3001 0.7 0.75800.1429 -3.2 0.0007 3.2002 0.8 0.7881 0.1202 -3.1 0.0010 3.1003 0.9 0.81590.1004 -3.0 0.00133.0004 1.0 0.84130.0833 -2.9 0.0019 2.9005 1.1 0.8643 0.0686 -2.8 0.0026 2.8008 1.2 0.8849 0.0561 -2.7 0.0035 2.7011 1.3 0.9032 0.0455 -2.6 0.0047 2.6015 1.4 0.9192 0.0367 -2.5 0.0062 2.5020 1.5 0.9332 0.0293 -2.4 0.00822.4027 1.6 0.9452 0.0232 -2.3 0.0107 2.3037 1.70.9554 0.0183 -2.2 0.0139 2.2049 1.8 0.9641 0.0143 -2.1 0.0179 2.1065 1.9 0.9713 0.0111 -2.0 0.0228 2.0085 2.0 0.9772 0.0085 -1.90.0287 1.9111 2.1 0.9821 0.0065 -1.8 0.0359 1.8143 2.2 0.9861 0.0049 -1.7 0.0446 1.7183 2.3 0.9893 0.0037 -1.6 0.0548 1.6232 2.4 0.9918 0.0027 -1.5 0.0668 1.5293 2.5 0.9938 0.0020 -1.4 0.0808 1.4367 2.6 0.9953 0.0015 - 1.3 0.0968 1.3455 2.7 0.9965 0.0011 -1.2 0.1151 1.2561 2.8 0.9974 0.0008 -1.1 0.1357 1.1686 2.9 0.9981 0.0005 - 1.0 0.1587 1.0833 3.0 0.9987 0.0004 -0.9 0.1841 1.0004 0.9990 0.0003 -0.8 0.2119 0.9202 3.2 0.9993 0.0002 -0.7 0.2420 0.8429 3.3 0.9995 0.0001 -0.6 0.27430.7687 3.4 0.9997 0.0001 -0.5 0.3085 0.6978 3.5 0.9998 0.0001 -0.4 0.3446 0.6304 3.6 0.9998 0.0000 -0.3 0.3821 0.5668 3.7 0.9999 0.0000 -0.2 0.4207 0.5069 3.8 0.9999 0.0000 -0.1 0.4602 0.4509 3.9 1.0000 0.0000 0.0 0.5000 0.3989 4.0 1.0000 0.0000 3.1 M/M/s Lq Table 8 0.00 #Servers (8) Utilization (p) 1 2 3 4 5 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.08 0.01 0.00 0.00 0.00 0.00 0.10 0.01 0.00 0.00 0.00 0.00 6 7 8 9 10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 11 12 13 14 15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.02 0.00 0.00 0.00 0.00 0.14 0.02 0.01 0.00 0.00 0.00 0.16 0.03 0.01 0.00 0.00 0.00 0.18 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.05 0.02 0.01 0.00 0.00 0.22 0.06 0.02 0.01 0.00 0.00 0.24 0.08 0.03 0.01 0.01 0.00 0.26! 0.09 0.04 0.02 0.01 0.00 0.28 0.11 0.05 0.02 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.30 0.13 0.08 0.03 0.02 0.01 0.32 0.15 0.07 0.04 0.02 0.01 0.34 0.18 0.09 0.05 0.03 0.02 0.36 0.20 0.11 0.06 0.04 0.02 0.38 0.23 0.13 0.08 0.05 0.03 0.40 0.27 0.15 0.09 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.01 0.01 0.00 0.00 0.00 0.01 0.01 0.01 0.00 0.00 0.02 0.01 0.01 0.01 0.00 0.03 0.02 0.01 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.42 0.30 0.18 0.11 0.08 0.05 0.44 0.35 0.21 0.14 0.09 0.07 0.46 0.39 0.25 0.17 0.12 0.08 0.48 0.44 0.29 0.20 0.14 0.10 0.04 0.02 0.02 0.01 0.01 0.05 0.03 0.02 0.02 0.01 0.06 0.04 0.03 0.02 0.02 0.08 0.08 0.04 0.03 0.03 0.01 0.00 0.00 0.00 0.00 0.01 0.01 0.01 0.00 0.00 0.01 0.01 0.01 0.01 0.00 0.02 0.02 0.01 0.01 0.01 0.60 0.50 0.33 0.24 0.17 0.13 0.52 0.56 0.39 0.28 0.21 0.16 0.54 0.63 0.44 0.33 0.25 0.20 0.56 0.71 0.51 0.39 0.30 0.24 0.58 0.80 0.59 0.46 0.36 0.29 0.10 0.08 0.06 0.05 0.04 0.13 0.10 0.08 0.06 0.05 0.16 0.12 0.10 0.08 0.07 0.19 0.16 0.13 0.11 0.09 0.24 0.20 0.17 0.14 0.12 0.03 0.02 0.02 0.01 0.01 0.04 0.03 0.03 0.02 0.02 0.05 0.04 0.04 0.03 0.03 0.07 0.06 0.05 0.04 0.04 0.10 0.08 0.07 0.06 0.05 0.60 0.90 0.68 0.53 0.43 0.35 0.62 1.01 0.77 0.62 0.51 0.43 0.64 1.14 0.89 0.72 0.61 0.51 0.66 1.28 1.02 0.84 0.72 0.62 0.681 1.45 1.17 0.98 0.85 0.74 0.29 0.25 0.21 0.18 0.15 0.38 0.31 0.28 0.23 0.20 0.44 0.38 0.33 0.29 0.25 0.53 0.47 0.41 0.36 0.32 0.65 0.57 0.51 0.46 0.41 0.13 0.11 0.10 0.08 0.07 0.17 0.15 0.13 0.11 0.10 0.22 0.20 0.17 0.15 0.14 0.29 0.26 0.23 0.21 0.18 0.37 0.33 0.30 0.27 0.25 0.701 1.63 1.35 1.15 1.00 0.88 0.72 1.85 1.55 1.34 1.18 1.08 0.74 2.11 1.79 1.57 1.40 1.26 0.76 2.41 2.08 1.85 1.67 1.52 0.78 2.77 2.42 2.18 1.99 1.83 0.78 0.70 0.63 0.57 0.52 0.95 0.88 0.78 0.71 0.65 1.15 1.05 0.96 0.89 0.82 1.39 1.29 1.19 1.11 1.03 1.70 1.58 1.47 1.38 1.30 0.47 0.43 0.39 0.36 0.33 0.60 0.55 0.51 0.47 0.43 0.76 0.71 0.66 0.61 0.57 0.96 0.90 0.85 0.80 0.75 1.22 1.15 1.09 1.03 0.98 0.80 3.20 2.84 2.59 2.39 2.22 0.82 3.74 3.37 3.10 2.88 2.70 0.84 4.41 4.03 3.75 3.52 3.33 0.86 5.28 4.89 4.59 4.35 4.15 0.88 6.45 6.04 5.73 5.48 5.27 2.07 1.94 1.83 1.73 1.84 2.55 2.41 2.29 2.18 2.07 3.16 3.01 2.88 2.76 2.65 3.97 3.81 3.67 3.54 3.42 5.08 4.91 4.75 4.61 4.48 1.55 1.48 1.40 1.34 1.28 1.98 1.90 1.82 1.74 1,67 2.55 2.45 2.36 2.28 2.20 3.30 3.20 3.10 3.01 2.92 4.36 4.24 4.14 4.03 3.94 0.90 8.10 7.67 7.35 7.09 6.86 0.92 10.58 10.14 9.81 9.53 9.29 0.94 14.73 14.27 13.92 13.63 13.38 0.96 23.04 22.57 22.21 21.91 21.64 0.98 48.02 47.53 47.16 46.84 46.57 6.66 6.48 6.31 6.16 6.02 9.08 8.88 8.71 8.54 8.39 13.16 12.95 12.76 12.59 12.42 21.40 21.18 20.98 20.79 20.62 46.31 46.08 45.87 45.67 45.48 5.89 5.76 5.64 5.53 5.42 8.24 8.11 7.98 7.88 7.74 12.26 12.12 11.98 11.84 11.72 20.45 20.29 20.14 19.99 19.85 45.30 45.13 44.97 44.81 44.66 D Question 4 6 pts Using the information provided in the Tax Preparation System Problem, answer the following: what is the minimum time we can spend in the whole process? 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