\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{4}{*}{1.20} & 2 & 0.675 & 0.250 & & 5 & 0.882 & 0.026 & & 11 & 0.018 & 0.006 \\ \hline & 3 & 0.094 & 0.294 & & 6 & 0.248 & 0.029 & 5.30 & 6 & 5.303 & 0.003 \\ \hline & 4 & 0.016 & 0.300 & & 7 & 0.076 & 0.03 & & 7 & 1.249 & 0.004 \\ \hline & 5 & 0.003 & 0.301 & & 8 & 0.023 & 0.03 & & 8 & 0.422 & 0.005 \\ \hline \multirow{4}{*}{1.30} & 2 & 0.951 & 0.212 & & 9 & 0.007 & 0.03 & & 9 & 0.155 & 0.005 \\ \hline & 3 & 0.130 & 0.264 & 3.60 & 4 & 7.090 & 0.011 & & 10 & 0.057 & 0.005 \\ \hline & 4 & 0.023 & 0.271 & & 5 & 1.055 & 0.023 & & 11 & 0.021 & 0.005 \\ \hline & 5 & 0.004 & 0.272 & & 6 & 0.295 & 0.026 & & 12 & 0.007 & 0.005 \\ \hline \multirow[t]{4}{*}{1.40} & 2 & 1.345 & 0.176 & & 7 & 0.019 & 0.027 & 5.40 & 6 & 6.661 & 0.002 \\ \hline & 3 & 0.177 & 0.236 & & 8 & 0.028 & 0.027 & & 7 & 1.444 & 0.004 \\ \hline & 4 & 0.032 & 0.245 & & 9 & 0.008 & 0.027 & & 8 & 0.483 & 0.004 \\ \hline & 5 & 0.006 & 0.246 & 3.70 & 4 & 10.347 & 0.008 & & 9 & 0.178 & 0.004 \\ \hline \multirow[t]{4}{*}{1.50} & 2 & 1.929 & 0.143 & & 5 & 1.265 & .02 & & 10 & 0.066 & 0.004 \\ \hline & 3 & 0.237 & 0.211 & & 6 & 0.349 & 0.023 & & 11 & 0.024 & 0.005 \\ \hline & 4 & 0.045 & 0.221 & & 7 & 0.109 & 0.024 & & 12 & 0.009 & 0.005 \\ \hline & 5 & & 0.223 & & 8 & 0.034 & 0.025 & 5.50 & 6 & 8.590 & 0.002 \\ \hline \multirow[t]{4}{*}{1.60} & 2 & 2.844 & 0.111 & & 9 & 0.010 & 0.025 & & 7 & 1.674 & 0.003 \\ \hline & 3 & 0.313 & 0.187 & 3.80 & 4 & 16.937 & 0.005 & & 8 & 0.553 & 0.004 \\ \hline & 4 & 0.06 & 0.199 & & 5 & 1.519 & 0.017 & & 9 & 0.204 & 0.004 \\ \hline & 5 & 0.012 & 0.201 & & 6 & 0.412 & 0.021 & & 10 & 0.077 & 0.004 \\ \hline \multirow[t]{4}{*}{1.70} & 2 & 4.426 & 0.081 & & 7 & 0.129 & 0.022 & & 11 & 0.028 & 0.004 \\ \hline & 3 & 0.409 & 0.166 & & 8 & 0.041 & 0.022 & & 12 & 0.010 & 0.004 \\ \hline & 4 & .08 & 0.180 & & 9 & 0.013 & 0.022 & 5.60 & 6 & 11.519 & 0.001 \\ \hline & 5 & 0.017 & 0.182 & 3.90 & 4 & 36.859 & 0.002 & & 7 & 1.944 & 0.003 \\ \hline \multirow[t]{4}{*}{1.80} & 2 & 7.674 & 0.053 & & 5 & 1.830 & 0.015 & & 8 & 0.631 & 0.003 \\ \hline & 3 & 0.532 & 0.146 & & 6 & 0.485 & 0.019 & & 9 & 0.233 & 0.004 \\ \hline & 4 & 0.105 & 0.162 & & 7 & 0.153 & 0.02 & & 10 & 0.088 & 0.004 \\ \hline & 5 & 0.023 & 0.165 & & 8 & 0.050 & .02 & & 11 & 0.033 & 0.004 \\ \hline \multirow[t]{5}{*}{1.90} & 2 & 17.587 & 0.026 & & 9 & 0.016 & 0.02 & & 12 & 0.012 & 0.004 \\ \hline & 3 & 0.688 & 0.128 & 4.0 & 5 & 2.216 & 0.013 & 5.70 & 6 & 16.446 & 0.001 \\ \hline & 4 & 0.136 & 0.145 & & 6 & 0.570 & 0.017 & & 7 & 2.264 & 0.002 \\ \hline & 5 & 0.03 & 0.149 & & 7 & 0.180 & 0.018 & & 8 & 0.721 & 0.003 \\ \hline & 6 & 0.007 & 0.149 & & 8 & 0.059 & 0.018 & & 9 & 0.266 & 0.003 \\ \hline \multirow[t]{4}{*}{2.0} & 3 & 0.889 & 0.111 & & 9 & 0.019 & 0.018 & & 10 & 0.102 & 0.003 \\ \hline & 4 & 0.174 & 0.130 & 4.10 & 5 & 2.703 & 0.011 & & 11 & 0.038 & 0.003 \\ \hline & 5 & 0.04 & 0.134 & & 6 & 0.668 & 0.015 & & 12 & 0.014 & 0.003 \\ \hline & 6 & & 0.135 & & 7 & 0.212 & 0.016 & 5.80 & 6 & 26.373 & 0.001 \\ \hline \multirow[t]{4}{*}{2.10} & 3 & 1.149 & 0.096 & & 8 & 0.07 & 0.016 & & 7 & 2.648 & 0.002 \\ \hline & 4 & 0.22 & 0.117 & & 9 & 0.023 & 0.017 & & 8 & 0.823 & 0.003 \\ \hline & 5 & 0.052 & 0.121 & 4.20 & 5 & 3.327 & 0.009 & & 9 & 0.303 & 0.003 \\ \hline & 6 & 0.012 & 0.122 & & 6 & 0.784 & 0.013 & & 10 & 0.116 & 0.003 \\ \hline \multirow[t]{4}{*}{2.20} & 3 & 1.491 & 0.081 & & 7 & 0.248 & 0.014 & & 11 & 0.044 & 0.003 \\ \hline & 4 & 0.277 & 0.105 & & 8 & 0.083 & 0.015 & & 12 & 0.017 & 0.003 \\ \hline & 5 & 0.066 & 0.109 & & 9 & 0.027 & 0.015 & 5.90 & 6 & 56.300 & \\ \hline & 6 & 0.016 & 0.111 & & 10 & 0.009 & 0.015 & & 7 & 3.113 & 0.002 \\ \hline \multirow[t]{4}{*}{2.30} & 3 & 1.951 & 0.068 & 4.30 & 5 & 4.149 & 0.008 & & 8 & 0.939 & 0.002 \\ \hline & 4 & 0.346 & 0.093 & & 6 & 0.919 & 0.012 & & 9 & 0.345 & 0.003 \\ \hline & 5 & 0.084 & 0.099 & & 7 & 0.289 & 0.130 & & 10 & 0.133 & 0.003 \\ \hline & 6 & 0.021 & 0.100 & & 8 & 0.097 & 0.013 & & 11 & 0.051 & 0.003 \\ \hline \multirow[t]{2}{*}{2.40} & 3 & 2.589 & 0.056 & & 9 & 0.033 & 0.014 & & 12 & 0.019 & 0.003 \\ \hline & 4 & 0.431 & 0.083 & & 10 & 0.011 & 0.014 & & & & \\ \hline \end{tabular} The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 75 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers' parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don't get in until after the feature has started.) Use a. What is the average customer time in the system? Note: Round your answer to 2 decimal places. b. What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds? Note: Round your answer to 3 decimal places. c-1. What would be the customer time in the system if a second window was opened with each ticket seller doing all three tasks? Note: Use closest / value from Exhibit 10.9. Do not round intermediate calculations. Round your answer to 3 decimal places. c-2. Would system waiting time which is obtained in part (c-1) be less than you found in (b)? Yes No Exhibit 10.9 Excel: Expected Length \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline/ & s & Lq & P & / & s & Lq & P & / & s & Lq & P \\ \hline \multirow{2}{*}{0.15} & 1 & 0.026 & 0.850 & & 5 & 0.105 & 0.089 & 4.40 & 5 & 5.268 & 0.006 \\ \hline & 2 & 0.001 & 0.860 & & 6 & 0.027 & 0.090 & & 6 & 1.078 & 0.010 \\ \hline \multirow[t]{2}{*}{0.2} & 1 & 0.050 & 0.800 & & 7 & 0.007 & 0.091 & & 7 & 0.337 & 0.012 \\ \hline & 2 & 0.002 & 0.818 & 2.50 & 3 & 3.511 & 0.045 & & 8 & 0.114 & 0.012 \\ \hline \multirow[t]{2}{*}{0.25} & 1 & 0.083 & 0.750 & & 4 & 0.533 & 0.074 & & 9 & 0.039 & 0.012 \\ \hline & 2 & 0.004 & 0.778 & & 5 & 0.130 & 0.080 & & 10 & 0.013 & 0.012 \\ \hline \multirow[t]{2}{*}{0.30} & 1 & 0.129 & 0.700 & & 6 & 0.034 & 0.082 & 4.50 & 5 & 6.862 & 0.005 \\ \hline & 2 & 0.007 & 0.739 & & 7 & 0.009 & 0.082 & & 6 & 1.265 & 0.009 \\ \hline \multirow[t]{2}{*}{0.35} & 1 & 0.188 & 0.650 & 2.60 & 3 & 4.933 & 0.035 & & 7 & 0.391 & 0.010 \\ \hline & 2 & 0.011 & 0.702 & & 4 & 0.658 & 0.065 & & 8 & 0.134 & 0.011 \\ \hline \multirow[t]{2}{*}{0.40} & 1 & 0.267 & 0.600 & & 5 & 0.161 & 0.072 & & 9 & 0.046 & 0.011 \\ \hline & 2 & 0.017 & 0.667 & & 6 & 0.043 & 0.074 & & 10 & 0.015 & 0.011 \\ \hline \multirow[t]{3}{*}{0.45} & 1 & 0.368 & 0.550 & & 7 & 0.011 & 0.074 & 4.60 & 5 & 9.289 & 0.004 \\ \hline & 2 & 0.024 & 0.633 & 2.70 & 3 & 7.354 & 0.025 & & 6 & 1.487 & 0.008 \\ \hline & 3 & 0.002 & 0.637 & & 4 & 0.811 & 0.057 & & 7 & 0.453 & 0.009 \\ \hline \multirow[t]{3}{*}{0.50} & 1 & 0.500 & 0.500 & & 5 & 0.198 & 0.065 & & 8 & 0.156 & 0.010 \\ \hline & 2 & 0.033 & 0.600 & & 6 & 0.053 & 0.067 & & 9 & 0.054 & 0.010 \\ \hline & 3 & 0.003 & 0.606 & & 7 & 0.014 & 0.067 & & 10 & 0.018 & 0.010 \\ \hline \multirow[t]{3}{*}{0.55} & 1 & 0.672 & 0.450 & 2.80 & 3 & 12.273 & 0.016 & 4.70 & 5 & 13.382 & 0.003 \\ \hline & 2 & 0.045 & 0.569 & & 4 & 1.000 & 0.050 & & 6 & 1.752 & 0.007 \\ \hline & 3 & 0.004 & 0.576 & & 5 & 0.241 & 0.058 & & 7 & 0.525 & 0.008 \\ \hline \multirow[t]{3}{*}{0.60} & 1 & 0.900 & 0.400 & & 6 & 0.066 & 0.060 & & 8 & 0.181 & .09 \\ \hline & 2 & 0.059 & 0.538 & & 7 & 0.018 & 0.061 & & 9 & 0.064 & 0.009 \\ \hline & 3 & 0.006 & 0.548 & 2.90 & 3 & 27.193 & 0.008 & & 10 & 0.022 & 0.009 \\ \hline \multirow[t]{3}{*}{0.65} & 1 & 1.207 & 0.350 & & 4 & 1.234 & 0.044 & 4.80 & 5 & 21.641 & 0.002 \\ \hline & 2 & 0.077 & 0.509 & & 5 & 0.293 & 0.052 & & 6 & 2.071 & 0.006 \\ \hline & 3 & 0.008 & 0.521 & & 6 & 0.081 & 0.054 & & 7 & 0.607 & 0.008 \\ \hline \multirow[t]{3}{*}{0.70} & 1 & 1.633 & 0.300 & & 7 & 0.023 & 0.055 & & 8 & 0.209 & 0.008 \\ \hline & 2 & 0.098 & 0.481 & 3.00 & 4 & 1.528 & 0.038 & & 9 & 0.074 & 0.008 \\ \hline & 3 & 0.011 & 0.495 & & 5 & 0.354 & 0.047 & & 10 & 0.026 & 0.008 \\ \hline \multirow[t]{3}{*}{0.75} & 1 & 2.250 & 0.250 & & 6 & 0.099 & 0.049 & 4.90 & 5 & 46.566 & 0.001 \\ \hline & 2 & 0.123 & 0.455 & & 7 & 0.028 & 0.050 & & 6 & 2.459 & 0.005 \\ \hline & 3 & 0.015 & 0.471 & & 8 & 0.008 & 0.050 & & 7 & 0.702 & 0.007 \\ \hline \multirow[t]{3}{*}{0.80} & 1 & 3.200 & 0.200 & 3.10 & 4 & 1.902 & 0.032 & & 8 & 0.242 & 0.007 \\ \hline & 2 & 0.152 & 0.429 & & 5 & 0.427 & 0.042 & & 9 & 0.087 & 0.007 \\ \hline & 3 & 0.019 & 0.447 & & 6 & 0.120 & 0.044 & & 10 & 0.031 & 0.007 \\ \hline \multirow[t]{4}{*}{0.85} & 1 & 4.817 & 0.150 & & 7 & 0.035 & 0.045 & & 11 & 0.011 & 0.007 \\ \hline & 2 & 0.187 & 0.404 & & 8 & 0.010 & 0.045 & 5.00 & 6 & 2.938 & 0.005 \\ \hline & 3 & 0.024 & 0.425 & 3.20 & 4 & 2.386 & 0.027 & & 7 & 0.810 & 0.006 \\ \hline & 4 & 0.003 & 0.427 & & 5 & 0.513 & 0.037 & & 8 & 0.279 & 0.006 \\ \hline 0.90 & 1 & 8.100 & 0.100 & & 6 & 0.145 & 0.04 & & 9 & 0.101 & 0.007 \\ \hline & 2 & 0.229 & 0.379 & & 7 & 0.043 & .04 & & 10 & 0.036 & 0.007 \\ \hline & 3 & 0.030 & 0.403 & & 8 & 0.012 & 0.041 & & 11 & 0.013 & 0.007 \\ \hline & 4 & 0.004 & 0.406 & 3.30 & 4 & 3.027 & 0.023 & 5.10 & 6 & 3.536 & 0.004 \\ \hline 0.95 & 1 & 18.050 & 0.050 & & 5 & 0.615 & 0.033 & & 7 & 0.936 & 0.005 \\ \hline & 2 & 0.277 & 0.356 & & 6 & 0.174 & 0.036 & & 8 & 0.321 & 0.006 \\ \hline & 3 & 0.037 & 0.383 & & 7 & 0.052 & 0.037 & & 9 & 0.117 & 0.006 \\ \hline & 4 & 0.005 & 0.386 & & 8 & 0.015 & 0.037 & & 10 & 0.042 & 0.006 \\ \hline 1.00 & 2 & 0.333 & 0.333 & 3.40 & 4 & 3.906 & 0.019 & & 11 & 0.015 & 0.006 \\ \hline & 3 & 0.045 & 0.364 & & 5 & 0.737 & 0.029 & 5.20 & 6 & 4.301 & 0.003 \\ \hline & 4 & 0.007 & 0.367 & & 6 & 0.209 & 0.032 & & 7 & 1.081 & 0.005 \\ \hline 1.10 & 2 & 0.477 & 0.290 & & 7 & 0.063 & 0.033 & & 8 & 0.368 & 0.005 \\ \hline & 3 & 0.066 & 0.327 & & 8 & 0.019 & 0.033 & & 9 & 0.135 & 0.005 \\ \hline & 4 & 0.011 & 0.332 & 3.50 & 4 & 5.165 & 0.015 & & 10 & 0.049 & 0.005 \\ \hline 1.20 & 2 & 0.675 & 0.250 & & 5 & 0.882 & 0.026 & & 11 & 0.018 & 0.006 \\ \hline \end{tabular}