Question: Table 1 Table 2 Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crew consisting

Table 1 Table 2 Trucks arrive at the loading dock Table 1Table 2

Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crew consisting of two workers can load a truck in about 30 minutes. Crew members receive $10 per hour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $63. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucks per hour. Assume rates are Poisson. Use Table 1 and Table 2. 10 a. Would the third crew member be economical? (Round your intermediate and final answer to 2 decimal places.) Yes because, the total cost is b. Would a fourth member be justifiable if the resulting service capacity were 3 trucks per hour? (Round your intermediate and final answer to 2 decimal places.) Yes because, the total cost is 1 X MD FX MDF XMD FX MDF TABLE 18.7 Finite-queuing tables Population 5 .125 2.082.994.260 3 .058 994 440 3238 960 2012 1 060 999 1 .575.920 2 .303 .950 2 652 807 .019 1.095 998 .130 2.089.933 1.903 .695 1992 .451 .025 1 125.997 1 .594.914 .270 3 .064.994.4604 .045 995 .030 1 149.996.135 2 .095.933 2 .323.944 3 266 953 .034 1.169.995 1.612.907 1 915 .677 2 .686 787 .036 1 .179 994 140 2.102.992.280 3 .071 993 1 .994 432 ,040 1 .199 993 1 .630 900 2 .342.938.480 4.053 994 .042 1 .208.992.145 3 .011 999 1 .925 .661 3 .296945 .044 1 .218.991 2 109 991.290 4 .007 .999 2 719 767 .046 1 .228.990 1 .647.892 3 .079.992 .996 415 .050 1 .247 989 .150 3 .012999 2 .362 932.500 4.063 992 ,052 1 .257 988 2 115.990 1 .934 644 3 .327.966 .054 1 266 987 1.664 885 300 4 .008 .999 2 750 748 .056 2.018 999.155 3 .013 .999 3 .086.990 1997 399 1 .276 985 2.123.989 2 382.926.520 4 073 991 .058 2 019 999 1.680 877 1 .942.628 3.359 927 1 285 984160 3.015 .999 310 4 .009 .999 2 779 728 .060 2 .020 999 2.130 988 3 .094 989 1998 384 1 .295 983 1 .695.869 2 .402.919.540 4 085 989 .062 2.022 999 165 3 .016 .999 1 950 613 3 392 917 1.304 982 2.137.987.320 4 .010 .999 2.806 708 .064 2 .023 999 1 .710 861 3 103.988 1998 370 1 314 981 .1703 .017 .999 2 .422.912.560 4.098 986 .066 2.024 999 2 145 985 1 .956 597 3 426 906 1 323 979 1.725 853 330 4 .012999 2 831 689 .068 2.026 999 180 3 .021.999 3 .112 986 1 .999 .357 1 353 978 2 .161983 2 .442.904.580 4 113 984 .070 2 .027 999 1.752.836 1 .962.583 3 461 895 1 .342.977.190 3 .024 998.340 4 .013 999 2.854 670 .075 2.031 999 2 .117.980 3 121.985 1.999 345 1 365 973 1 .778 819 2 2 .462.896.600 4.130 981 .080 2 .035 998 200 3 .028 998 1 .967569 3 497 883 1 388 969 2 .194.976 360 4 .017 .998 2.875 652 .0852 .040 998 1 .801.801 3 .141.981 1 .999 353 1 410 965.210 3.032.998 2 .501 880.650 4 179 972 0902 .044 998 2 211.973 1 .975.542 3 588 850 1.432 960 1.822.783.380 4 021 998 2.918 608 .095 2 .049 997 2203 .036 997 3 .163.976 1 .999 .308 1.454 955 2 .229.969 2 .540.863.700 4 .240 960 .100 2 .054 997 1 .842.765 1 .981 516 3.678 815 1 475 950 230 3 .041.997.400 4 .026.997 2 950 568 .105 2 059 997 2 247 965 3 .186.972 1.999.286 1 496 945 1860 .747 2 .579.845.750 4 316 944 .110 2 .065 996 240 3.046.996 1 .986 493 3 763 777 1 .516 939 2 .265.960.420 4 .031 997 2 972 532 .115 2 017 995 1 .876 730 3 211.966.800 4 410 924 1 537.933.250 3 .052.995 2 .616 826 3.841 739 .120 2.076 995 2 .284 .955 1 .989 471 2 987 500 1 .556 927 1 .890 712 .4404 ,037.996 X MD FX MD FX MD FX MDF 1 .135 .220 .064 .066 2 1 5 4 2 .995 .140 3 1 3 ,068 4 3 2 2 .230 1 5 4 .070 .145 2 1 3 2 1 3 1 4 3 460 2 1 4 2 1 .075 .158 .150 .240 3 .080 2 1 3 2 1 2 1 4 5 4 3 2. 1 .155 .085 3 .250 6 2 5 3 2 1 4 1 4 .090 3 .160 3 2 2 3 2 1 3 .095 .260 1 4 1 6 5 2 .165 1 4 3 .100 3 .850 4 .522.900 3 .907 .702 2 .470 .900 4 .656 .871 3 .957 .666 2 .998 .444 .950 4 .815 .838 3 .989 .631 Population 10 .016 1 .144 .997 .019 1 .170 .996 .021 1 .188 .995 .023 1 .206 .994 .025 1 .224 .993 .026 1 .232 .992 .028 1 .250 .991 .030 1 .268 .990 .032 2 .053 .999 1 .285 .988 .034 2 .037 .999 1 .301 .986 .036 2 .041 .999 1 .320 1984 .038 2 .046 .999 1 .337 .982 2 .050 1 .354 980 .042 2 .055 .999 1 371 .978 .044 2 .060 998 1 .388.975 .046 2 .065 .998 1 404 .973 .048 2 .071 .998 1 .421 .970 2 .076 .998 1 437 1967 .052 2 .082 .997 1 .454 .963 .054 2 .088 .997 1 .470 960 .056 2 .094 .997 1 486 .956 .058 2 .100 996 1 .501 .953 .060 2 .106 1 .517 .949 .062 2 1 .532 .945 .064 2 .119 .995 .547.940 .126 .995 .562 .936 .020 .999 .133 .994 .577 .931 .022 .999 140.994 .591 .926 .026 .999 .992 .627 .913 .031 .999 .177 .990 .660 .899 .037 .999 .196 .988 .692 .883 .043 .998 .216 .986 .722 .867 .049 .998 .237 .984 .750 .850 .056 .998 .258 .981 .776 .832 .064 .997 .279 .978 .800 .814 .072.997 .301 .974 .822 .795 .081 .996 .324 .971 .843 .776 .016 .999 .090 .995 .346 .967 .861 .756 .019 .999 .100 .994 .369 .962 .878 .737 .022 .999 .110 .994 .392 .958 .893 .718 .025 .999 .121 .993 .415 .952 .907 .699 ,028 .999 .132 .991 .437 .947 .919 .680 .032 .999 .144 .990 .941 .929 .662 .036 .998 .156 .989 .483 .935 .939 .644 .040 .998 .169 .987 .505 .928 .947.627 .044 998 .182 .986 528 .921 .954 .610 .049 .997 .195 .984 .550 .914 .961 .594 .054 .997 .209 .982 .906 .966 .579 .999 .066 .996 .238 .978 .614 .890 .975 .890 .016 .999 .078 .995 .269 .973 .654 .873 .982 .522 .020 .999 .092 .994 .300 .968 .692 .854 .987 .497 .025 .999 .108 .992 .333 .961 .728 .835 .990 .474 .030 .998 .124 .990 .366 .954 .761 .815 .993 453 ,037 .998 .142 .988 .400 .947 .791.794 .995 434 .044 .997 .162 .986 .434 .938 .819.774 .996 .416 .010 .999 .052.997 .183.983 .469 .929 .844 753 .997.400 2013 .999 .060 .996 .205 .980 .503 .919 .866 732 .998 384 .015 .999 .995 .228 .976 .537 908 .886 .712 .999 .370 .018 .999 .081 .994 .252 .972 .571 .896 .903 .692 .999 357 .022 .999 .093 .993 .278 .968 .603 .884 .918 .672 .999 .345 .026 .998 .106 .991 .304.963 .635 .872 3 2 1 4 3 .040 .999 2 1 .170 .105 .270 6 2 1 3 2 1 3 .571 ,070 2 1 5 5 4 3 .110 .180 .013 4 2 1 .115 2 1 3 2 1 .280 6 3 2 1 5 .050 .190 5 4 3 2 .120 4 4 3 3 2 2 1 1 .290 6 5 .125 4 .200 3 4 2 1 5 4 3 2 1 5 1 4 .130 .996 3 .210 .300 3 2 1 6 5 4 3 2 .113 .996 1 4 3 2 1 .135 4 3

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