JUST NEED LETTER B ANSWERED. PLEASE SHOW ALL WORK. THANK YOU!
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 $64. 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.) Answer is complete and correct. Yes because, the total cost is $ 94.00 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.) X Answer is complete but not entirely correct. Yes because, the total cost is $ 108.48 X X M D FX MD FX MD FX MDF 1 5 .064 .066 2 1 2 4 .900 .702 .470 .871 .666 .444 .547 126 .562 .020 .133 .577 1 3 2 ,068 3 2 1 4 3 2 1 4 3 .815 .838 .070 1 3 2 022 5 4 3 .631 .075 1 3 2 1 .140 .591 .026 .158 .627 .031 .177 .940 .135 .995 .936 .140 .999 .994 .931 .999.145 .994 .926 .999 .992.150 .913 .999 .990 .899 .155 .999 .988 .883 .998.160 .986 2 1 4 2 1 5 3 4 .080 3 2 3 2 1 4 2 1 3 2 .085 3 2 1 4 3 6 5 4 3 2 .090 1 3 2 1 3 2. .867 2 1 1 6 .095 4 .037 .196 .692 .043 .216 .722 .049 .237 .750 .056 .258 .776 .064 .279 .800 5 1 3 4 .100 .998 .984.165 .850 .998 .981 .832 170 3 .850 4 .522 3 .907 2 .995 .900 4 .656 3 .957 2 .998 .950 4 3 .989 Population 10 2016 1 .144 .019 1 .170 .021 1 .188 .023 1 .206 .025 1 .224 026 1 .232 .028 1 .250 .030 1 .268 .032 2 .053 1 .285 .034 2. .087 1 301 .036 2 .041 1 .320 .038 2. .046 1 .337 .040 2 .050 1 .354 .042 2 .055 1 371 .044 2 .060 1 388 .046 2 .065 1 .404 .048 2 .071 1 421 .050 2 .076 1 .437 .052 2 .082 1 .454 ,054 2 .088 1 470 .056 2 .094 1 486 ,058 2 .100 1 .501 .060 2 .106 1 .517 ,062 2 .113 1 .532 .064 2. .119 2 .997 .996 .995 .994 .993 .992 .991 .990 .999 .988 .999 .986 .999 .984 .999 .982 .999 .980 .999 .978 .998 .975 .998 .973 1998 .970 .998 .967 .997 .963 .997 .960 .997 .956 3 .415.952 .220 .907 .699 .028.999 .132 .991 .437 .947 .919 .680 .230 .032 .999 144 .990 .460 .941 .929 .662 .036 .998 .240 .156 .989 .483 .935 .939 .644 .040 .998 .169 .987 .250 .505 .928 .947 .627 .044 .998 .182 .986 528 .921 .954 .610 .260 .049 .997 .195 .984 1550 .914 .961 .594 .054.997 209 .982 .270 571 .906 .966 .579 .013 .999 .066 .996 .238 .978 .614 .890 .280 .975 .890 .016 .999 .078 .995 .269 .973 .654.873 .522 .020 .999 .092 .994 .300 .968 .692 .854 .987 497 .025 .999 .300 .108 .992 333 .961 .728 .835 .474 .030 998 .124 990 366 954 .761 .815 .993 453 .037 .998 .142.988 .400.947 .791 794 .995 434 .044.997 .162 .996 .434 938 .819 .774 .996 416 2010 .999 .052.997 .183.983 469.929 .844 753 .997 400 .013 .999 .060.996 .205.980 .503.919 .866 732 .998 .384 .015999 .070 995 .228.976 .908 .886 712 .999 .370 .018 .999 .081 994 .252.972 .571 .896 .903 .692 .999 357 .022 999 .093.995 .278 .603.884 .918 .672 .999 345 .026 998 .106 .991 304 963 .635 872 2 1 3 1 4 2 1 6 .105 .997 2 1 3 2 3 2. 1 5 5 4 3 .110 .072 .537 4 2 1 .115 .978 .814 .997 | 180 .974 .795 .996 .971 .776 .190 .999 .995 .967 1 3 2 1 6 3 2 1 5 5 4 .120 4 4 3 3 2 2 1 4 .301 .822 .081 .324 .843 .016 .090 .346 .861 .019 .100 .369 .878 .022 .110 .392 .893 3 2 1 5 756 982 .290 .125 1 6 5 4 3 .968 3 2 1 4 3 .996 .130 4 .999 .200 1994 .962 .737 .999 .994.210 .958 .718 .999 .993 2 1 5 2 1 6 .953 .996 .949 .996 .945 3 5 2 1 4 3 4 .135 4 .025 3 2 1 995 3 121 .990 X M D F x M D F X M D F X MDF TABLE 18.7 Finite-queuing tables 042 Population 5 .125 2 .082.994.260 3.058.994 4403 .238 960 .012 1.060 999 1 .575.920 2 308.950 2 .652 807 .019 1.095 998 130 2 089933 1.903 695 1 .992 .451 .025 125 997 1 594.914.270 3.064.994 460 4 .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 1 .208.992.145 3 .011.999 1 .925 .661 3 .296.945 .044 1 .218 .991 2 109 991.290 4 .007 .999 2 719 767 .046 1 .228 990 1.647.892 3.079.992 1 996 415 .050 1 .247 .989.150 3.012.999 2 362.932 .500 4 .063 992 .052 1 .257 988 2 115 990 1934 .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 4.073991 .058 2 019 999 1.680 877 1942.628 3 359.927 1 .285 984 160 3 .015 999 310 4.009.999 2 .779 728 .060 2.020 .999 2.130 988 3.094 989 1 .998 384 1 .295.983 1.695.869 2 .402.919.540 4 .085.989 .062 2.022.999.165 3 .016 999 1950.613 3 .392.917 1 304.982 2.137.987.320 4 .010 .999 2.806 708 .064 2 .023 .999 1 710 861 3.105.988 1 .998 370 1 314 981 .170 3.017 .999 2 .422.912 560 4 .098 986 .066 2 .024 999 2 .145.985 1 956 597 3 426 906 1 323979 1 .725 853 330 4 .012999 2 .831 689 .068 2 .026 999.180 3.021.999 3.112 986 1 999 357 1 .333 978 2 .161.983 2 .442.904 580 4 113 984 .070 2 .027 999 1 .752.836 1962.583 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 2 462 896.600 4.130 981 .080 2 .035 998 200 3.028.998 1 1967.569 3 497 883 1388 969 2 .194.976 350 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 .0952 .049 997 220 3.036 997 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 1 860 747 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 .1152 .017 995 1876 .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 .712 440 4 .037 .996 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 $64. 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.) Answer is complete and correct. Yes because, the total cost is $ 94.00 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.) X Answer is complete but not entirely correct. Yes because, the total cost is $ 108.48 X X M D FX MD FX MD FX MDF 1 5 .064 .066 2 1 2 4 .900 .702 .470 .871 .666 .444 .547 126 .562 .020 .133 .577 1 3 2 ,068 3 2 1 4 3 2 1 4 3 .815 .838 .070 1 3 2 022 5 4 3 .631 .075 1 3 2 1 .140 .591 .026 .158 .627 .031 .177 .940 .135 .995 .936 .140 .999 .994 .931 .999.145 .994 .926 .999 .992.150 .913 .999 .990 .899 .155 .999 .988 .883 .998.160 .986 2 1 4 2 1 5 3 4 .080 3 2 3 2 1 4 2 1 3 2 .085 3 2 1 4 3 6 5 4 3 2 .090 1 3 2 1 3 2. .867 2 1 1 6 .095 4 .037 .196 .692 .043 .216 .722 .049 .237 .750 .056 .258 .776 .064 .279 .800 5 1 3 4 .100 .998 .984.165 .850 .998 .981 .832 170 3 .850 4 .522 3 .907 2 .995 .900 4 .656 3 .957 2 .998 .950 4 3 .989 Population 10 2016 1 .144 .019 1 .170 .021 1 .188 .023 1 .206 .025 1 .224 026 1 .232 .028 1 .250 .030 1 .268 .032 2 .053 1 .285 .034 2. .087 1 301 .036 2 .041 1 .320 .038 2. .046 1 .337 .040 2 .050 1 .354 .042 2 .055 1 371 .044 2 .060 1 388 .046 2 .065 1 .404 .048 2 .071 1 421 .050 2 .076 1 .437 .052 2 .082 1 .454 ,054 2 .088 1 470 .056 2 .094 1 486 ,058 2 .100 1 .501 .060 2 .106 1 .517 ,062 2 .113 1 .532 .064 2. .119 2 .997 .996 .995 .994 .993 .992 .991 .990 .999 .988 .999 .986 .999 .984 .999 .982 .999 .980 .999 .978 .998 .975 .998 .973 1998 .970 .998 .967 .997 .963 .997 .960 .997 .956 3 .415.952 .220 .907 .699 .028.999 .132 .991 .437 .947 .919 .680 .230 .032 .999 144 .990 .460 .941 .929 .662 .036 .998 .240 .156 .989 .483 .935 .939 .644 .040 .998 .169 .987 .250 .505 .928 .947 .627 .044 .998 .182 .986 528 .921 .954 .610 .260 .049 .997 .195 .984 1550 .914 .961 .594 .054.997 209 .982 .270 571 .906 .966 .579 .013 .999 .066 .996 .238 .978 .614 .890 .280 .975 .890 .016 .999 .078 .995 .269 .973 .654.873 .522 .020 .999 .092 .994 .300 .968 .692 .854 .987 497 .025 .999 .300 .108 .992 333 .961 .728 .835 .474 .030 998 .124 990 366 954 .761 .815 .993 453 .037 .998 .142.988 .400.947 .791 794 .995 434 .044.997 .162 .996 .434 938 .819 .774 .996 416 2010 .999 .052.997 .183.983 469.929 .844 753 .997 400 .013 .999 .060.996 .205.980 .503.919 .866 732 .998 .384 .015999 .070 995 .228.976 .908 .886 712 .999 .370 .018 .999 .081 994 .252.972 .571 .896 .903 .692 .999 357 .022 999 .093.995 .278 .603.884 .918 .672 .999 345 .026 998 .106 .991 304 963 .635 872 2 1 3 1 4 2 1 6 .105 .997 2 1 3 2 3 2. 1 5 5 4 3 .110 .072 .537 4 2 1 .115 .978 .814 .997 | 180 .974 .795 .996 .971 .776 .190 .999 .995 .967 1 3 2 1 6 3 2 1 5 5 4 .120 4 4 3 3 2 2 1 4 .301 .822 .081 .324 .843 .016 .090 .346 .861 .019 .100 .369 .878 .022 .110 .392 .893 3 2 1 5 756 982 .290 .125 1 6 5 4 3 .968 3 2 1 4 3 .996 .130 4 .999 .200 1994 .962 .737 .999 .994.210 .958 .718 .999 .993 2 1 5 2 1 6 .953 .996 .949 .996 .945 3 5 2 1 4 3 4 .135 4 .025 3 2 1 995 3 121 .990 X M D F x M D F X M D F X MDF TABLE 18.7 Finite-queuing tables 042 Population 5 .125 2 .082.994.260 3.058.994 4403 .238 960 .012 1.060 999 1 .575.920 2 308.950 2 .652 807 .019 1.095 998 130 2 089933 1.903 695 1 .992 .451 .025 125 997 1 594.914.270 3.064.994 460 4 .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 1 .208.992.145 3 .011.999 1 .925 .661 3 .296.945 .044 1 .218 .991 2 109 991.290 4 .007 .999 2 719 767 .046 1 .228 990 1.647.892 3.079.992 1 996 415 .050 1 .247 .989.150 3.012.999 2 362.932 .500 4 .063 992 .052 1 .257 988 2 115 990 1934 .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 4.073991 .058 2 019 999 1.680 877 1942.628 3 359.927 1 .285 984 160 3 .015 999 310 4.009.999 2 .779 728 .060 2.020 .999 2.130 988 3.094 989 1 .998 384 1 .295.983 1.695.869 2 .402.919.540 4 .085.989 .062 2.022.999.165 3 .016 999 1950.613 3 .392.917 1 304.982 2.137.987.320 4 .010 .999 2.806 708 .064 2 .023 .999 1 710 861 3.105.988 1 .998 370 1 314 981 .170 3.017 .999 2 .422.912 560 4 .098 986 .066 2 .024 999 2 .145.985 1 956 597 3 426 906 1 323979 1 .725 853 330 4 .012999 2 .831 689 .068 2 .026 999.180 3.021.999 3.112 986 1 999 357 1 .333 978 2 .161.983 2 .442.904 580 4 113 984 .070 2 .027 999 1 .752.836 1962.583 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 2 462 896.600 4.130 981 .080 2 .035 998 200 3.028.998 1 1967.569 3 497 883 1388 969 2 .194.976 350 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 .0952 .049 997 220 3.036 997 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 1 860 747 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 .1152 .017 995 1876 .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 .712 440 4 .037 .996
