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[solved]-Problem 18 7 Manager Regional Warehouse Must Decide Number Loading Docks Request New Facil Q39723468

Problem 18-7 The manager of a regional warehouse must decide on the number of loading docks to request for a new facility inNu ML, Po Nu ML, Pop ML, Pol TABLE 18.4 Infinite-source values for 1, and A given Wp and M 0.15 1 2 1 2 3 .056 .083 0.20 2 12Nu M 4 Pop M L Pop M L Pol 3.4 4 4. 3 5. 2 .019 .029 032 .033 .003 .005 .005 .005 .005 .006 .003 .004 .033 4.4 3.5 4 5.3 .015

Problem 18-7 The manager of a regional warehouse must decide on the number of loading docks to request for a new facility in order to minimize the sum of dock costs and driver-truck costs. The manager has learned that each driver-truck combination represents a cost of $218 per day and that each dock plus loading crew represents a cost of $1,178 per day. Use Table 1 and Table 2. a. How many docks should be requested if trucks arrive at the rate of four per day, each dock can handle five trucks per day, and both rates are Poisson? Number of dock(s) [ 1 b. An employee has proposed adding new equipment that would speed up the loading rate to 5.71 trucks per day. The equipment would cost an additional $100 per day for each dock. Should the manager invest in the new equipment? (Round your cost amount to 2 decimal places and all other calculations to 3 decimal places. Omit the “$” sign in your response.) (Yes , because the daily total cost with the new equipment is $ which is lower than without the new equipment. Nu ML, Po Nu ML, Pop ML, Pol TABLE 18.4 Infinite-source values for 1, and A given Wp and M 0.15 1 2 1 2 3 .056 .083 0.20 2 12 2 250 0.25 .850 860 .800 .818 .750 .778 .700 .739 .650 294 .089 .090 .091 .045 0.30 1 -301 .074 -080 0.35 1 264 .082 .082 .702 0.40 1 272 0.026 0.001 0.050 0.002 0.083 0.004 0.129 0.007 0.188 0.011 0.267 0.017 0.368 0.024 0.002 0.500 0.033 0.003 0.672 0.045 0.004 0.900 0.059 0.006 .600 .667 .550 0.45 1 2 .633 un 3 .637 .500 .065 .072 .074 .074 .025 .057 .065 .067 0.50 2 .600 .606 .450 0.60 1 4 2 .569 .576 .400 .538 .548 .350 .509 .521 .016 .050 .058 .060 ,061 .081 0.65 1 1.207 0.477 290 0.066 327 0.011 .332 0.675 0.094 0.016 .300 0.003 0.951 .212 0.130 0.023 0.004 1.345 0.177 236 0.032 .245 0.006 1.929 .143 0.237 0.045 0.009 223 2.844 .111 0.313 .187 0.060 .199 0.012 201 4.426 0.409 .166 0.080 .180 0.017 182 7.674 .053 0.532 .146 0.105 .162 0.023 .165 17.587 .026 0.688 128 0.136 .145 0.030 0.007149 0.889 .111 0.174 .130 0.040 .134 0.009 .135 1.149 .096 0.220 .117 0.052 .121 0.012 1.491 .081 0.277 105 0.066 .109 0.016 .111 1.951 .068 0.346 .093 0.084 .099 0.021 100 2.589 0.431 0.105 0.027 0.007 3.511 0.533 0.130 0.034 0.009 4.963 0.658 0.161 0.043 0.011 7.354 0.811 0.198 0.053 0.014 12.273 1.000 0.241 0.066 0.018 27.193 1.234 0.293 0.081 0.023 1.528 0.354 0.099 0.028 0.008 1.902 0.427 0.120 0.065 0.010 2.386 0.513 0.145 0.043 0.012 3.027 0.615 0.174 0.052 0.015 .008 0.70 .300 .044 .052 W non .481 .495 .054 .055 .038 0.75 250 3 4 5 2 3 4 .455 3 .471 .047 .049 2050 0.80 2 200 .429 .447 .150 .050 woon | 2.0 032 .042 .044 0.077 0.008 1.633 0.098 0.011 2.250 0.123 0.015 3.200 0.152 0.019 4.817 0.187 0.024 0.003 8.100 0.229 0.030 0.004 18.050 0.277 0.037 0.005 0.333 0.045 0.007 -404 3 .427 .045 .100 .027 .379 -037 .403 .040 .406 .040 041 .050 .356 .023 .383 .386 .033 .333 -037 .364 3 4 5 .037 .367 (continued) Nu M 4 Pop M L Pop M L Pol 3.4 4 4. 3 5. 2 .019 .029 032 .033 .003 .005 .005 .005 .005 .006 .003 .004 .033 4.4 3.5 4 5.3 .015 .026 .029 .030 .030 .030 ,005 .011 .005 .005 .005 .005 .002 5 5.4 .004 8 .023 026 .027 027 .027 .008 .020 9 4.6 3.7 4 5 .004 .004 .004 .005 .005 .002 .023 .010 5.5 .024 .025 GOOD .025 4. 7 .004 .004 .004 .004 .009 3.906 0.737 0.209 0.063 0.019 5 .165 0.882 0.248 0.076 0.023 0.007 7.090 1.055 0.295 0.019 0.028 0 .008 10.347 1.265 0.349 0.109 0.034 0.010 16.937 1.519 0.412 0.129 0.041 0.013 36.859 1.830 0.485 0.153 0.050 0.016 2.216 0.570 0.180 0.059 0.019 2.703 0.668 0.212 0.070 0.023 3.327 0.784 0.248 0.083 0.027 0.009 4.149 0.919 7 0.289 .130 8 0.097 .013 9 0.033 .014 100.011014 5 5.268 .006 6 1,078 .010 0.337 012 8 0.114 .012 9 0.039 .012 10 0.013 .012 6.862 .005 6 1.265 .009 7 0.391 .010 8 0.134 .011 9 0.046 .011 10 0.015 .011 5 9.289 .004 6 1.487 .008 7 0.453 .009 0.156 9 0.054 .010 10 0.018 .010 5 13.382 .003 1.752 .007 7 0.525 .008 0.181 9 0.064 .009 10 0.022 .009 5 21.641 .002 6 2.071 .006 0.607 .008 0.209 .008 0.074 .008 10 0.026 2008 46.566 .001 6 2.459 .005 0.702 .007 8 0.242 .007 9 0.087 .007 10 0.031 .007 11 0.011 .007 6 2.938 .005 0.810 2006 0.279 .006 0.101 .007 0.036 2007 11 0.013 .007 3.536 .004 7 0.936 .005 8 0.321 .006 9 0 .117 .006 10 0.042 .006 11 0.015 .006 OOOOOOOOooooooooooooo 6 4.301 7 1.081 8 0.368 9 0.135 10 0.049 11 0.018 6 5.303 7 1.249 0.422 9 0.155 100.057 11 0.021 12 0.007 6 6.661 1.444 8 0.483 9 0.178 10 0.066 11 0.024 12 0.009 6 8.590 1.674 8 0.553 9 0 .204 10 0.077 0.028 0.010 6 11.519 1.944 8 0.631 9 0 .233 10 0.088 110.063 0.012 16.446 7 2.264 0.721 9 0 .266 100.102 11 0.038 12 0.014 26.373 7 2.648 8 0.823 9 0.303 10 0.116 11 0.044 12 0.017 56.300 3.113 8 0.969 9 0.345 10 0.133 5.6 .001 8 9 .005 .017 021 .022 .022 .022 .002 .015 .019 .020 .020 .020 .013 .017 4.8 3. 9 4 5 .003 .004 .004 .004 2001 .002 4.0 5 .003 018 8 9 4. 1 5 6 5.0 5.8 .003 .003 003 .003 .001 .002 .003 .003 003 .003 .003 4. 2 .018 018 .011 015 .016 .016 .017 009 .013 014 .015 .015 .015 .008 .012 5 8 9 10 5 6 4.3 .002 .003 003 Show transcribed image text Problem 18-7 The manager of a regional warehouse must decide on the number of loading docks to request for a new facility in order to minimize the sum of dock costs and driver-truck costs. The manager has learned that each driver-truck combination represents a cost of $218 per day and that each dock plus loading crew represents a cost of $1,178 per day. Use Table 1 and Table 2. a. How many docks should be requested if trucks arrive at the rate of four per day, each dock can handle five trucks per day, and both rates are Poisson? Number of dock(s) [ 1 b. An employee has proposed adding new equipment that would speed up the loading rate to 5.71 trucks per day. The equipment would cost an additional $100 per day for each dock. Should the manager invest in the new equipment? (Round your cost amount to 2 decimal places and all other calculations to 3 decimal places. Omit the “$” sign in your response.) (Yes , because the daily total cost with the new equipment is $ which is lower than without the new equipment.
Nu ML, Po Nu ML, Pop ML, Pol TABLE 18.4 Infinite-source values for 1, and A given Wp and M 0.15 1 2 1 2 3 .056 .083 0.20 2 12 2 250 0.25 .850 860 .800 .818 .750 .778 .700 .739 .650 294 .089 .090 .091 .045 0.30 1 -301 .074 -080 0.35 1 264 .082 .082 .702 0.40 1 272 0.026 0.001 0.050 0.002 0.083 0.004 0.129 0.007 0.188 0.011 0.267 0.017 0.368 0.024 0.002 0.500 0.033 0.003 0.672 0.045 0.004 0.900 0.059 0.006 .600 .667 .550 0.45 1 2 .633 un 3 .637 .500 .065 .072 .074 .074 .025 .057 .065 .067 0.50 2 .600 .606 .450 0.60 1 4 2 .569 .576 .400 .538 .548 .350 .509 .521 .016 .050 .058 .060 ,061 .081 0.65 1 1.207 0.477 290 0.066 327 0.011 .332 0.675 0.094 0.016 .300 0.003 0.951 .212 0.130 0.023 0.004 1.345 0.177 236 0.032 .245 0.006 1.929 .143 0.237 0.045 0.009 223 2.844 .111 0.313 .187 0.060 .199 0.012 201 4.426 0.409 .166 0.080 .180 0.017 182 7.674 .053 0.532 .146 0.105 .162 0.023 .165 17.587 .026 0.688 128 0.136 .145 0.030 0.007149 0.889 .111 0.174 .130 0.040 .134 0.009 .135 1.149 .096 0.220 .117 0.052 .121 0.012 1.491 .081 0.277 105 0.066 .109 0.016 .111 1.951 .068 0.346 .093 0.084 .099 0.021 100 2.589 0.431 0.105 0.027 0.007 3.511 0.533 0.130 0.034 0.009 4.963 0.658 0.161 0.043 0.011 7.354 0.811 0.198 0.053 0.014 12.273 1.000 0.241 0.066 0.018 27.193 1.234 0.293 0.081 0.023 1.528 0.354 0.099 0.028 0.008 1.902 0.427 0.120 0.065 0.010 2.386 0.513 0.145 0.043 0.012 3.027 0.615 0.174 0.052 0.015 .008 0.70 .300 .044 .052 W non .481 .495 .054 .055 .038 0.75 250 3 4 5 2 3 4 .455 3 .471 .047 .049 2050 0.80 2 200 .429 .447 .150 .050 woon | 2.0 032 .042 .044 0.077 0.008 1.633 0.098 0.011 2.250 0.123 0.015 3.200 0.152 0.019 4.817 0.187 0.024 0.003 8.100 0.229 0.030 0.004 18.050 0.277 0.037 0.005 0.333 0.045 0.007 -404 3 .427 .045 .100 .027 .379 -037 .403 .040 .406 .040 041 .050 .356 .023 .383 .386 .033 .333 -037 .364 3 4 5 .037 .367 (continued)
Nu M 4 Pop M L Pop M L Pol 3.4 4 4. 3 5. 2 .019 .029 032 .033 .003 .005 .005 .005 .005 .006 .003 .004 .033 4.4 3.5 4 5.3 .015 .026 .029 .030 .030 .030 ,005 .011 .005 .005 .005 .005 .002 5 5.4 .004 8 .023 026 .027 027 .027 .008 .020 9 4.6 3.7 4 5 .004 .004 .004 .005 .005 .002 .023 .010 5.5 .024 .025 GOOD .025 4. 7 .004 .004 .004 .004 .009 3.906 0.737 0.209 0.063 0.019 5 .165 0.882 0.248 0.076 0.023 0.007 7.090 1.055 0.295 0.019 0.028 0 .008 10.347 1.265 0.349 0.109 0.034 0.010 16.937 1.519 0.412 0.129 0.041 0.013 36.859 1.830 0.485 0.153 0.050 0.016 2.216 0.570 0.180 0.059 0.019 2.703 0.668 0.212 0.070 0.023 3.327 0.784 0.248 0.083 0.027 0.009 4.149 0.919 7 0.289 .130 8 0.097 .013 9 0.033 .014 100.011014 5 5.268 .006 6 1,078 .010 0.337 012 8 0.114 .012 9 0.039 .012 10 0.013 .012 6.862 .005 6 1.265 .009 7 0.391 .010 8 0.134 .011 9 0.046 .011 10 0.015 .011 5 9.289 .004 6 1.487 .008 7 0.453 .009 0.156 9 0.054 .010 10 0.018 .010 5 13.382 .003 1.752 .007 7 0.525 .008 0.181 9 0.064 .009 10 0.022 .009 5 21.641 .002 6 2.071 .006 0.607 .008 0.209 .008 0.074 .008 10 0.026 2008 46.566 .001 6 2.459 .005 0.702 .007 8 0.242 .007 9 0.087 .007 10 0.031 .007 11 0.011 .007 6 2.938 .005 0.810 2006 0.279 .006 0.101 .007 0.036 2007 11 0.013 .007 3.536 .004 7 0.936 .005 8 0.321 .006 9 0 .117 .006 10 0.042 .006 11 0.015 .006 OOOOOOOOooooooooooooo 6 4.301 7 1.081 8 0.368 9 0.135 10 0.049 11 0.018 6 5.303 7 1.249 0.422 9 0.155 100.057 11 0.021 12 0.007 6 6.661 1.444 8 0.483 9 0.178 10 0.066 11 0.024 12 0.009 6 8.590 1.674 8 0.553 9 0 .204 10 0.077 0.028 0.010 6 11.519 1.944 8 0.631 9 0 .233 10 0.088 110.063 0.012 16.446 7 2.264 0.721 9 0 .266 100.102 11 0.038 12 0.014 26.373 7 2.648 8 0.823 9 0.303 10 0.116 11 0.044 12 0.017 56.300 3.113 8 0.969 9 0.345 10 0.133 5.6 .001 8 9 .005 .017 021 .022 .022 .022 .002 .015 .019 .020 .020 .020 .013 .017 4.8 3. 9 4 5 .003 .004 .004 .004 2001 .002 4.0 5 .003 018 8 9 4. 1 5 6 5.0 5.8 .003 .003 003 .003 .001 .002 .003 .003 003 .003 .003 4. 2 .018 018 .011 015 .016 .016 .017 009 .013 014 .015 .015 .015 .008 .012 5 8 9 10 5 6 4.3 .002 .003 003

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Answer to Problem 18-7 The manager of a regional warehouse must decide on the number of loading docks to request for a new facilit… . . .

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