Question: Demand for devils food whipped-cream layer cake at a local pastry shop can be approximated using a Poisson distribution with a mean of 6 per

Demand for devils food whipped-cream layer cake at a local pastry shop can be approximated using a Poisson distribution with a mean of 6 per day. The manager estimates it costs $11 to prepare each cake. Fresh cakes sell for $16. Day-old cakes sell for $10 each. What stocking level is appropriate if one-half of the day-old cakes are sold and the rest thrown out? Use Table C. Stocking level cakes

Table C (concluded) u\x 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 3. 0 3.2 3. 4 3.6 0 50 .041 0 33 .027 .022 .199423 171 .380 .j47 340 .126 .303 .107 .269 647 .815 96 603 781 .895 558744.871 5157 06 .844 4 74 .658 .816 96 .955 .942 .927 .909 988 996 .999 983 994 .998 .977992997 .969 .938 .996 960 .984 .994 1.000 1.000 .999 .999 .998 1.000 1.000 .999 1. 0 433 .395 0/6 238 .210 .185 .01 .092 078 .066 .010 .056 0 08.048 .989 .B89 .868 .844 629 785 .590 .753 .551 .686 .476.651 .359 720 949 .979 .936 .972 .921 .964 .905 .955 .887944 .992 .997 .996 .985 .994 .980 .992 .975990 999 1.0 .999 1. 0 .996 .99 1.000 .997 .99 1.000 .996999 1.000 .163 .326 294 .818 4. B 143 .791 5.0 .007 040 125 265 441 .006034.109.238 .406 029 .095 213 373 .004 .024 .082 191 3 42 .003 021 072 170 313 616 .762 .867 932 .968 581.732845918960 546 702 .022 .512 .670 797 .B86 478 .63 71 .867 9 29 .986 .982 .978 972 .965 .995 .993 .990 .98B .984 .98 .97 .996 .995 .93 .999 999 999 .998 997 1.0 1.00 1.000 .999 .999 .41 1.000 1.000 5.8 .285 .259 .996 .995 .002 .003 017 .062 151 .002015 .054134 .012 .046119 .001010 .040 105 .001 .009 .034 .093 .446 .414 .384 355 .327 .606 744 .574716 542 .687 51 .658 .480 .628 .847916 .326 902 .803 780 369 755 .850 .957 .949 .939 .927 .915 .980 .975 .969 .963 .955 .91 .339 486 .482 .978 .994 .999 .998 .97 . 7 .996 .999 .999 .999 .999 .998 1.000 1.000 1.000 .999 .999 .213 192 .992 .990 1.000 1.000 .001 .001 001 001 .000 .007 030 .006 .025 005 022 004 019 .004 .01 062173 .072 .156 .063 .140 .055 125 048 112 301 276 .253 .231 210 .450 .420 .392 .365 33 599 569 539 510 481 729 .830 901 947 703 .310 .887 .937 .676 .788 .871 .926 .648 .765 .354 .915 620741 835.902 .973 87 6 1 .954 .945 .987 .984 .980 .976 .971 .994 .993 .91 .989 .836 .998 .997 .996 .995 .993 .999 999 .998 .998 .997 1.000 9 99 .999 .999 .999 1. 0 1.00 1.00 1.00 .996 .692 .995 8. 2 8.4 8.6 8.8 .000 0 00 .000 .000 .000 .003 .014.042100 .003 012 037 .089 .002 .010 032079 D02 .009 .030 070 O02 .007 .024 062 191 .313 174 .290 157 .267 142 246 128.226 453 .425 .400 373 .348 717 566 537 .666 .509640 482 614 .816 ,796 7 74 7 52 729 .888 .873 .857 .849 822 36 .926 .915 .09 8 89 .966 .960 9 52 .949 .935 .483 .79 .975 .73 .64 .992 .990 .987 .9B6 .981 .994 .993 .990 .998 .998 .997 .997 .995 .999 .999 .999 .99 .98 1.000 1.000 1.000 1.000 .999 1.000 9.0 9.5 .000 .000 .001 .00] .006 .02] 055 116 .004015040 4089 207 165 .324 269 456 587 392522 .706 .803 .645752 .876 36 .926 .398 .959 .940 .978 .967 .909 .982 .995 .991 .998 .999 .996998 1.000 .999

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