Table B

Table B1

Demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normal distribution with a mean of 23 gallons per week and a standard deviation of 3.2 gallons per week. The new manager desires a service level of 90 percent. Lead time is two days, and the dairy is open seven days a week. (Hint Work in terms of weeks.) Use Table B and Table B1. a-1. If an ROP model is used, what ROP would be consistent with the desired service level? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) ROP gallons a-2. How many days of supply are on hand at the ROP, assuming average demand? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Days b-1. If a fixed-interval model is used instead of an ROP model, what order size would be needed for the 90 percent service level with an order interval of 7 days and a supply of 8 gallons on hand at the order time? (Do not round intermediate calculations. Round your final answer to the nearest whole number.) Order size gallons b-2. What is the probability of experiencing a stockout before this order arrives? (Do not round intermediate calculations. Round your final answer to the nearest whole percent. Omit the "%" sign in your response.) Probability c. Suppose the manager is using the ROP model described in part a. One day after placing an order with the supplier, the manager receives a call from the supplier that the order will be delayed because of problems at the supplier's plant. The supplier promises to have the order there in two days. After hanging up, the manager checks the supply of walnut fudge ice cream and finds that 2 gallons have been sold since the order was placed. Assuming the supplier's promise is valid, what is the probability that the dairy will run out of this flavor before the shipment arrives? (Do not round intermediate calculations. Round your final answer to the nearest whole percent. Omit the "%" sign in your response.) Risk probability .09 1.08 1.07 .05 1.04 .02 .01 1.00 Z 0002 10003 10005 2007 0010 10003 10004 10005 .0007 10010 20003 0004 10005 10008 0011 106 .0003 20004 1006 2008 20011 1.0003 10004 .0006 2008 20011 10003 20004 .0006 20008 20012 1.03 0003 004 2006 0009 0012 10003 2005 10006 40009 10013 1.03 1.0005 .0007 2009 10013 10003 10005 10007 0010 0013 -3.4 -3.3 -3.2 -3.1 -3.0 1.0014 0019 1.0026 10086 0048 1.0014 10020 10027 10087 1.0049 0015 10021 0028 (0038 20051 10015 0021 0029 0039 0052 20016 20022 0020 .0040 20054 2016 0023 0031 20041 0055 017 0023 0032 0043 20057 10018 0024 0033 10044 0059 20018 0025 084 10045 10060 10019 0026 10035 10047 10062 -2.9 -2.8 -2.7 -2.6 -2.5 10064 20084 20110 20143 .0183 10066 20087 20113 20146 20188 20068 10089 0116 0150 0192 0069 20091 20119 0154 0197 20071 20094 10122 1.0158 10202 20073 0096 20125 0162 0207 0075 20099 0129 166 212 2008 20102 20132 20170 0217 20080 20104 .01.36 20174 10222 20082 10107 0139 .0179 10223 -2.4 -2.3 -22 -21 -2.0 10233 10294 10367 .0455 1.0559 10239 10301 10375 00465 10571 1024 10307 0284 0475 0532 10250 0314 0392 10485 10594 10256 0322 001 10495 10606 0262 0329 409 10505 0618 0268 0336 0418 0516 0630 0274 034 0427 0526 10643 10281 0351 0435 0537 10655 10287 0359 1.0446 -1.9 -1.9 -17 -1.6 -15 0548 10668 10681 1.0823 1.0985 1170 1379 1.0694 1.038 11003 1190 1401 0708 10853 1020 1210 1423 0721 10869 103B 1230 1446 10735 10885 (1056 1251 (1469 0749 0901 11075 1271 1492 0764 0918 11093 1292 1515 0778 0934 1112 1314 1539 40793 0951 11-31 1365 1562 0808 1.0968 1151 1357 11587 -1.4 -1.3 -1.2 -11 -1.0 1.1611 1.1867 12148 12451 12776 1685 194 2177 2483 2810 1660 1972 1.2206 12514 1.2843 1685 1949 12236 2546 128] 11711 1977 12266 12578 2012 1736 2005 12296 2611 12946 1762 2023 12327 12643 1.2981 1788 12061 12358 12676 13015 1814 12090 12389 2709 13050 11841 1.2119 12420 12743 -0.9 -0.8 -0.7 -0.6 -0.5 13085 13121 13483 3859 1.4247 4641 3156 13520 13897 44286 14681 13192 1.3557 1.3936 14325 4721 3228 13594 13974 4264 14761 13264 13632 14013 4404 4001 1.2300 23669 14052 4443 14840 3336 3707 14090 143 4880 3372 3745 14129 14522 4920 13409 13783 4168 14562 14960 13446 13821 4207 44602 5000 -0.4 -0.3 -0.2 -0.1 -0.0 N 1.00 .01 1.02 1.03 104 1.05 1.06 1.07 1.08 1.09 0 11 2 15000 15398 5793 .6179 16554 15040 1.5438 1.5832 16217 1.6591 15080 15478 15871 16255 1.6628 5120 15517 1.5910 .6293 1.6664 1.5160 15557 1.5948 1.6331 1.6700 15199 5596 15987 16368 1.6736 15239 1.5636 1.6026 1.6406 1.6772 15279 15675 .6064 .6443 16808 1.5319 15714 1.6103 .6480 16844 5359 15753 16141 16517 .6879 3 4 5 6 7 .8 19 1.6915 17257 17580 17881 18159 16950 1.7291 1.7611 17910 8186 16985 1.7324 1.7642 17939 1.8212 1.7019 1.7357 1.7673 1.7967 18238 17054 7389 17703 17995 18264 17088 17422 17734 18023 1.8289 7123 7454 1.7764 1.8051 1.8315 7157 17486 7794 .8078 1.8340 7190 1.7517 17823 18106 18865 1.7224 1.7549 7852 1.8133 1.8389 1.0 11 1.2 1.3 1.4 18413 18643 18849 19032 19192 18438 1.8665 18869 1.9049 19207 1.8461 18686 18888 19066 19222 18485 18708 1.8907 1.9082 19236 18508 18729 1.8925 1.9099 19251 18531 18749 1.8944 19115 1.9265 18554 1.8770 1.8962 19131 19279 1.8577 18790 18980 19147 19292 1.8599 18810 18997 19162 1.9306 18621 18830 19015 19177 19319 1.5 1.6 1.7 1.8 1.9 1.9332 19452 19554 19641 19713 1.9345 19463 19564 19649 9719 19357 19474 19573 19656 19726 19370 19484 1.9582 19664 19732 19382 19495 19591 19671 19738 19394 19505 19599 19678 19744 1.9406 19515 19608 19686 1.9750 19418 19525 19616 19693 19756 19429 1.9535 19625 19699 19761 19441 1.9545 19633 19706 19767 1.9772 19821 2.0 2.1 22 2.3 2.4 19861 19778 19826 19864 1.9896 19920 19783 19830 19868 19898 19922 19788 19834 19871 19901 19925 19793 19838 19875 19904 19927 19798 19842 1.9878 19906 19929 19803 19846 1.9881 19909 19931 19808 19850 19884 19911 19932 19812 19854 19887 19913 19934 19817 19857 19890 19916 19936 19893 1.9918 25 2.6 27 2.8 2.9 1.9938 1.9953 19965 1.9974 19981 19940 19955 19966 19975 19982 19941 19956 19967 19976 19982 1.9943 1.9957 19968 1.9977 19983 19945 19959 19969 19977 19984 19946 19960 19970 19978 19984 19948 19961 19971 19979 19985 19949 19962 19972 19979 19985 19951 19963 19973 19980 19986 19952 19964 19974 19981 19986 3.0 3.1 3.2 3.3 3.4 19987 19990 19993 1.9995 1.9997 19987 19991 19993 19995 19997 19987 19991 19994 19995 19997 1.9988 19991 19994 19996 19997 19988 19992 19994 19996 19997 19989 19992 19994 19996 19997 19989 19992 19994 19996 1.9997 19989 19992 19995 19996 19997 19990 19993 19995 19996 9997 19990 19993 19995 19997 19998