Given this information: Expected demand during lead time = 345 units Standard deviation of lead time demand = 44 units Use Table. Determine each of the following, assuming that lead time demand is distributed normally: a. The ROP that will provide a risk of stockout of 1 percent during lead time. (Round your answer to the nearest whole number.) ROP units b. The safety stock needed to attain a 1 percent risk of stockout during lead time (Do not round intermediate calculations. Round

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Given this information:
Expected demand during lead time = 345 units
Standard deviation of lead time demand = 44 units
Use Table.
Determine each of the following, assuming that lead time demand is distributed normally:
a. The ROP that will provide a risk of stockout of 1 percent during lead time. (Round your answer to the nearest whole number.)
ROP
units
b. The safety stock needed to attain a 1 percent risk of stockout during lead time. (Do not round intermediate calculations. Round
your answer to the nearest whole number.)
Safety stock
units
Transcribed Image Text:Given this information: Expected demand during lead time = 345 units Standard deviation of lead time demand = 44 units Use Table. Determine each of the following, assuming that lead time demand is distributed normally: a. The ROP that will provide a risk of stockout of 1 percent during lead time. (Round your answer to the nearest whole number.) ROP units b. The safety stock needed to attain a 1 percent risk of stockout during lead time. (Do not round intermediate calculations. Round your answer to the nearest whole number.) Safety stock units
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0
.5000
.5040
.5080
5120
.5160
.5199
.5239
5279
.5319
.5359
.1
5398
.5438
.5478
.5517
.5557
.5596
.5636
5675
.5714
.5753
.2
.5793
.5832
.5871
5910
.5948
.5987
.6026
.6064
.6103
.6141
.3
.6179
.6217
.6255
.6293
.6331
.6368
.6406
.6443
.6480
.6517
4
.6554
.6591
.6628
.6664
.6700
.6736
6772
.6808
.6844
.6879
.5
.6915
.6950
.6985
7019
.7054
.7088
.7123
.7157
.7190
.7224
.6
.7257
.7291
.7324
7357
.7389
.7422
.7454
7486
.7517
.7549
.7
7580
.7611
.7642
7673
.7703
.7734
.7764
7794
.7823
.7852
.8
7881
.7910
.7939
7967
.7995
.8023
8051
.8078
.8106
.8133
.9
.8159
.8186
.8212
.8238
.8264
8289
.8315
.8340
8365
.8389
1.0
8413
.8438
.8461
.8485
.8508
.8531
8554
.8577
8599
.8621
1.1
8643
.8665
.8686
.8708
8729
.8749
.8770
.8790
.8810
.8830
1.2
.8849
.8869
.8888
8907
8925
.8944
.8962
.8980
8997
.9015
1.3
.9032
.9049
.9066
.9082
.9099
.9115
.9131
.9147
.9162
.9177
1.4
.9192
.9207
.9222
.9236
.9251
.9265
.9279
.9292
.9306
.9319
.9441
.9545
1.5
.9332
.9345
.9357
.9370
.9382
.9394
.9406
.9418
.9429
1.6
9452
.9463
.9474
.9484
.9495
.9505
.9515
.9525
.9535
1.7
.9554
.9564
.9573
.9582
9591
.9599
.9608
.9616
.9625
.9633
1.8
.9641
.9649
.9656
.9664
.9671
.9678
.9686
.9693
.9699
.9706
1.9
.9713
.9719
.9726
.9732
.9738
.9744
.9750
.9756
.9761
.9767
2.0
.9772
.9778
.9783
.9788
.9793
.9798
.9803
.9808
.9812
.9817
2.1
.9821
.9826
.9830
.9834
.9838
.9842
.9846
.9850
.9854
.9857
2.2
.9861
.9864
.9868
.9871
.9875
.9878
.9881
.9884
.9887
.9890
2.3
.9893
.9896
.9898
.9901
.9904
.9906
.9909
.9911
.9913
.9916
2.4
.9918
.9920
.9922
.9925
.9927
.9929
.9931
.9932
.9934
.9936
2.5
.9938
.9940
.9941
.9943
.9945
.9946
.9948
.9949
.9951
.9952
2.6
.9953
.9955
.9956
.9957
.9959
.9960
.9961
.9962
.9963
.9964
2.7
.9965
.9966
.9967
.9968
.9969
.9970
.9971
.9972
.9973
.9974
2.8
.9974
.9975
.9976
.9977
.9977
.9978
.9979
.9979
.9980
.9981
2.9
.9981
.9982
.9982
.9983
.9984
.9984
.9985
.9985
.9986
.9986
3.0
.9987
.9987
.9987
.9988
.9988
.9989
.9989
.9989
.9990
.9990
3.1
.9990
.9991
.9991
.9991
.9992
.9992
.9992
.9992
.9993
.9993
3.2
.9993
.9993
.9994
.9994
.9994
.9994
.9994
.9995
.9995
.9995
3.3
.9995
.9995
.9995
.9996
.9996
.9996
.9996
.9996
.9996
.9997
3.4
.9997
.9997
9997
.9997
.9997
.9997
.9997
.9997
.9997
.9998
Transcribed Image Text:.00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .5000 .5040 .5080 5120 .5160 .5199 .5239 5279 .5319 .5359 .1 5398 .5438 .5478 .5517 .5557 .5596 .5636 5675 .5714 .5753 .2 .5793 .5832 .5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 .3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 4 .6554 .6591 .6628 .6664 .6700 .6736 6772 .6808 .6844 .6879 .5 .6915 .6950 .6985 7019 .7054 .7088 .7123 .7157 .7190 .7224 .6 .7257 .7291 .7324 7357 .7389 .7422 .7454 7486 .7517 .7549 .7 7580 .7611 .7642 7673 .7703 .7734 .7764 7794 .7823 .7852 .8 7881 .7910 .7939 7967 .7995 .8023 8051 .8078 .8106 .8133 .9 .8159 .8186 .8212 .8238 .8264 8289 .8315 .8340 8365 .8389 1.0 8413 .8438 .8461 .8485 .8508 .8531 8554 .8577 8599 .8621 1.1 8643 .8665 .8686 .8708 8729 .8749 .8770 .8790 .8810 .8830 1.2 .8849 .8869 .8888 8907 8925 .8944 .8962 .8980 8997 .9015 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 .9441 .9545 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 1.6 9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 1.7 .9554 .9564 .9573 .9582 9591 .9599 .9608 .9616 .9625 .9633 1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997 3.4 .9997 .9997 9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998
Expert Solution
Step 1

Reorder point refers to the level of inventory on hand that triggers the company to order more inventory.

Safety stock refers to extra stock that is maintained by the company to prevent the risk of stockouts.

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