Question: Check my work One item a computer store sells is supplied by a vendor who handles only that item. Demand for that item recently changed,

Check my work One item a computer store sells is supplied by a vendor who handles only that item. Demand for that item recently changed, and the store manager must determine when to replenish it. The manager wants a probability of at least 96 percent of not having a stockout during lead time. The manager expects demand to average a dozen units a day and have a standard deviation of two units a day. Lead time is variable, averaging four days with a standard deviation of one day. Assume normality and that seasonality is not a factor. Use Table a. When should the manager reorder to achieve the desired probability? (Round your intermediate calculations and final answer to 2 decimal places.) ROP N .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0 .1 .2 3 .4 5000 5398 5793 .6179 .6554 5040 .5438 .5832 .6217 .6591 5080 .5478 5871 .6255 .6628 5120 5517 5910 .6283 6664 5160 :5557 .5949 .6331 .6700 .5199 .5596 .5987 .6368 .6736 5239 5636 6026 6406 .6772 5279 5675 5064 6443 6808 .5319 -5714 6103 6480 6844 .5359 .5753 .6141 .6517 .6879 6915 .7257 .7580 .7881 .8159 6950 .7291 7611 .7910 .8186 .6985 .7324 .7642 .7939 .8212 .7019 .7357 7673 7967 .8238 .7054 .7389 .7703 .7995 .8264 .7088 .7422 .7734 8023 .8289 .7123 .7454 .7764 8051 8315 7157 7486 7794 8078 8340 .7190 .7517 .7823 .8106 8365 .7224 .7549 .7852 .8133 .8389 1.0 1.1 1.2 1.3 1.4 8413 .8643 8849 .9032 9192 ,8438 .8665 .8869 .9049 .9207 .8461 8686 .8888 .9066 .9222 8485 .8708 .8907 9082 9236 .8508 8729 .8925 .9099 9251 .8531 .8749 .8944 .9115 .9265 .8554 .8770 8962 9131 .9279 8577 8790 8980 .9147 .9292 8599 8810 8997 9162 9306 .8621 8830 9015 .9177 .9319 1.5 9406 9515 1.6 1.7 1.8 1.9 9332 9452 9554 9641 9713 .9345 .9463 9564 9649 9719 .9357 9474 9573 9656 9726 9370 9484 9582 9684 9732 9382 .9495 9591 .9671 9738 9394 .9505 .9599 9678 .9744 .9608 .9686 .9750 9418 .9525 9616 9693 9756 9429 9535 9625 .9699 9761 9441 9545 .9633 .9706 .9767 20 2.1 22 23 2.4 .9772 3821 9861 9893 .9918 .9778 9826 9864 9896 .9920 9783 9830 9868 9898 9922 9788 9834 9871 9901 9925 9793 9838 9875 9904 9927 9798 9842 9878 .9906 9929 9803 9846 9881 19909 9931 9808 9850 9884 9911 9932 9812 9854 9887 9913 9934 9817 9857 9890 .9916 .9936 2.5 2.6 9938 9953 .9940 9955 9941 9956 9943 9957 9945 9959 .9946 9960 9948 9961 9949 9962 19951 9952 -9963 9964 8:06 PM 5/18/2021 a .000 1.3 1.4 9032 .9192 9049 .9207 .9066 .9222 9082 9236 .000 .9099 .9251 .9115 .9265 8362 .9131 9279 380 9147 9292 8837 9162 9306 5015 9177 5019 1.5 1.6 1.7 1.8 1.9 9332 9452 9554 9641 9713 .9345 .9463 .9564 .9649 .9719 9357 .9474 ,9573 .9656 .9726 9370 .9484 .9582 .9664 9732 .9382 .9495 .9591 .9671 .9738 .9394 .9505 .9599 9678 .9744 9406 .9515 .9608 .9686 .9750 9418 -9525 9616 9693 9756 .9429 .9535 9625 9699 .9761 9441 .9545 .9633 .9706 .9767 20 21 2.2 23 2.4 9772 9821 9861 .9893 .9918 .9778 .9826 .9864 .9896 .9920 .9783 .9830 .9868 .9898 .9922 9788 .9834 .9871 .9901 .9925 .9793 .9838 .9875 .9904 .9927 .9798 .9842 .9878 .9906 .9929 9803 .9846 .9881 .9909 .9931 9808 9850 .9884 9911 .9932 .8812 .9854 .9887 .9913 .9934 .9817 .9857 9890 .9916 .9936 2948 2.5 2.6 2.7 2.8 2.9 .9938 .9953 9965 9974 9981 .9940 9955 .9966 19975 .9982 .9941 .9956 9967 .9976 .9982 .9943 .9957 19968 .9977 9983 .9945 .9959 .9969 .9977 9984 .9946 9960 .9970 .9978 9984 9961 .9971 9979 .9985 .9949 9962 9972 .9979 9985 9951 9963 .9973 9980 .9952 .9964 .9974 9981 9986 9866 0666 3.0 3.1 3.2 3.3 3.4 9987 9990 9993 .9995 9997 .9987 -9991 .9993 9995 .9997 9987 .9991 9994 9995 9997 .9988 9991 9994 9996 9997 9988 9992 9994 9996 .9997 9989 9992 9994 .9996 .9997 .9989 9992 9994 9996 9997 9989 9992 9995 .9996 9997 9993 .9995 9996 9997 9990 9993 9995 .9997 9998 + 100% a N 9 13) 8:06 PM SED b. Which of the following assumptions would be violated if seasonality were present? O Demand and lead time independence O Constant lead time O Constant demand

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