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In a P system, the lead time for a box of weed-killer is three weeks and the review period is one week. Demand during the protection interval averages 217 boxes, with a standard deviation of demand during the protection interval of 40 boxes. a. What is the cycle-service level when the target inventory is set at 350 boxes? Refer to the standard normal table as needed. The cycle-service level is 99.96 %. (Enter your response rounded to two decimal places.) b. In the fall season, demand for weed-killer decreases but also becomes more highly variable. Assume that during the fall season, demand during the protection interval is expected to decrease to 170 boxes, but with a standard deviation of demand during the protection interval of 60 boxes. What would be the cycle-service level if management keeps the target inventory level set at 350 boxes? Refer to the standard normal table as needed. The cycle-service level would be %. (Enter your response rounded to two decimal places.) The table below shows the total area under the normal curve for a point that is Z standard deviations to the right of the mean. z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 24 2.6 2.6 2.7 2.8 2.9 3.0 351 3.2 33 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.50000.5040 0.50800.5120 0.51600.5199 0.5239 0.5279 0.5319 0.5359 0.5398 0.5438 0.5478 0.5517 0.55570.5596 0.5636 0.5675 0.5714 0.5754 0.57930.58320.58710.59100.5948 0.59870.60260.60640.61030.6141 0.61790.6217 0.6255 0.6293 0.6331 0.6368 0.64060.6443 0.6480 0.6517 0.65540.65910.6628 0.66640.6700 0.6736 0.67720.6808 0.68440.6879 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.71570.7190 0.7224 0.7258 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.75180.7549 0.7580 0.7612 0.7642 0.76730.77040.77340.7764 0.77940.78230.7852 0.78810.79100.7939 0.7967 0.7996 0.80230.80510.8079 0.8106 0.8133 0.81590.8186 0.8212 0.8238 0.82640.8289 0.8315 0.8340 0.8365 0.8389 0.84130.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.85770.8599 0.8621 0.86430.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.88100.8830 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.89620.8980 0.8997 0.9015 0.9032 0.9049 0.9066 0.9082 0.9099 0.91150.91310.9147 0.91620.9177 0.91920.92070.9222 0.9236 0.9251 0.9265 0.92790.92920.9306 0.9319 0.93320.93450.93570.93700.93820.9394 0.94060.94180.9430 0.9441 0.9452 0.9463 0.9474 0.9485 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.95640.95730.9582 0.95910.9599 0.9608 0.96160.9625 0.9633 0.96410.96490.96560.96640.96710.9678 0.96860.96930.9700 0.9706 0.97130.9719 0.9726 0.97320.9738 0.9744 0.9750 0.97560.9762 0.9767 0.9772 0.97780.97830.9788 0.9793 0.9798 0.98030.9808 0.98120.9817 0.98210.98260.9830 0.98340.98380.98420.98460.9850 0.98540.9857 0.98610.98650.98680.9871 0.98750.9878 0.9881 0.9884 0.9887 0.9890 0.9893 0.98960.9898 0.99010.99040.9906 0.9909 0.99110.99130.9916 0.9918 0.99200.99220.9925 0.99270.99290.9931 0.99320.99340.9936 0.9938 0.9940 0.99410.9943 0.9946 0.9946 0.9948 0.99400.99610.9952 0.99530.9955 0.9956 0.9957 0.9959 0.9900 0.99610.99620.99630.9964 0.90650.99660.90670.996B0.99800.99700.90710.9972 10.097370.9074 0.9974 0.9975 0.9970 0.9977 0.9977 0.9978 0.9979 0.99800.99800.9981 0.9981 0.99820.99830.99830.9084 0.9984 0.9985 0.9985 0.9986 0.0986 0.9087 0.99870.99870.9988 0.9988 0.99890.99890.99890.99900.9990 0.99900 99910.9901 0.99910.0002 0.0002 0.99920.90920.99930.0993 0.9993 0.9993 0.99940.99940.99940.99940.99940.9995 0.9995 0.9995 0.0096 0.999509095 0.9995 0.99960.99960.99900.0006 0.0006 0.9997