Please solve and show your workl

In a P system, the lead time for a box of weed-killer is two weeks and the review period is one week. Demand during the protection interval averages 250 boxes, with a standard deviation of 40 boxes. a. What is the cycle-service level when the target inventory is set at 300 boxes? Refer to the standard normal table as needed. The cycle-service level is 89.44 %. (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 210 boxes, but with a standard deviation of 50 bo What would be the cycle-service level if management keeps the target inventory level set at 300 boxes? Refer to the standard normal table as needed. The cycle-service level would be 96.41 %. (Enter your response rounded to two decimal places.) 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 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 0.5557 0.5596 0.5636 0.5675 0.5714 0.5754 0.5793 0.58320.58710.5910 0.5948 0.59870.6026 0.6064 0.6103 0.6141 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 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 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7881 0.79100.7939 0.7967 0.7996 0.8023 0.8051 0.8079 0.8106 0.8133 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.8413 0.8438 0.8461 0.84850.8508 0.8531 0.8554 0.85770.8599 0.8621 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 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 0.9115 0.91310.9147 0.9162 0.9177 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9332 0.0345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9430 0.9441 0.9452 0.9463 0.9474 0.9485 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9700 0.9706 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9762 0.9767 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.98030.9808 0.9812 0.9817 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 0.9861 0.9865 0.9868 0.9871 0.98750.9878 0.9881 0.9884 0.9887 0.9890 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.99130.9916 0.9918 0.99200.9922 0.9925 0.9927 0.9929 0.9931 0.99320.9934 0.9936 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 0.9953 0.9955 0.9956 0.99570.99590.9960 0.99610.99620.9963 0.9964 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.99800.9980 0.9981 0.9981 0.99820.9983 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.3 2.4 2.5 2.6 2.7 2.8 2.9