Question 22 (10 points) Continued from the previous question Bass-killer, a special plastic bait, is available at the Winona Fishing Cabin(WFC) at, $10 per bag. The demand can be approximated by a normal distribution with a mean of 21 bags per week and a standard deviation of 3.4 bags per week. Lead time is 3 weeks, and there will be shipping cost $50 for each order. The new manager desires a chance of stockout of 5% or lower, and estimates the annual inventory holding cost is 20% of sales price. Assume 1 year = 50 weeks. Suppose the manager is using the ROP described in part b). One day, the manager receives a call from the supplier that the order will be delayed because of problem at the supplier's truck. The supplier promises to have the order there in 2 weeks from now. After hanging up, the manager checks the supply of Bass-killer and finds that 25 bags have been sold since the previous order was placed. Assuming the suppliers promise is valid, what is the probability that WFC will run out of Bass-killer before the shipment arrives? (round to the nearest hundredth, for z value) L / ft:1:28:51 Brady Borkowski: Attempt 1 Cumulative probabilities for POSITIVE 2-values are shown in the following table: 0.0 0.1 0.000.010.02 0.03 0.04 0.050.060.070.08 0.09 0.50000.50400,6O80 0.5120 0.51600,519 0.5239 0.279 0390539 0.53980.5438 0.54780.5517 0.55570,65960,56360,6675 0.714 0.5753 0.5793 0.5832 0.58710.59100,59480,59870.6026 0.6064 0.6103 0.6141 | 0.6179 0.6217 0.6255 0.62B30,63310.63680.64060.6443 0.6480 0.6517 0.6554 0.6591 0.66280,66640,6700 0.6736 0.6772 0.6808 | 0.6844 0.6879 02 0.4 . 0.6 0.1 0.69150.6950 0.6985 0.7257 0.7291 0.7324 0.75800.76110,7642 0.7881 0.79100.7939 0,8159 0.81 86 0.8212 0.7019 0.705 0.7357 0.7389 0.76730,7704 0.7967 0.7995 0.823B 0.8264 0.70880.1230.11570.90 0.7224 0.7422 0.74A 0.7486 0.75170.7549 0.734 0.7764 0.178 0.7823 0.7852 0.80230,8051 0.8078 0.81060.8133 0.8289 0.8315 0.8340 0.8365 0.8389 0.5 0. 1.0 12 0.84130,84380,84610.8485 0.850B 0.85310,85540,8577 0.8599 0.8621 | 0.8643 0.86650.8686 0.87080.87290.8749 0.8770 0.87900,8810 0.8830 0.8B490,88690.88880.89070,8925 0.8944 0.8962 0.8980 0.89970.9015 0.9032 0.90490.9066 0.9082 0.90990.91150.91310.91470,9162 0.917 0,9192092070.9222 0.92360.9251 0.9265 0.92790.92920,93060.9319 13 14 1.5 1.6 1. 1.8 1.9 | 0.9332 0.93450,9357 0.9370 | 0,9382 | 0,934 0.9406 0.9180,9429 0.M41 | 0.9452 0. 963 0.9474 0.9484 0.9495 0.9505 0.95150.9525 0.9535 0.9545 | 0.9554 0.95640,9573 | 0.9582 0.9591 0.95990.96080.9616 0.9625 0.9633 | 0.96410,96490,965609664 096710,96780,96860,96930,96990.9706 ,97130 ,67190 ,97260 ,97320,97380 ,9744 0.97500.97660.9761 | 0.9767 1.) 2.2 23 | 0.9772 0,97760,97830,97880 ,97930,97980 ,98030,988 0.9812 | 0.981 0,9821 0.9826 0.9830 0.9834 0.98380,9842 | 0.98480.9860 0.984 0.9857 b 098 65650 GB 485 0,9878 | 0,9881 0.9884 0.98870,9890 | 0.98930,98960,98980.9901 _0.99O40,9606 | 0.99090.9911 0.99130.9916 | 0.99180.9920 0.9922 0.9925 0.9927 | 0.9829 0.99310,99320,99340,9936 2. # | 0.9838 0.9940 0.90410,9043 0.99$ 0.95460,98480,90490.9951 0.9952 0.9953 0 99550,99560,987 0.99590.9960 0.6061 0.9962 0.99630,9964 0.965 0.99660,9967 0.99680.99690.99700,9970.6072 .9973 0.9974 0.99740.9975 0.99760 ,9970.9977 0.90780.99790.99790.9980 0.9981 0.9981.0.9982 0.99820,9983 0.99840.99840.9985 0.9985 0.99860.9986 # # 3.1 0.99870.998709987 0988099880,9989 0.9989 0.9989 0.9990 0.9990 0.9300 0.9391 0.9991 0.9991 0.99920,99920 999 0.9992 0.99$ 3 0.9993 0.9363 0.99$ 30 .9994 0.99$ 4 0.9990.9994 0.99$ 4 0.99950.99950.9995 0.33350,9335 0.8385 0.9060.99060.996 0.9996 0.99$ 6 0.9996 0.9997 0.88070.99970.99970.907 0.98970.99970.99970.99970.99970 9996