Question: -3.9 TABLE 14.1 The Distribution Function, F(z), and the Inventory Function, A(z), for the Standard Normal Distribution Function 2 F(z) iz) Z Fiz) I(z) -4.0

-3.9 TABLE 14.1 The Distribution Function, F(z),

-3.9 TABLE 14.1 The Distribution Function, F(z), and the Inventory Function, A(z), for the Standard Normal Distribution Function 2 F(z) iz) Z Fiz) I(z) -4.0 .0000 0.0000 0.1 5398 0.4509 .0000 0.0000 02 5793 0.5069 -3.8 0001 0.0000 03 .6179 0.5668 -3.7 .0001 0.0000 0.4 .6554 0.6304 -3.6 .0002 0.0000 0.5 .6915 0.6978 -3.5 .0002 0.0001 0.6 .7257 0.7687 -3.4 .0003 0.0001 0.7 .7580 0.8429 -3.3 .0005 0.0001 0.8 .7881 0.9202 -3.2 0007 0.0002 0.9 8159 1.0004 -3.1 .0010 0.0003 1.0 .8413 1.0833 -3.0 .0013 0.0004 1.1 8643 1.1686 -2.9 .0019 0.0005 1.2 8849 1.2561 -2.8 0026 0.0008 1.3 9032 1.3455 -2.7 .0035 0.0011 1.4 9192 1.4367 -2.6 .0047 0.0015 1.5 .9332 1.5293 -2.5 0062 0.0020 1.6 9452 1.6232 -2.4 0082 0.0027 1.7 9554 1.7183 -2.3 0107 0.0037 1.8 9641 1.8143 -2.2 0139 0.0049 1.9 9713 1.9111 -2.1 0179 0.0065 2.0 .9772 2.0085 -2.0 .0228 0.0085 2.1 9821 2.1065 -1.9 0287 22 9861 2.2049 - 1.8 1.0 0.0143 9893 2.3037 -1.7 0446 0.0183 2.4 9918 2.4027 -1.6 0.0232 2.5 9938 2.5020 -1.5 03 .0668 0.0293 2.6 9953 2.6015 -1.4 0808 0.0367 2.7 9965 2.7011 0966 0.0455 2.8 9974 2.8008 -1.2 . 1151 0.0561 2.9 9981 2.9005 - 1.1 1357 0.0686 3.0 9987 3.0004 - 1.0 1587 0.0833 3.1 .9990 3.1003 .1841 0.1004 3.2 9993 3.2002 -0.8 2119 0.1202 3.3 9995 3.3001 -0.7 2420 0.1429 3.4 9997 3.4001 -0.6 2743 0.1687 3.5 9998 3.5001 -0.5 3085 0.1978 3.6 .9998 3.6000 -0.4 .3446 0.2304 3.7 9999 3.7000 -0.3 .3821 0.2668 3.8 9999 3.8000 -0.2 .4207 0.3069 3.9 1.0000 3.9000 -0.1 .4602 0.3509 4.0 1.0000 4.0000 0.0 5000 0.3989 0.0111 0359 23 0548 -1.3 -0.9 PA 14-9 (Algo) Shelf space in the grocery business is a... Use Table 14.1. Shelf space in the grocery business is a valuable asset. Every good supermarket spends a sig cant amount of effort attempting to determine the optimal shelf space allocation across products. Many factors are relevant to this decision: the profitability of each product, the size of each product, the demand characteristics of each product, etc. Southern Fresh sells Jalapeno Spicy Hot Bull corn chips, a local favorite. Daily demand for this product is normally distributed with a mean of 4 bags. Replenishment orders are made daily and are received 1 day later. The standard deviation of demand over (L+1) periods is 2.8284 bags. (Round your answer to 1 decimal place. Use the Normal distribution and Table 14.1. Use the round-up rule with Table 14.1.) a. Suppose an order-up-to level of 11 is used. What is the expected on-hand inventory? (Round your answer to 1 decimal place. Use the Normal distribution.) b. Suppose an order-up-to level of 14 is used. What is the expected on-order inventory? (Round your answer to 4 decimal places. Use the Normal distribution and Table 14.1. Use the round-up rule with Table 14.1.) c. Suppose an order-up-to level 15 is used. What is the in-stock probability? (Round your answer to 4 decimal places. Use the Normal distribution and Table 14.1. Use the round-up rule with Table 14.1.) d. Suppose an order-up-to level of 13 is used. What is the stockout probability? (Round your answer to the nearest integer. Use the Normal distribution and Table 14.1. Use the round-up rule with Table 14.1.) Southern Fresh has decided to make a policy that every product will receive enough shelf space to ensure a 0.92 in-stock probability. What should the order up-to level be? e

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