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Use Table 14.1. You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-find spices. Consider your inventory of saffron, a spice

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed Use Table 14.1. You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-find spices. Consider your inventory of saffron, a spice (generally) worth more by weight than gold. You order saffron from an overseas supplier with a shipping lead time of four weeks and you order weekly. Average weekly demand is normally distributed with a mean of 40 ounces and a standard deviation of 30 ounces. a. Suppose it uses an order-up-to level of 301 ounces. What is its expected on-hand inventory? Note: Use Table 14.1. Round your calculated z value to the nearest 0.1 increment. Round your answer to the nearest integer. b. Suppose it uses an order-up-to level of 250 ounces. What is its expected on-order inventory? Note: Round your answer to the nearest integer. c. Suppose it uses an order-up-to level of 368 ounces. What is its in-stock probability? Note: Use Table 14.1. Round your calculated z value to the nearest 0.1 increment. Round your answer to 4 decimal places. d. Suppose it wants a 0.96 in-stock probability. What should its order-up-to level be? Note: Use Table 14.1. Choose the z value with a cumulative probability AT LEAST as high as the required in-stock probability (e.g., if in-stock probability is 0.92 , use z=1.5 instead of z=1.4 ). Round your answer to the nearest integer. The Distribution Function, F(z), and the Inventory I(Z), for the Standard Normal Distribution Function \begin{tabular}{|c|c|c|} \hline-1.2 & 0.1151 & 0.0561 \\ \hline-1.1 & 0.1357 & 0.0686 \\ \hline-1.0 & 0.1587 & 0.0833 \\ \hline-0.9 & 0.1841 & 0.1004 \\ \hline-0.8 & 0.2119 & 0.1202 \\ \hline-0.7 & 0.2420 & 0.1429 \\ \hline-0.6 & 0.2743 & 0.1687 \\ \hline-0.5 & 0.3085 & 0.1978 \\ \hline-0.4 & 0.3446 & 0.2304 \\ \hline-0.3 & 0.3821 & 0.2668 \\ \hline-0.2 & 0.4207 & 0.3069 \\ \hline-0.1 & 0.4602 & 0.3509 \\ \hline 0.0 & 0.5000 & 0.3989 \\ \hline 0.1 & 0.5398 & 0.4509 \\ \hline 0.2 & 0.5793 & 0.5069 \\ \hline 0.3 & 0.6179 & 0.5668 \\ \hline 0.4 & 0.6554 & 0.6304 \\ \hline 0.5 & 0.6915 & 0.6978 \\ \hline 0.6 & 0.7257 & 0.7687 \\ \hline 0.7 & 0.7580 & 0.8429 \\ \hline 0.8 & 0.7881 & 0.9202 \\ \hline 0.9 & 0.8159 & 1.0004 \\ \hline 1.0 & 0.8413 & 1.0833 \\ \hline 1.1 & 0.8643 & 1.1686 \\ \hline 1.2 & 0.8849 & 1.2561 \\ \hline 1.3 & 0.9032 & 1.3455 \\ \hline 1.4 & 0.9192 & 1.4367 \\ \hline 1.5 & 0.9332 & 1.5293 \\ \hline 1.6 & 0.9452 & 1.6232 \\ \hline 1.7 & 0.9554 & 1.7183 \\ \hline 1.8 & 0.9641 & 1.8143 \\ \hline 1.9 & 0.9713 & 1.9111 \\ \hline \end{tabular} \begin{tabular}{|l|l|l|} \hline 2.0 & 0.9772 & 2.0085 \\ \hline 2.1 & 0.9821 & 2.1065 \\ \hline 2.2 & 0.9861 & 2.2049 \\ \hline 2.3 & 0.9893 & 2.3037 \\ \hline 2.4 & 0.9918 & 2.4027 \\ \hline 2.6 & 0.9953 & 2.6015 \\ \hline 2.7 & 0.9965 & 2.7011 \\ \hline 2.8 & 0.9974 & 2.8008 \\ \hline 2.9 & 0.9981 & 2.9005 \\ \hline 3.0 & 0.9987 & 3.0004 \\ \hline 3.1 & 0.9990 & 3.1003 \\ \hline 3.2 & 0.9993 & 3.2002 \\ \hline 3.3 & 0.9995 & 3.3001 \\ \hline 3.4 & 0.9997 & 3.4001 \\ \hline 3.5 & 0.9998 & 3.5001 \\ \hline 3.6 & 0.9998 & 3.6000 \\ \hline 3.7 & 0.9999 & 3.7000 \\ \hline 3.8 & 0.9999 & 3.8000 \\ \hline 3.9 & 1.0000 & 3.9000 \\ \hline 4.0 & 1.0000 & 4.0000 \\ \hline \end{tabular}

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