Same problem statement: Weekly demand for DVD-Rs at a retailer is normally distributed with a mean of 1,000 boxes and a standard deviation of 150. Currently, the store places orders to the supplier, with a reorder point of 4,200 boxes. The order quantity to the supplier is fixed at 5,000 boxes. Replenishment lead time is 4 weeks, fixed order cost per order is $100, each box costs the retailer $10, and the inventory holding cost is 25% per year. If the retailer wants to achieve a 99% service level (use the z-value with one decimal, as in Table 13.4 of the textbook), what should be the safety stock value? Numeric Response Z F(z) I(z) -4.0 -1.3 1.4367 -3.9 .0968 .1151 .1357 1.4 1.5 -1.2 I(z) .0455 .0561 .0686 .0833 1.5293 1.6232 -3.8 -1.1 1.6 Fiz) .9192 .9332 9452 .9554 .9641 9713 .9772 -3.7 -1.0 .1587 1.7 F(z) .0000 .0000 .0001 .0001 .0002 .0002 .0003 .0005 .0007 1.7183 -3.6 -0.9 1841 . 1004 1.8 1.8143 -3.5 -0.8 .2119 .1202 1.9 1.9111 -3.4 -0.7 .2420 .1429 2.0 2.0085 2.1065 -3.3 -0.6 .2743 . 1687 2.1 .9821 -3.2 -0.5 3085 .1978 22 2.2049 -3.1 .0010 -0.4 .3446 .2304 2.3 2.3037 -3.0 -0.3 .3821 .2668 2.4 2.4027 2.5020 -2.9 I(z) .0000 .0000 .0000 .0000 .0000 .0001 .0001 .0001 .0002 .0003 .0004 .0005 .0008 .0011 .0015 .0020 .0027 .0037 .0049 .0065 .0085 .0111 .0143 .0183 -0.2 .4207 .3069 .0013 .0019 .0026 .0035 2.5 -2.8 -0.1 .3509 .3989 4602 .5000 .5398 2.6 2.7 -2.7 . 2.6015 2.7011 2.8008 -2.6 .0047 .1 .4509 2.8 -2.5 .2 .5793 .5069 2.9 2.9005 3.0004 -2.4 .3 .6179 .5668 3.0 .9861 .9893 .9918 .9938 19953 .9965 .9974 .9981 .9987 .9990 .9993 .9995 .9997 .9998 .9998 .9999 .9999 -2.3 4 .6554 .6304 3.1 ,0062 .0082 .0107 .0139 .0179 .0228 3.1003 -2.2 .5 .6915 .6978 3.2 3.2002 3.3001 -2.1 .6 .7257 3.3 .7687 .8429 -2.0 .7 .7580 3.4 3.4001 -1.9 0287 .8 .7881 .9202 3.5 -1.8 0359 .9 .8159 3.6 1.0004 1.0833 3.5001 3.6000 3.7000 -1.7 .0446 1.0 .8413 3.7 -1.6 0548 1.1 .8643 1.1686 3.8 3.8000 -1.5 .0668 .0232 .0293 .0367 1.2 .8849 1.2561 3.9 1.0000 3.9000 -1.4 .0808 1.3 .9032 1.3455 4.0 1.0000 4.0000