Question: TABLE 14.1 The Distribution Function, Rz), and the Inventory Function, 1z), for the Standard Normal Distribution Function Z Fiz) (z) -4.0 0000 0.0000 -3.9 0000

TABLE 14.1 The Distribution Function, Rz), and

TABLE 14.1 The Distribution Function, Rz), and the Inventory Function, 1z), for the Standard Normal Distribution Function Z Fiz) (z) -4.0 0000 0.0000 -3.9 0000 0.0000 -3.8 .0001 0.0000 0.0000 3.7 .0001 -3.6 .0002 0.0000 -3.5 .0002 0.0001 -3.4 .0003 0.0001 3.3 .0005 0.0001 -3.2 .0007 0.0002 0.0003 3.1 _0010 -3.0 .0013 0.0004 -2.9 .0019 0.0005 -2.8 .0026 0.0008 -2.7 .0035 0.0011 -2.6 .0047 0.0015 -2.5 .0062 0.0020 -2.4 .0082 0.0027 -2.3 .0107 0.0037 -2.2 0139 0.0049 2.1 .0179 0.0065 -2.0 0228 0.0085 -1.9 .0287 0.0111 -1.8 .0359 0.0143 -1.7 .0446 0.0183 -16 .0548 0.0232 -1.5 .0668 0.0293 -1.4 .0808 0.0367 -1.3 .0968 0.0455 -1.2 .1151 0.0561 -1.1 .1357 0.0686 -1.0 .1587 0.0833 -09 1841 0.1004 -08 2119 0.1202 07 2420 0.1429 -0.6 2743 0.1687 -05 3085 0.1978 -04 3446 02304 03 3821 02668 -02 4207 0.3069 0.1 4602 0.3509 0.0 5000 003989 01 5398 0.4509 02 5793 0.5069 03 6179 05668 04 6554 0.6304 05 6915 0.6978 06 7257 07687 07 7580 0.8429 08 7EB] 0.9202 09 8159 10004 10 B413 1.0833 11 18643 11686 12 8849 12561 13 9032 1.3455 14 9192 14367 1.5 9332 1.5293 16 9452 1.6232 17 9554 17183 1.8 9641 1.8143 19 19713 1.9111 20 972 2.0085 21 9821 2.1065 22 19861 2.2049 23 9893 2.3037 24 9918 24027 25 9938 2.5020 26 9953 2.6015 27 19965 2.7011 28 974 2.800g 28 9974 2.800g 29 9981 2.9005 3.0 9987 3.0004 31 9990 3.1003 32 9993 3.2002 33 9995 3.3001 34 9997 3.4001 3.5 9998 3.5001 36 9998 3.6000 3.7 9999 37000 3.8 9999 3.8000 39 1.0000 39000 4.0 1.0000 4.0000 Cyber Chemicals uses liquid nitrogen on a regular basis. Average daily demand is normally distributed with a mean of 184 gallons and a standard deviation of 47. Cyber operates Six days a week and orders from its supplier once each week. The supplier takes one week to deliver Cyber's order. a. Suppose an order-up-to level of 4000 is used. What is the average order quantity? Suppose an order-up-to level of 2460 is used. What is the expected on-hand inventory? b. Use Table 14.1 C. Suppose an order-up-to level of 2550 is used. What is the expected on-order inventory? (Round your answer to 4 decimal places.) Suppose an order-up-to level of 2694 is used. What is the in-stock probability? Use Table d. 14.1 (Round your answer to 4 decimal places.) Suppose an order-up-to level of 2425 is used. What is the stockout probability? Use Table 14.1 e. f. Suppose Cyber Chemicals wants a 0.935 in-stock probability. What should the order-up- to level be? Use Excel and round to nearest integer. TABLE 14.1 The Distribution Function, Rz), and the Inventory Function, 1z), for the Standard Normal Distribution Function Z Fiz) (z) -4.0 0000 0.0000 -3.9 0000 0.0000 -3.8 .0001 0.0000 0.0000 3.7 .0001 -3.6 .0002 0.0000 -3.5 .0002 0.0001 -3.4 .0003 0.0001 3.3 .0005 0.0001 -3.2 .0007 0.0002 0.0003 3.1 _0010 -3.0 .0013 0.0004 -2.9 .0019 0.0005 -2.8 .0026 0.0008 -2.7 .0035 0.0011 -2.6 .0047 0.0015 -2.5 .0062 0.0020 -2.4 .0082 0.0027 -2.3 .0107 0.0037 -2.2 0139 0.0049 2.1 .0179 0.0065 -2.0 0228 0.0085 -1.9 .0287 0.0111 -1.8 .0359 0.0143 -1.7 .0446 0.0183 -16 .0548 0.0232 -1.5 .0668 0.0293 -1.4 .0808 0.0367 -1.3 .0968 0.0455 -1.2 .1151 0.0561 -1.1 .1357 0.0686 -1.0 .1587 0.0833 -09 1841 0.1004 -08 2119 0.1202 07 2420 0.1429 -0.6 2743 0.1687 -05 3085 0.1978 -04 3446 02304 03 3821 02668 -02 4207 0.3069 0.1 4602 0.3509 0.0 5000 003989 01 5398 0.4509 02 5793 0.5069 03 6179 05668 04 6554 0.6304 05 6915 0.6978 06 7257 07687 07 7580 0.8429 08 7EB] 0.9202 09 8159 10004 10 B413 1.0833 11 18643 11686 12 8849 12561 13 9032 1.3455 14 9192 14367 1.5 9332 1.5293 16 9452 1.6232 17 9554 17183 1.8 9641 1.8143 19 19713 1.9111 20 972 2.0085 21 9821 2.1065 22 19861 2.2049 23 9893 2.3037 24 9918 24027 25 9938 2.5020 26 9953 2.6015 27 19965 2.7011 28 974 2.800g 28 9974 2.800g 29 9981 2.9005 3.0 9987 3.0004 31 9990 3.1003 32 9993 3.2002 33 9995 3.3001 34 9997 3.4001 3.5 9998 3.5001 36 9998 3.6000 3.7 9999 37000 3.8 9999 3.8000 39 1.0000 39000 4.0 1.0000 4.0000 Cyber Chemicals uses liquid nitrogen on a regular basis. Average daily demand is normally distributed with a mean of 184 gallons and a standard deviation of 47. Cyber operates Six days a week and orders from its supplier once each week. The supplier takes one week to deliver Cyber's order. a. Suppose an order-up-to level of 4000 is used. What is the average order quantity? Suppose an order-up-to level of 2460 is used. What is the expected on-hand inventory? b. Use Table 14.1 C. Suppose an order-up-to level of 2550 is used. What is the expected on-order inventory? (Round your answer to 4 decimal places.) Suppose an order-up-to level of 2694 is used. What is the in-stock probability? Use Table d. 14.1 (Round your answer to 4 decimal places.) Suppose an order-up-to level of 2425 is used. What is the stockout probability? Use Table 14.1 e. f. Suppose Cyber Chemicals wants a 0.935 in-stock probability. What should the order-up- to level be? Use Excel and round to nearest integer

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