Operation Management
bahanshla3
chapter_11_inventory_management_template.xlsEOQ and ROP
| EOQ and ReOrder Point | ||||
| This template can be used to calculate different values | ||||
| for an EOQ model. It can also be used for models involving | ||||
| stochastic demand patterns. | ||||
| INPUT: | ||||
| Annual Demand: D/year | D | 21900 | ||
| Cost per Unit | C | |||
| Inventory charge (% of unit cost) | i | |||
| Holding cost: H (if not given,H = i*C) | H | $0.50 | ||
| Ordering Cost | S | $10.00 | ||
| Length of year: N(months,weeks,days) | N | 365 | ||
| demand per (month,week,day) | d | 60 | ||
| Std. Deviation/(month,week,day) | σd | 7 | ||
| Lead TimeL L(months,weeks,days)) | L | 6 | ||
| Lead-time Standard Deviation: | σL | 17.15 | ||
| Service Level | P | 95% | ||
| Safety Stock(if given) | SS | 0 | ||
| OUTPUT: | ||||
| Optimal Order Quantity (Qopt) | = | 935 | ||
| Annual Inventory Holding Cost | = | $233.75 | ||
| Annual Ordering Cost | = | $234.22 | ||
| Annual Unit Cost | = | $0.00 | ||
| Total Cost | = | $467.97 | ||
| Safety Factor - z: (use E(z) & table below) | = | 1.64 | ||
| E(z) | = | 0.092 | ||
| Cycle Time - T(in days) | = | 15.58 | ||
| Number of Orders per year | = | 23 | ||
| Safety Stock | = | 28.1201422471 | ||
| Reorder Point, R | = | 388 | ||
| Expected Number Out of Stock versus Standard Deviation | ||||
| (Normalized to a Standard Deviation of 1) | ||||
| SL | z | E(z) | ||
| 0.0000 | -4.50 | 4.5000 | ||
| 0.0000 | -4.49 | 4.4900 | ||
| 0.0000 | -4.48 | 4.4800 | ||
| 0.0000 | -4.47 | 4.4700 | ||
| 0.0000 | -4.46 | 4.4600 | ||
| 0.0000 | -4.45 | 4.4500 | ||
| 0.0000 | -4.44 | 4.4400 | ||
| 0.0000 | -4.43 | 4.4300 | ||
| 0.0000 | -4.42 | 4.4200 | ||
| 0.0000 | -4.41 | 4.4100 | ||
| 0.0000 | -4.40 | 4.4000 | ||
| 0.0000 | -4.39 | 4.3900 | ||
| 0.0000 | -4.38 | 4.3800 | ||
| 0.0000 | -4.37 | 4.3700 | ||
| 0.0000 | -4.36 | 4.3600 | ||
| 0.0000 | -4.35 | 4.3500 | ||
| 0.0000 | -4.34 | 4.3400 | ||
| 0.0000 | -4.33 | 4.3300 | ||
| 0.0000 | -4.32 | 4.3200 | ||
| 0.0000 | -4.31 | 4.3100 | ||
| 0.0000 | -4.30 | 4.3000 | ||
| 0.0000 | -4.29 | 4.2900 | ||
| 0.0000 | -4.28 | 4.2800 | ||
| 0.0000 | -4.27 | 4.2700 | ||
| 0.0000 | -4.26 | 4.2600 | ||
| 0.0000 | -4.25 | 4.2500 | ||
| 0.0000 | -4.24 | 4.2400 | ||
| 0.0000 | -4.23 | 4.2300 | ||
| 0.0000 | -4.22 | 4.2200 | ||
| 0.0000 | -4.21 | 4.2100 | ||
| 0.0000 | -4.20 | 4.2000 | ||
| 0.0000 | -4.19 | 4.1900 | ||
| 0.0000 | -4.18 | 4.1800 | ||
| 0.0000 | -4.17 | 4.1700 | ||
| 0.0000 | -4.16 | 4.1600 | ||
| 0.0000 | -4.15 | 4.1500 | ||
| 0.0000 | -4.14 | 4.1400 | ||
| 0.0000 | -4.13 | 4.1300 | ||
| 0.0000 | -4.12 | 4.1200 | ||
| 0.0000 | -4.11 | 4.1100 | ||
| 0.0000 | -4.10 | 4.1000 | ||
| 0.0000 | -4.09 | 4.0900 | ||
| 0.0000 | -4.08 | 4.0800 | ||
| 0.0000 | -4.07 | 4.0700 | ||
| 0.0000 | -4.06 | 4.0600 | ||
| 0.0000 | -4.05 | 4.0500 | ||
| 0.0000 | -4.04 | 4.0400 | ||
| 0.0000 | -4.03 | 4.0300 | ||
| 0.0000 | -4.02 | 4.0200 | ||
| 0.0000 | -4.01 | 4.0100 | ||
| 0.0000 | -4.00 | 4.0000 | ||
| 0.0000 | -3.99 | 3.9900 | ||
| 0.0000 | -3.98 | 3.9800 | ||
| 0.0000 | -3.97 | 3.9700 | ||
| 0.0000 | -3.96 | 3.9600 | ||
| 0.0000 | -3.95 | 3.9500 | ||
| 0.0000 | -3.94 | 3.9400 | ||
| 0.0000 | -3.93 | 3.9300 | ||
| 0.0000 | -3.92 | 3.9200 | ||
| 0.0000 | -3.91 | 3.9100 | ||
| 0.0000 | -3.90 | 3.9000 | ||
| 0.0001 | -3.89 | 3.8900 | ||
| 0.0001 | -3.88 | 3.8800 | ||
| 0.0001 | -3.87 | 3.8700 | ||
| 0.0001 | -3.86 | 3.8600 | ||
| 0.0001 | -3.85 | 3.8500 | ||
| 0.0001 | -3.84 | 3.8400 | ||
| 0.0001 | -3.83 | 3.8300 | ||
| 0.0001 | -3.82 | 3.8200 | ||
| 0.0001 | -3.81 | 3.8100 | ||
| 0.0001 | -3.80 | 3.8000 | ||
| 0.0001 | -3.79 | 3.7900 | ||
| 0.0001 | -3.78 | 3.7800 | ||
| 0.0001 | -3.77 | 3.7700 | ||
| 0.0001 | -3.76 | 3.7600 | ||
| 0.0001 | -3.75 | 3.7500 | ||
| 0.0001 | -3.74 | 3.7400 | ||
| 0.0001 | -3.73 | 3.7300 | ||
| 0.0001 | -3.72 | 3.7200 | ||
| 0.0001 | -3.71 | 3.7100 | ||
| 0.0001 | -3.70 | 3.7000 | ||
| 0.0001 | -3.69 | 3.6900 | ||
| 0.0001 | -3.68 | 3.6800 | ||
| 0.0001 | -3.67 | 3.6700 | ||
| 0.0001 | -3.66 | 3.6600 | ||
| 0.0001 | -3.65 | 3.6500 | ||
| 0.0001 | -3.64 | 3.6400 | ||
| 0.0001 | -3.63 | 3.6300 | ||
| 0.0001 | -3.62 | 3.6200 | ||
| 0.0002 | -3.61 | 3.6100 | ||
| 0.0002 | -3.60 | 3.6000 | ||
| 0.0002 | -3.59 | 3.5900 | ||
| 0.0002 | -3.58 | 3.5800 | ||
| 0.0002 | -3.57 | 3.5700 | ||
| 0.0002 | -3.56 | 3.5600 | ||
| 0.0002 | -3.55 | 3.5500 | ||
| 0.0002 | -3.54 | 3.5400 | ||
| 0.0002 | -3.53 | 3.5301 | ||
| 0.0002 | -3.52 | 3.5201 | ||
| 0.0002 | -3.51 | 3.5101 | ||
| 0.0002 | -3.50 | 3.5001 | ||
| 0.0002 | -3.49 | 3.4901 | ||
| 0.0003 | -3.48 | 3.4801 | ||
| 0.0003 | -3.47 | 3.4701 | ||
| 0.0003 | -3.46 | 3.4601 | ||
| 0.0003 | -3.45 | 3.4501 | ||
| 0.0003 | -3.44 | 3.4401 | ||
| 0.0003 | -3.43 | 3.4301 | ||
| 0.0003 | -3.42 | 3.4201 | ||
| 0.0003 | -3.41 | 3.4101 | ||
| 0.0003 | -3.40 | 3.4001 | ||
| 0.0003 | -3.39 | 3.3901 | ||
| 0.0004 | -3.38 | 3.3801 | ||
| 0.0004 | -3.37 | 3.3701 | ||
| 0.0004 | -3.36 | 3.3601 | ||
| 0.0004 | -3.35 | 3.3501 | ||
| 0.0004 | -3.34 | 3.3401 | ||
| 0.0004 | -3.33 | 3.3301 | ||
| 0.0005 | -3.32 | 3.3201 | ||
| 0.0005 | -3.31 | 3.3101 | ||
| 0.0005 | -3.30 | 3.3001 | ||
| 0.0005 | -3.29 | 3.2901 | ||
| 0.0005 | -3.28 | 3.2801 | ||
| 0.0005 | -3.27 | 3.2701 | ||
| 0.0006 | -3.26 | 3.2601 | ||
| 0.0006 | -3.25 | 3.2502 | ||
| 0.0006 | -3.24 | 3.2402 | ||
| 0.0006 | -3.23 | 3.2302 | ||
| 0.0006 | -3.22 | 3.2202 | ||
| 0.0007 | -3.21 | 3.2102 | ||
| 0.0007 | -3.20 | 3.2002 | ||
| 0.0007 | -3.19 | 3.1902 | ||
| 0.0007 | -3.18 | 3.1802 | ||
| 0.0008 | -3.17 | 3.1702 | ||
| 0.0008 | -3.16 | 3.1602 | ||
| 0.0008 | -3.15 | 3.1502 | ||
| 0.0008 | -3.14 | 3.1402 | ||
| 0.0009 | -3.13 | 3.1302 | ||
| 0.0009 | -3.12 | 3.1202 | ||
| 0.0009 | -3.11 | 3.1103 | ||
| 0.0010 | -3.10 | 3.1003 | ||
| 0.0010 | -3.09 | 3.0903 | ||
| 0.0010 | -3.08 | 3.0803 | ||
| 0.0011 | -3.07 | 3.0703 | ||
| 0.0011 | -3.06 | 3.0603 | ||
| 0.0011 | -3.05 | 3.0503 | ||
| 0.0012 | -3.04 | 3.0403 | ||
| 0.0012 | -3.03 | 3.0303 | ||
| 0.0013 | -3.02 | 3.0204 | ||
| 0.0013 | -3.01 | 3.0104 | ||
| 0.0013 | -3.00 | 3.0004 | ||
| 0.0014 | -2.99 | 2.9904 | ||
| 0.0014 | -2.98 | 2.9804 | ||
| 0.0015 | -2.97 | 2.9704 | ||
| 0.0015 | -2.96 | 2.9604 | ||
| 0.0016 | -2.95 | 2.9505 | ||
| 0.0016 | -2.94 | 2.9405 | ||
| 0.0017 | -2.93 | 2.9305 | ||
| 0.0018 | -2.92 | 2.9205 | ||
| 0.0018 | -2.91 | 2.9105 | ||
| 0.0019 | -2.90 | 2.9005 | ||
| 0.0019 | -2.89 | 2.8906 | ||
| 0.0020 | -2.88 | 2.8806 | ||
| 0.0021 | -2.87 | 2.8706 | ||
| 0.0021 | -2.86 | 2.8606 | ||
| 0.0022 | -2.85 | 2.8506 | ||
| 0.0023 | -2.84 | 2.8407 | ||
| 0.0023 | -2.83 | 2.8307 | ||
| 0.0024 | -2.82 | 2.8207 | ||
| 0.0025 | -2.81 | 2.8107 | ||
| 0.0026 | -2.80 | 2.8008 | ||
| 0.0026 | -2.79 | 2.7908 | ||
| 0.0027 | -2.78 | 2.7808 | ||
| 0.0028 | -2.77 | 2.7708 | ||
| 0.0029 | -2.76 | 2.7609 | ||
| 0.0030 | -2.75 | 2.7509 | ||
| 0.0031 | -2.74 | 2.7409 | ||
| 0.0032 | -2.73 | 2.7310 | ||
| 0.0033 | -2.72 | 2.7210 | ||
| 0.0034 | -2.71 | 2.7110 | ||
| 0.0035 | -2.70 | 2.7011 | ||
| 0.0036 | -2.69 | 2.6911 | ||
| 0.0037 | -2.68 | 2.6811 | ||
| 0.0038 | -2.67 | 2.6712 | ||
| 0.0039 | -2.66 | 2.6612 | ||
| 0.0040 | -2.65 | 2.6512 | ||
| 0.0041 | -2.64 | 2.6413 | ||
| 0.0043 | -2.63 | 2.6313 | ||
| 0.0044 | -2.62 | 2.6214 | ||
| 0.0045 | -2.61 | 2.6114 | ||
| 0.0047 | -2.60 | 2.6015 | ||
| 0.0048 | -2.59 | 2.5915 | ||
| 0.0049 | -2.58 | 2.5816 | ||
| 0.0051 | -2.57 | 2.5716 | ||
| 0.0052 | -2.56 | 2.5617 | ||
| 0.0054 | -2.55 | 2.5517 | ||
| 0.0055 | -2.54 | 2.5418 | ||
| 0.0057 | -2.53 | 2.5318 | ||
| 0.0059 | -2.52 | 2.5219 | ||
| 0.0060 | -2.51 | 2.5119 | ||
| 0.0062 | -2.50 | 2.5020 | ||
| 0.0064 | -2.49 | 2.4921 | ||
| 0.0066 | -2.48 | 2.4821 | ||
| 0.0068 | -2.47 | 2.4722 | ||
| 0.0069 | -2.46 | 2.4623 | ||
| 0.0071 | -2.45 | 2.4523 | ||
| 0.0073 | -2.44 | 2.4424 | ||
| 0.0075 | -2.43 | 2.4325 | ||
| 0.0078 | -2.42 | 2.4226 | ||
| 0.0080 | -2.41 | 2.4126 | ||
| 0.0082 | -2.40 | 2.4027 | ||
| 0.0084 | -2.39 | 2.3928 | ||
| 0.0087 | -2.38 | 2.3829 | ||
| 0.0089 | -2.37 | 2.3730 | ||
| 0.0091 | -2.36 | 2.3631 | ||
| 0.0094 | -2.35 | 2.3532 | ||
| 0.0096 | -2.34 | 2.3433 | ||
| 0.0099 | -2.33 | 2.3334 | ||
| 0.0102 | -2.32 | 2.3235 | ||
| 0.0104 | -2.31 | 2.3136 | ||
| 0.0107 | -2.30 | 2.3037 | ||
| 0.0110 | -2.29 | 2.2938 | ||
| 0.0113 | -2.28 | 2.2839 | ||
| 0.0116 | -2.27 | 2.2740 | ||
| 0.0119 | -2.26 | 2.2641 | ||
| 0.0122 | -2.25 | 2.2542 | ||
| 0.0125 | -2.24 | 2.2444 | ||
| 0.0129 | -2.23 | 2.2345 | ||
| 0.0132 | -2.22 | 2.2246 | ||
| 0.0136 | -2.21 | 2.2147 | ||
| 0.0139 | -2.20 | 2.2049 | ||
| 0.0143 | -2.19 | 2.1950 | ||
| 0.0146 | -2.18 | 2.1852 | ||
| 0.0150 | -2.17 | 2.1753 | ||
| 0.0154 | -2.16 | 2.1655 | ||
| 0.0158 | -2.15 | 2.1556 | ||
| 0.0162 | -2.14 | 2.1458 | ||
| 0.0166 | -2.13 | 2.1360 | ||
| 0.0170 | -2.12 | 2.1261 | ||
| 0.0174 | -2.11 | 2.1163 | ||
| 0.0179 | -2.10 | 2.1065 | ||
| 0.0183 | -2.09 | 2.0966 | ||
| 0.0188 | -2.08 | 2.0868 | ||
| 0.0192 | -2.07 | 2.0770 | ||
| 0.0197 | -2.06 | 2.0672 | ||
| 0.0202 | -2.05 | 2.0574 | ||
| 0.0207 | -2.04 | 2.0476 | ||
| 0.0212 | -2.03 | 2.0378 | ||
| 0.0217 | -2.02 | 2.0280 | ||
| 0.0222 | -2.01 | 2.0183 | ||
| 0.0228 | -2.00 | 2.0085 | ||
| 0.0233 | -1.99 | 1.9987 | ||
| 0.0239 | -1.98 | 1.9890 | ||
| 0.0244 | -1.97 | 1.9792 | ||
| 0.0250 | -1.96 | 1.9694 | ||
| 0.0256 | -1.95 | 1.9597 | ||
| 0.0262 | -1.94 | 1.9500 | ||
| 0.0268 | -1.93 | 1.9402 | ||
| 0.0274 | -1.92 | 1.9305 | ||
| 0.0281 | -1.91 | 1.9208 | ||
| 0.0287 | -1.90 | 1.9111 | ||
| 0.0294 | -1.89 | 1.9013 | ||
| 0.0301 | -1.88 | 1.8916 | ||
| 0.0307 | -1.87 | 1.8819 | ||
| 0.0314 | -1.86 | 1.8723 | ||
| 0.0322 | -1.85 | 1.8626 | ||
| 0.0329 | -1.84 | 1.8529 | ||
| 0.0336 | -1.83 | 1.8432 | ||
| 0.0344 | -1.82 | 1.8336 | ||
| 0.0351 | -1.81 | 1.8239 | ||
| 0.0359 | -1.80 | 1.8143 | ||
| 0.0367 | -1.79 | 1.8046 | ||
| 0.0375 | -1.78 | 1.7950 | ||
| 0.0384 | -1.77 | 1.7854 | ||
| 0.0392 | -1.76 | 1.7758 | ||
| 0.0401 | -1.75 | 1.7662 | ||
| 0.0409 | -1.74 | 1.7566 | ||
| 0.0418 | -1.73 | 1.7470 | ||
| 0.0427 | -1.72 | 1.7374 | ||
| 0.0436 | -1.71 | 1.7278 | ||
| 0.0446 | -1.70 | 1.7183 | ||
| 0.0455 | -1.69 | 1.7087 | ||
| 0.0465 | -1.68 | 1.6992 | ||
| 0.0475 | -1.67 | 1.6897 | ||
| 0.0485 | -1.66 | 1.6801 | ||
| 0.0495 | -1.65 | 1.6706 | ||
| 0.0505 | -1.64 | 1.6611 | ||
| 0.0516 | -1.63 | 1.6516 | ||
| 0.0526 | -1.62 | 1.6422 | ||
| 0.0537 | -1.61 | 1.6327 | ||
| 0.0548 | -1.60 | 1.6232 | ||
| 0.0559 | -1.59 | 1.6138 | ||
| 0.0571 | -1.58 | 1.6044 | ||
| 0.0582 | -1.57 | 1.5949 | ||
| 0.0594 | -1.56 | 1.5855 | ||
| 0.0606 | -1.55 | 1.5761 | ||
| 0.0618 | -1.54 | 1.5667 | ||
| 0.0630 | -1.53 | 1.5574 | ||
| 0.0643 | -1.52 | 1.5480 | ||
| 0.0655 | -1.51 | 1.5386 | ||
| 0.0668 | -1.50 | 1.5293 | ||
| 0.0681 | -1.49 | 1.5200 | ||
| 0.0694 | -1.48 | 1.5107 | ||
| 0.0708 | -1.47 | 1.5014 | ||
| 0.0721 | -1.46 | 1.4921 | ||
| 0.0735 | -1.45 | 1.4828 | ||
| 0.0749 | -1.44 | 1.4736 | ||
| 0.0764 | -1.43 | 1.4643 | ||
| 0.0778 | -1.42 | 1.4551 | ||
| 0.0793 | -1.41 | 1.4459 | ||
| 0.0808 | -1.40 | 1.4367 | ||
| 0.0823 | -1.39 | 1.4275 | ||
| 0.0838 | -1.38 | 1.4183 | ||
| 0.0853 | -1.37 | 1.4092 | ||
| 0.0869 | -1.36 | 1.4000 | ||
| 0.0885 | -1.35 | 1.3909 | ||
| 0.0901 | -1.34 | 1.3818 | ||
| 0.0918 | -1.33 | 1.3727 | ||
| 0.0934 | -1.32 | 1.3636 | ||
| 0.0951 | -1.31 | 1.3546 | ||
| 0.0968 | -1.30 | 1.3455 | ||
| 0.0985 | -1.29 | 1.3365 | ||
| 0.1003 | -1.28 | 1.3275 | ||
| 0.1020 | -1.27 | 1.3185 | ||
| 0.1038 | -1.26 | 1.3095 | ||
| 0.1056 | -1.25 | 1.3006 | ||
| 0.1075 | -1.24 | 1.2917 | ||
| 0.1093 | -1.23 | 1.2827 | ||
| 0.1112 | -1.22 | 1.2738 | ||
| 0.1131 | -1.21 | 1.2650 | ||
| 0.1151 | -1.20 | 1.2561 | ||
| 0.1170 | -1.19 | 1.2473 | ||
| 0.1190 | -1.18 | 1.2384 | ||
| 0.1210 | -1.17 | 1.2296 | ||
| 0.1230 | -1.16 | 1.2209 | ||
| 0.1251 | -1.15 | 1.2121 | ||
| 0.1271 | -1.14 | 1.2034 | ||
| 0.1292 | -1.13 | 1.1946 | ||
| 0.1314 | -1.12 | 1.1859 | ||
| 0.1335 | -1.11 | 1.1773 | ||
| 0.1357 | -1.10 | 1.1686 | ||
| 0.1379 | -1.09 | 1.1600 | ||
| 0.1401 | -1.08 | 1.1514 | ||
| 0.1423 | -1.07 | 1.1428 | ||
| 0.1446 | -1.06 | 1.1342 | ||
| 0.1469 | -1.05 | 1.1257 | ||
| 0.1492 | -1.04 | 1.1172 | ||
| 0.1515 | -1.03 | 1.1087 | ||
| 0.1539 | -1.02 | 1.1002 | ||
| 0.1562 | -1.01 | 1.0917 | ||
| 0.1587 | -1.00 | 1.0833 | ||
| 0.1611 | -0.99 | 1.0749 | ||
| 0.1635 | -0.98 | 1.0665 | ||
| 0.1660 | -0.97 | 1.0582 | ||
| 0.1685 | -0.96 | 1.0499 | ||
| 0.1711 | -0.95 | 1.0416 | ||
| 0.1736 | -0.94 | 1.0333 | ||
| 0.1762 | -0.93 | 1.0250 | ||
| 0.1788 | -0.92 | 1.0168 | ||
| 0.1814 | -0.91 | 1.0086 | ||
| 0.1841 | -0.90 | 1.0004 | ||
| 0.1867 | -0.89 | 0.9923 | ||
| 0.1894 | -0.88 | 0.9842 | ||
| 0.1922 | -0.87 | 0.9761 | ||
| 0.1949 | -0.86 | 0.9680 | ||
| 0.1977 | -0.85 | 0.9600 | ||
| 0.2005 | -0.84 | 0.9520 | ||
| 0.2033 | -0.83 | 0.9440 | ||
| 0.2061 | -0.82 | 0.9360 | ||
| 0.2090 | -0.81 | 0.9281 | ||
| 0.2119 | -0.80 | 0.9202 | ||
| 0.2148 | -0.79 | 0.9123 | ||
| 0.2177 | -0.78 | 0.9045 | ||
| 0.2206 | -0.77 | 0.8967 | ||
| 0.2236 | -0.76 | 0.8889 | ||
| 0.2266 | -0.75 | 0.8812 | ||
| 0.2296 | -0.74 | 0.8734 | ||
| 0.2327 | -0.73 | 0.8658 | ||
| 0.2358 | -0.72 | 0.8581 | ||
| 0.2389 | -0.71 | 0.8505 | ||
| 0.2420 | -0.70 | 0.8429 | ||
| 0.2451 | -0.69 | 0.8353 | ||
| 0.2483 | -0.68 | 0.8278 | ||
| 0.2514 | -0.67 | 0.8203 | ||
| 0.2546 | -0.66 | 0.8128 | ||
| 0.2578 | -0.65 | 0.8054 | ||
| 0.2611 | -0.64 | 0.7980 | ||
| 0.2643 | -0.63 | 0.7906 | ||
| 0.2676 | -0.62 | 0.7833 | ||
| 0.2709 | -0.61 | 0.7759 | ||
| 0.2743 | -0.60 | 0.7687 | ||
| 0.2776 | -0.59 | 0.7614 | ||
| 0.2810 | -0.58 | 0.7542 | ||
| 0.2843 | -0.57 | 0.7471 | ||
| 0.2877 | -0.56 | 0.7399 | ||
| 0.2912 | -0.55 | 0.7328 | ||
| 0.2946 | -0.54 | 0.7257 | ||
| 0.2981 | -0.53 | 0.7187 | ||
| 0.3015 | -0.52 | 0.7117 | ||
| 0.3050 | -0.51 | 0.7047 | ||
| 0.3085 | -0.50 | 0.6978 | ||
| 0.3121 | -0.49 | 0.6909 | ||
| 0.3156 | -0.48 | 0.6840 | ||
| 0.3192 | -0.47 | 0.6772 | ||
| 0.3228 | -0.46 | 0.6704 | ||
| 0.3264 | -0.45 | 0.6637 | ||
| 0.3300 | -0.44 | 0.6569 | ||
| 0.3336 | -0.43 | 0.6503 | ||
| 0.3372 | -0.42 | 0.6436 | ||
| 0.3409 | -0.41 | 0.6370 | ||
| 0.3446 | -0.40 | 0.6304 | ||
| 0.3483 | -0.39 | 0.6239 | ||
| 0.3520 | -0.38 | 0.6174 | ||
| 0.3557 | -0.37 | 0.6109 | ||
| 0.3594 | -0.36 | 0.6045 | ||
| 0.3632 | -0.35 | 0.5981 | ||
| 0.3669 | -0.34 | 0.5918 | ||
| 0.3707 | -0.33 | 0.5855 | ||
| 0.3745 | -0.32 | 0.5792 | ||
| 0.3783 | -0.31 | 0.5730 | ||
| 0.3821 | -0.30 | 0.5668 | ||
| 0.3859 | -0.29 | 0.5606 | ||
| 0.3897 | -0.28 | 0.5545 | ||
| 0.3936 | -0.27 | 0.5484 | ||
| 0.3974 | -0.26 | 0.5424 | ||
| 0.4013 | -0.25 | 0.5363 | ||
| 0.4052 | -0.24 | 0.5304 | ||
| 0.4090 | -0.23 | 0.5244 | ||
| 0.4129 | -0.22 | 0.5186 | ||
| 0.4168 | -0.21 | 0.5127 | ||
| 0.4207 | -0.20 | 0.5069 | ||
| 0.4247 | -0.19 | 0.5011 | ||
| 0.4286 | -0.18 | 0.4954 | ||
| 0.4325 | -0.17 | 0.4897 | ||
| 0.4364 | -0.16 | 0.4840 | ||
| 0.4404 | -0.15 | 0.4784 | ||
| 0.4443 | -0.14 | 0.4728 | ||
| 0.4483 | -0.13 | 0.4673 | ||
| 0.4522 | -0.12 | 0.4618 | ||
| 0.4562 | -0.11 | 0.4564 | ||
| 0.4602 | -0.10 | 0.4509 | ||
| 0.4641 | -0.09 | 0.4456 | ||
| 0.4681 | -0.08 | 0.4402 | ||
| 0.4721 | -0.07 | 0.4349 | ||
| 0.4761 | -0.06 | 0.4297 | ||
| 0.4801 | -0.05 | 0.4244 | ||
| 0.4840 | -0.04 | 0.4193 | ||
| 0.4880 | -0.03 | 0.4141 | ||
| 0.4920 | -0.02 | 0.4090 | ||
| 0.4960 | -0.01 | 0.4040 | ||
| 0.5000 | -0.00 | 0.3989 | ||
| 0.5040 | 0.01 | 0.3940 | ||
| 0.5080 | 0.02 | 0.3890 | ||
| 0.5120 | 0.03 | 0.3841 | ||
| 0.5160 | 0.04 | 0.3793 | ||
| 0.5199 | 0.05 | 0.3744 | ||
| 0.5239 | 0.06 | 0.3697 | ||
| 0.5279 | 0.07 | 0.3649 | ||
| 0.5319 | 0.08 | 0.3602 | ||
| 0.5359 | 0.09 | 0.3556 | ||
| 0.5398 | 0.10 | 0.3509 | ||
| 0.5438 | 0.11 | 0.3464 | ||
| 0.5478 | 0.12 | 0.3418 | ||
| 0.5517 | 0.13 | 0.3373 | ||
| 0.5557 | 0.14 | 0.3328 | ||
| 0.5596 | 0.15 | 0.3284 | ||
| 0.5636 | 0.16 | 0.3240 | ||
| 0.5675 | 0.17 | 0.3197 | ||
| 0.5714 | 0.18 | 0.3154 | ||
| 0.5753 | 0.19 | 0.3111 | ||
| 0.5793 | 0.20 | 0.3069 | ||
| 0.5832 | 0.21 | 0.3027 | ||
| 0.5871 | 0.22 | 0.2986 | ||
| 0.5910 | 0.23 | 0.2944 | ||
| 0.5948 | 0.24 | 0.2904 | ||
| 0.5987 | 0.25 | 0.2863 | ||
| 0.6026 | 0.26 | 0.2824 | ||
| 0.6064 | 0.27 | 0.2784 | ||
| 0.6103 | 0.28 | 0.2745 | ||
| 0.6141 | 0.29 | 0.2706 | ||
| 0.6179 | 0.30 | 0.2668 | ||
| 0.6217 | 0.31 | 0.2630 | ||
| 0.6255 | 0.32 | 0.2592 | ||
| 0.6293 | 0.33 | 0.2555 | ||
| 0.6331 | 0.34 | 0.2518 | ||
| 0.6368 | 0.35 | 0.2481 | ||
| 0.6406 | 0.36 | 0.2445 | ||
| 0.6443 | 0.37 | 0.2409 | ||
| 0.6480 | 0.38 | 0.2374 | ||
| 0.6517 | 0.39 | 0.2339 | ||
| 0.6554 | 0.40 | 0.2304 | ||
| 0.6591 | 0.41 | 0.2270 | ||
| 0.6628 | 0.42 | 0.2236 | ||
| 0.6664 | 0.43 | 0.2203 | ||
| 0.6700 | 0.44 | 0.2169 | ||
| 0.6736 | 0.45 | 0.2137 | ||
| 0.6772 | 0.46 | 0.2104 | ||
| 0.6808 | 0.47 | 0.2072 | ||
| 0.6844 | 0.48 | 0.2040 | ||
| 0.6879 | 0.49 | 0.2009 | ||
| 0.6915 | 0.50 | 0.1978 | ||
| 0.6950 | 0.51 | 0.1947 | ||
| 0.6985 | 0.52 | 0.1917 | ||
| 0.7019 | 0.53 | 0.1887 | ||
| 0.7054 | 0.54 | 0.1857 | ||
| 0.7088 | 0.55 | 0.1828 | ||
| 0.7123 | 0.56 | 0.1799 | ||
| 0.7157 | 0.57 | 0.1771 | ||
| 0.7190 | 0.58 | 0.1742 | ||
| 0.7224 | 0.59 | 0.1714 | ||
| 0.7257 | 0.60 | 0.1687 | ||
| 0.7291 | 0.61 | 0.1659 | ||
| 0.7324 | 0.62 | 0.1633 | ||
| 0.7357 | 0.63 | 0.1606 | ||
| 0.7389 | 0.64 | 0.1580 | ||
| 0.7422 | 0.65 | 0.1554 | ||
| 0.7454 | 0.66 | 0.1528 | ||
| 0.7486 | 0.67 | 0.1503 | ||
| 0.7517 | 0.68 | 0.1478 | ||
| 0.7549 | 0.69 | 0.1453 | ||
| 0.7580 | 0.70 | 0.1429 | ||
| 0.7611 | 0.71 | 0.1405 | ||
| 0.7642 | 0.72 | 0.1381 | ||
| 0.7673 | 0.73 | 0.1358 | ||
| 0.7704 | 0.74 | 0.1334 | ||
| 0.7734 | 0.75 | 0.1312 | ||
| 0.7764 | 0.76 | 0.1289 | ||
| 0.7794 | 0.77 | 0.1267 | ||
| 0.7823 | 0.78 | 0.1245 | ||
| 0.7852 | 0.79 | 0.1223 | ||
| 0.7881 | 0.80 | 0.1202 | ||
| 0.7910 | 0.81 | 0.1181 | ||
| 0.7939 | 0.82 | 0.1160 | ||
| 0.7967 | 0.83 | 0.1140 | ||
| 0.7995 | 0.84 | 0.1120 | ||
| 0.8023 | 0.85 | 0.1100 | ||
| 0.8051 | 0.86 | 0.1080 | ||
| 0.8078 | 0.87 | 0.1061 | ||
| 0.8106 | 0.88 | 0.1042 | ||
| 0.8133 | 0.89 | 0.1023 | ||
| 0.8159 | 0.90 | 0.1004 | ||
| 0.8186 | 0.91 | 0.0986 | ||
| 0.8212 | 0.92 | 0.0968 | ||
| 0.8238 | 0.93 | 0.0950 | ||
| 0.8264 | 0.94 | 0.0933 | ||
| 0.8289 | 0.95 | 0.0916 | ||
| 0.8315 | 0.96 | 0.0899 | ||
| 0.8340 | 0.97 | 0.0882 | ||
| 0.8365 | 0.98 | 0.0865 | ||
| 0.8389 | 0.99 | 0.0849 | ||
| 0.8413 | 1.00 | 0.0833 | ||
| 0.8438 | 1.01 | 0.0817 | ||
| 0.8461 | 1.02 | 0.0802 | ||
| 0.8485 | 1.03 | 0.0787 | ||
| 0.8508 | 1.04 | 0.0772 | ||
| 0.8531 | 1.05 | 0.0757 | ||
| 0.8554 | 1.06 | 0.0742 | ||
| 0.8577 | 1.07 | 0.0728 | ||
| 0.8599 | 1.08 | 0.0714 | ||
| 0.8621 | 1.09 | 0.0700 | ||
| 0.8643 | 1.10 | 0.0686 | ||
| 0.8665 | 1.11 | 0.0673 | ||
| 0.8686 | 1.12 | 0.0659 | ||
| 0.8708 | 1.13 | 0.0646 | ||
| 0.8729 | 1.14 | 0.0634 | ||
| 0.8749 | 1.15 | 0.0621 | ||
| 0.8770 | 1.16 | 0.0609 | ||
| 0.8790 | 1.17 | 0.0596 | ||
| 0.8810 | 1.18 | 0.0584 | ||
| 0.8830 | 1.19 | 0.0573 | ||
| 0.8849 | 1.20 | 0.0561 | ||
| 0.8869 | 1.21 | 0.0550 | ||
| 0.8888 | 1.22 | 0.0538 | ||
| 0.8907 | 1.23 | 0.0527 | ||
| 0.8925 | 1.24 | 0.0517 | ||
| 0.8944 | 1.25 | 0.0506 | ||
| 0.8962 | 1.26 | 0.0495 | ||
| 0.8980 | 1.27 | 0.0485 | ||
| 0.8997 | 1.28 | 0.0475 | ||
| 0.9015 | 1.29 | 0.0465 | ||
| 0.9032 | 1.30 | 0.0455 | ||
| 0.9049 | 1.31 | 0.0446 | ||
| 0.9066 | 1.32 | 0.0436 | ||
| 0.9082 | 1.33 | 0.0427 | ||
| 0.9099 | 1.34 | 0.0418 | ||
| 0.9115 | 1.35 | 0.0409 | ||
| 0.9131 | 1.36 | 0.0400 | ||
| 0.9147 | 1.37 | 0.0392 | ||
| 0.9162 | 1.38 | 0.0383 | ||
| 0.9177 | 1.39 | 0.0375 | ||
| 0.9192 | 1.40 | 0.0367 | ||
| 0.9207 | 1.41 | 0.0359 | ||
| 0.9222 | 1.42 | 0.0351 | ||
| 0.9236 | 1.43 | 0.0343 | ||
| 0.9251 | 1.44 | 0.0336 | ||
| 0.9265 | 1.45 | 0.0328 | ||
| 0.9279 | 1.46 | 0.0321 | ||
| 0.9292 | 1.47 | 0.0314 | ||
| 0.9306 | 1.48 | 0.0307 | ||
| 0.9319 | 1.49 | 0.0300 | ||
| 0.9332 | 1.50 | 0.0293 | ||
| 0.9345 | 1.51 | 0.0286 | ||
| 0.9357 | 1.52 | 0.0280 | ||
| 0.9370 | 1.53 | 0.0274 | ||
| 0.9382 | 1.54 | 0.0267 | ||
| 0.9394 | 1.55 | 0.0261 | ||
| 0.9406 | 1.56 | 0.0255 | ||
| 0.9418 | 1.57 | 0.0249 | ||
| 0.9429 | 1.58 | 0.0244 | ||
| 0.9441 | 1.59 | 0.0238 | ||
| 0.9452 | 1.60 | 0.0232 | ||
| 0.9463 | 1.61 | 0.0227 | ||
| 0.9474 | 1.62 | 0.0222 | ||
| 0.9484 | 1.63 | 0.0216 | ||
| 0.9495 | 1.64 | 0.0211 | ||
| 0.9505 | 1.65 | 0.0206 | ||
| 0.9515 | 1.66 | 0.0201 | ||
| 0.9525 | 1.67 | 0.0197 | ||
| 0.9535 | 1.68 | 0.0192 | ||
| 0.9545 | 1.69 | 0.0187 | ||
| 0.9554 | 1.70 | 0.0183 | ||
| 0.9564 | 1.71 | 0.0178 | ||
| 0.9573 | 1.72 | 0.0174 | ||
| 0.9582 | 1.73 | 0.0170 | ||
| 0.9591 | 1.74 | 0.0166 | ||
| 0.9599 | 1.75 | 0.0162 | ||
| 0.9608 | 1.76 | 0.0158 | ||
| 0.9616 | 1.77 | 0.0154 | ||
| 0.9625 | 1.78 | 0.0150 | ||
| 0.9633 | 1.79 | 0.0146 | ||
| 0.9641 | 1.80 | 0.0143 | ||
| 0.9649 | 1.81 | 0.0139 | ||
| 0.9656 | 1.82 | 0.0136 | ||
| 0.9664 | 1.83 | 0.0132 | ||
| 0.9671 | 1.84 | 0.0129 | ||
| 0.9678 | 1.85 | 0.0126 | ||
| 0.9686 | 1.86 | 0.0123 | ||
| 0.9693 | 1.87 | 0.0119 | ||
| 0.9699 | 1.88 | 0.0116 | ||
| 0.9706 | 1.89 | 0.0113 | ||
| 0.9713 | 1.90 | 0.0111 | ||
| 0.9719 | 1.91 | 0.0108 | ||
| 0.9726 | 1.92 | 0.0105 | ||
| 0.9732 | 1.93 | 0.0102 | ||
| 0.9738 | 1.94 | 0.0100 | ||
| 0.9744 | 1.95 | 0.0097 | ||
| 0.9750 | 1.96 | 0.0094 | ||
| 0.9756 | 1.97 | 0.0092 | ||
| 0.9761 | 1.98 | 0.0090 | ||
| 0.9767 | 1.99 | 0.0087 | ||
| 0.9772 | 2.00 | 0.0085 | ||
| 0.9778 | 2.01 | 0.0083 | ||
| 0.9783 | 2.02 | 0.0080 | ||
| 0.9788 | 2.03 | 0.0078 | ||
| 0.9793 | 2.04 | 0.0076 | ||
| 0.9798 | 2.05 | 0.0074 | ||
| 0.9803 | 2.06 | 0.0072 | ||
| 0.9808 | 2.07 | 0.0070 | ||
| 0.9812 | 2.08 | 0.0068 | ||
| 0.9817 | 2.09 | 0.0066 | ||
| 0.9821 | 2.10 | 0.0065 | ||
| 0.9826 | 2.11 | 0.0063 | ||
| 0.9830 | 2.12 | 0.0061 | ||
| 0.9834 | 2.13 | 0.0060 | ||
| 0.9838 | 2.14 | 0.0058 | ||
| 0.9842 | 2.15 | 0.0056 | ||
| 0.9846 | 2.16 | 0.0055 | ||
| 0.9850 | 2.17 | 0.0053 | ||
| 0.9854 | 2.18 | 0.0052 | ||
| 0.9857 | 2.19 | 0.0050 | ||
| 0.9861 | 2.20 | 0.0049 | ||
| 0.9864 | 2.21 | 0.0047 | ||
| 0.9868 | 2.22 | 0.0046 | ||
| 0.9871 | 2.23 | 0.0045 | ||
| 0.9875 | 2.24 | 0.0044 | ||
| 0.9878 | 2.25 | 0.0042 | ||
| 0.9881 | 2.26 | 0.0041 | ||
| 0.9884 | 2.27 | 0.0040 | ||
| 0.9887 | 2.28 | 0.0039 | ||
| 0.9890 | 2.29 | 0.0038 | ||
| 0.9893 | 2.30 | 0.0037 | ||
| 0.9896 | 2.31 | 0.0036 | ||
| 0.9898 | 2.32 | 0.0035 | ||
| 0.9901 | 2.33 | 0.0034 | ||
| 0.9904 | 2.34 | 0.0033 | ||
| 0.9906 | 2.35 | 0.0032 | ||
| 0.9909 | 2.36 | 0.0031 | ||
| 0.9911 | 2.37 | 0.0030 | ||
| 0.9913 | 2.38 | 0.0029 | ||
| 0.9916 | 2.39 | 0.0028 | ||
| 0.9918 | 2.40 | 0.0027 | ||
| 0.9920 | 2.41 | 0.0026 | ||
| 0.9922 | 2.42 | 0.0026 | ||
| 0.9925 | 2.43 | 0.0025 | ||
| 0.9927 | 2.44 | 0.0024 | ||
| 0.9929 | 2.45 | 0.0023 | ||
| 0.9931 | 2.46 | 0.0023 | ||
| 0.9932 | 2.47 | 0.0022 | ||
| 0.9934 | 2.48 | 0.0021 | ||
| 0.9936 | 2.49 | 0.0021 | ||
| 0.9938 | 2.50 | 0.0020 | ||
| 0.9940 | 2.51 | 0.0019 | ||
| 0.9941 | 2.52 | 0.0019 | ||
| 0.9943 | 2.53 | 0.0018 | ||
| 0.9945 | 2.54 | 0.0018 | ||
| 0.9946 | 2.55 | 0.0017 | ||
| 0.9948 | 2.56 | 0.0017 | ||
| 0.9949 | 2.57 | 0.0016 | ||
| 0.9951 | 2.58 | 0.0016 | ||
| 0.9952 | 2.59 | 0.0015 | ||
| 0.9953 | 2.60 | 0.0015 | ||
| 0.9955 | 2.61 | 0.0014 | ||
| 0.9956 | 2.62 | 0.0014 | ||
| 0.9957 | 2.63 | 0.0013 | ||
| 0.9959 | 2.64 | 0.0013 | ||
| 0.9960 | 2.65 | 0.0012 | ||
| 0.9961 | 2.66 | 0.0012 | ||
| 0.9962 | 2.67 | 0.0012 | ||
| 0.9963 | 2.68 | 0.0011 | ||
| 0.9964 | 2.69 | 0.0011 | ||
| 0.9965 | 2.70 | 0.0011 | ||
| 0.9966 | 2.71 | 0.0010 | ||
| 0.9967 | 2.72 | 0.0010 | ||
| 0.9968 | 2.73 | 0.0010 | ||
| 0.9969 | 2.74 | 0.0009 | ||
| 0.9970 | 2.75 | 0.0009 | ||
| 0.9971 | 2.76 | 0.0009 | ||
| 0.9972 | 2.77 | 0.0008 | ||
| 0.9973 | 2.78 | 0.0008 | ||
| 0.9974 | 2.79 | 0.0008 | ||
| 0.9974 | 2.80 | 0.0008 | ||
| 0.9975 | 2.81 | 0.0007 | ||
| 0.9976 | 2.82 | 0.0007 | ||
| 0.9977 | 2.83 | 0.0007 | ||
| 0.9977 | 2.84 | 0.0007 | ||
| 0.9978 | 2.85 | 0.0006 | ||
| 0.9979 | 2.86 | 0.0006 | ||
| 0.9979 | 2.87 | 0.0006 | ||
| 0.9980 | 2.88 | 0.0006 | ||
| 0.9981 | 2.89 | 0.0006 | ||
| 0.9981 | 2.90 | 0.0005 | ||
| 0.9982 | 2.91 | 0.0005 | ||
| 0.9982 | 2.92 | 0.0005 | ||
| 0.9983 | 2.93 | 0.0005 | ||
| 0.9984 | 2.94 | 0.0005 | ||
| 0.9984 | 2.95 | 0.0005 | ||
| 0.9985 | 2.96 | 0.0004 | ||
| 0.9985 | 2.97 | 0.0004 | ||
| 0.9986 | 2.98 | 0.0004 | ||
| 0.9986 | 2.99 | 0.0004 | ||
| 0.9987 | 3.00 | 0.0004 | ||
| 0.9987 | 3.01 | 0.0004 | ||
| 0.9987 | 3.02 | 0.0004 | ||
| 0.9988 | 3.03 | 0.0003 | ||
| 0.9988 | 3.04 | 0.0003 | ||
| 0.9989 | 3.05 | 0.0003 | ||
| 0.9989 | 3.06 | 0.0003 | ||
| 0.9989 | 3.07 | 0.0003 | ||
| 0.9990 | 3.08 | 0.0003 | ||
| 0.9990 | 3.09 | 0.0003 | ||
| 0.9990 | 3.10 | 0.0003 | ||
| 0.9991 | 3.11 | 0.0003 | ||
| 0.9991 | 3.12 | 0.0002 | ||
| 0.9991 | 3.13 | 0.0002 | ||
| 0.9992 | 3.14 | 0.0002 | ||
| 0.9992 | 3.15 | 0.0002 | ||
| 0.9992 | 3.16 | 0.0002 | ||
| 0.9992 | 3.17 | 0.0002 | ||
| 0.9993 | 3.18 | 0.0002 | ||
| 0.9993 | 3.19 | 0.0002 | ||
| 0.9993 | 3.20 | 0.0002 | ||
| 0.9993 | 3.21 | 0.0002 | ||
| 0.9994 | 3.22 | 0.0002 | ||
| 0.9994 | 3.23 | 0.0002 | ||
| 0.9994 | 3.24 | 0.0002 | ||
| 0.9994 | 3.25 | 0.0002 | ||
| 0.9994 | 3.26 | 0.0001 | ||
| 0.9995 | 3.27 | 0.0001 | ||
| 0.9995 | 3.28 | 0.0001 | ||
| 0.9995 | 3.29 | 0.0001 | ||
| 0.9995 | 3.30 | 0.0001 | ||
| 0.9995 | 3.31 | 0.0001 | ||
| 0.9995 | 3.32 | 0.0001 | ||
| 0.9996 | 3.33 | 0.0001 | ||
| 0.9996 | 3.34 | 0.0001 | ||
| 0.9996 | 3.35 | 0.0001 | ||
| 0.9996 | 3.36 | 0.0001 | ||
| 0.9996 | 3.37 | 0.0001 | ||
| 0.9996 | 3.38 | 0.0001 | ||
| 0.9997 | 3.39 | 0.0001 | ||
| 0.9997 | 3.40 | 0.0001 | ||
| 0.9997 | 3.41 | 0.0001 | ||
| 0.9997 | 3.42 | 0.0001 | ||
| 0.9997 | 3.43 | 0.0001 | ||
| 0.9997 | 3.44 | 0.0001 | ||
| 0.9997 | 3.45 | 0.0001 | ||
| 0.9997 | 3.46 | 0.0001 | ||
| 0.9997 | 3.47 | 0.0001 | ||
| 0.9997 | 3.48 | 0.0001 | ||
| 0.9998 | 3.49 | 0.0001 | ||
| 0.9998 | 3.50 | 0.0001 | ||
| 0.9998 | 3.51 | 0.0001 | ||
| 0.9998 | 3.52 | 0.0001 | ||
| 0.9998 | 3.53 | 0.0001 | ||
| 0.9998 | 3.54 | 0.0000 | ||
| 0.9998 | 3.55 | 0.0000 | ||
| 0.9998 | 3.56 | 0.0000 | ||
| 0.9998 | 3.57 | 0.0000 | ||
| 0.9998 | 3.58 | 0.0000 | ||
| 0.9998 | 3.59 | 0.0000 | ||
| 0.9998 | 3.60 | 0.0000 | ||
| 0.9998 | 3.61 | 0.0000 | ||
| 0.9999 | 3.62 | 0.0000 | ||
| 0.9999 | 3.63 | 0.0000 | ||
| 0.9999 | 3.64 | 0.0000 | ||
| 0.9999 | 3.65 | 0.0000 | ||
| 0.9999 | 3.66 | 0.0000 | ||
| 0.9999 | 3.67 | 0.0000 | ||
| 0.9999 | 3.68 | 0.0000 | ||
| 0.9999 | 3.69 | 0.0000 | ||
| 0.9999 | 3.70 | 0.0000 | ||
| 0.9999 | 3.71 | 0.0000 | ||
| 0.9999 | 3.72 | 0.0000 | ||
| 0.9999 | 3.73 | 0.0000 | ||
| 0.9999 | 3.74 | 0.0000 | ||
| 0.9999 | 3.75 | 0.0000 | ||
| 0.9999 | 3.76 | 0.0000 | ||
| 0.9999 | 3.77 | 0.0000 | ||
| 0.9999 | 3.78 | 0.0000 | ||
| 0.9999 | 3.79 | 0.0000 | ||
| 0.9999 | 3.80 | 0.0000 | ||
| 0.9999 | 3.81 | 0.0000 | ||
| 0.9999 | 3.82 | 0.0000 | ||
| 0.9999 | 3.83 | 0.0000 | ||
| 0.9999 | 3.84 | 0.0000 | ||
| 0.9999 | 3.85 | 0.0000 | ||
| 0.9999 | 3.86 | 0.0000 | ||
| 0.9999 | 3.87 | 0.0000 | ||
| 0.9999 | 3.88 | 0.0000 | ||
| 0.9999 | 3.89 | 0.0000 | ||
| 1.0000 | 3.90 | 0.0000 | ||
| 1.0000 | 3.91 | 0.0000 | ||
| 1.0000 | 3.92 | 0.0000 | ||
| 1.0000 | 3.93 | 0.0000 | ||
| 1.0000 | 3.94 | 0.0000 | ||
| 1.0000 | 3.95 | 0.0000 | ||
| 1.0000 | 3.96 | 0.0000 | ||
| 1.0000 | 3.97 | 0.0000 | ||
| 1.0000 | 3.98 | 0.0000 | ||
| 1.0000 | 3.99 | 0.0000 | ||
| 1.0000 | 4.00 | 0.0000 | ||
| 1.0000 | 4.01 | 0.0000 | ||
| 1.0000 | 4.02 | 0.0000 | ||
| 1.0000 | 4.03 | 0.0000 | ||
| 1.0000 | 4.04 | 0.0000 | ||
| 1.0000 | 4.05 | 0.0000 | ||
| 1.0000 | 4.06 | 0.0000 | ||
| 1.0000 | 4.07 | 0.0000 | ||
| 1.0000 | 4.08 | 0.0000 | ||
| 1.0000 | 4.09 | 0.0000 | ||
| 1.0000 | 4.10 | 0.0000 | ||
| 1.0000 | 4.11 | 0.0000 | ||
| 1.0000 | 4.12 | 0.0000 | ||
| 1.0000 | 4.13 | 0.0000 | ||
| 1.0000 | 4.14 | 0.0000 | ||
| 1.0000 | 4.15 | 0.0000 | ||
| 1.0000 | 4.16 | 0.0000 | ||
| 1.0000 | 4.17 | 0.0000 | ||
| 1.0000 | 4.18 | 0.0000 | ||
| 1.0000 | 4.19 | 0.0000 | ||
| 1.0000 | 4.20 | 0.0000 | ||
| 1.0000 | 4.21 | 0.0000 | ||
| 1.0000 | 4.22 | 0.0000 | ||
| 1.0000 | 4.23 | 0.0000 | ||
| 1.0000 | 4.24 | 0.0000 | ||
| 1.0000 | 4.25 | 0.0000 | ||
| 1.0000 | 4.26 | 0.0000 | ||
| 1.0000 | 4.27 | 0.0000 | ||
| 1.0000 | 4.28 | 0.0000 | ||
| 1.0000 | 4.29 | 0.0000 | ||
| 1.0000 | 4.30 | 0.0000 | ||
| 1.0000 | 4.31 | 0.0000 | ||
| 1.0000 | 4.32 | 0.0000 | ||
| 1.0000 | 4.33 | 0.0000 | ||
| 1.0000 | 4.34 | 0.0000 | ||
| 1.0000 | 4.35 | 0.0000 | ||
| 1.0000 | 4.36 | 0.0000 | ||
| 1.0000 | 4.37 | 0.0000 | ||
| 1.0000 | 4.38 | 0.0000 | ||
| 1.0000 | 4.39 | 0.0000 | ||
| 1.0000 | 4.40 | 0.0000 | ||
| 1.0000 | 4.41 | 0.0000 | ||
| 1.0000 | 4.42 | 0.0000 | ||
| 1.0000 | 4.43 | 0.0000 | ||
| 1.0000 | 4.44 | 0.0000 | ||
| 1.0000 | 4.45 | 0.0000 | ||
| 1.0000 | 4.46 | 0.0000 | ||
| 1.0000 | 4.47 | 0.0000 | ||
| 1.0000 | 4.48 | 0.0000 | ||
| 1.0000 | 4.49 | 0.0000 | ||
| 1.0000 | 4.50 | 0.0000 |
&A
Page &P
SinglePeriod Model
| Single Period Model - Full Marginal Cost Analysis Approach | |||||||||||||
| Co = | $ 0.20 | Cost per unit of demand overestimated | |||||||||||
| Cu = | $ 0.20 | Cost per unit of demand underestimated | |||||||||||
| Number of Units Purchased | |||||||||||||
| Units Demanded | Probability | 1800 | 2000 | 2200 | 2400 | 2600 | 2800 | 3000 | 0 | 0 | 0 | 0 | |
| 1800 | 0.050 | - 0 | 40 | 80 | 120 | 160 | 200 | 240 | - 0 | - 0 | - 0 | - 0 | |
| 2000 | 0.100 | 40 | - 0 | 40 | 80 | 120 | 160 | 200 | - 0 | - 0 | - 0 | - 0 | |
| 2200 | 0.200 | 80 | 40 | - 0 | 40 | 80 | 120 | 160 | - 0 | - 0 | - 0 | - 0 | |
| 2400 | 0.300 | 120 | 80 | 40 | - 0 | 40 | 80 | 120 | - 0 | - 0 | - 0 | - 0 | |
| 2600 | 0.200 | 160 | 120 | 80 | 40 | - 0 | 40 | 80 | - 0 | - 0 | - 0 | - 0 | |
| 2800 | 0.100 | 200 | 160 | 120 | 80 | 40 | - 0 | 40 | - 0 | - 0 | - 0 | - 0 | |
| 3000 | 0.050 | 240 | 200 | 160 | 120 | 80 | 40 | - 0 | - 0 | - 0 | - 0 | - 0 | |
| - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | |||
| - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | |||
| - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | |||
| - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | - 0 | |||
| Total Cost | 120 | 84 | 56 | 44 | 56 | 84 | 120 | - 0 | - 0 | - 0 | - 0 |
SinglePeriod Model
Number Purchased
Expected Cost ($)
Fixed Quantity Model
| Fixed Quantity Model | |||||||||
| Annual demand (D) | 1000 | Q0 = | 90 | ||||||
| Ordering cost (S) | $5.00 | Average Inventory = | 45.0 | ||||||
| Holding cost per unit per year (H) | $1.25 | ||||||||
| Days in operation per year = | 360 | Reorder point = | 13.9 | ||||||
| Lead time (L) | 5 | Days per cycle = | 32.4 | ||||||
| Cost per unit (C) | $12.50 | Number of cycles per year = | 11.1 | ||||||
| Total Annual Holding and Ordering Cost = | $ 111.81 | ||||||||
| Total Cost = | 12,611.81 | ||||||||
| X | ROP | ||||||||
| 0 | 13.9 | ||||||||
| 162.0 | 13.9 | ||||||||
| T | CumProd | Q | y | ||||||
| 63 | 0 | 0 | 1000 | ||||||
| 63 | 300.0 | 162.0 | |||||||
| Time | InvLevel | Usage | CumProd | ||||||
| CumInv | 0.0 | 90.0 | 0 | 13.9 | |||||
| CumInv | 0.0 | 90.0 | 0.0 | 0 | 13.9 | ||||
| UseInv | 0.0 | 90.0 | 90.0 | 0 | 13.9 | ||||
| UseInv | 32.4 | 0.0 | 0 | 13.9 | |||||
| CumInv | 32.4 | 90.0 | 0 | 13.9 | |||||
| CumInv | 32.4 | 90.0 | 0.0 | 0 | 13.9 | ||||
| UseInv | 32.4 | 90.0 | 90.0 | 0 | 13.9 | ||||
| UseInv | 64.8 | 0.0 | 0 | 13.9 | |||||
| CumInv | 64.8 | 90.0 | 0.0 | 0 | 13.9 | ||||
| CumInv | 64.8 | 90.0 | 90.0 | 0 | 13.9 | ||||
| UseInv | 64.8 | 90.0 | 0 | 13.9 | |||||
| UseInv | 97.2 | 0.0 | 0 | 13.9 | |||||
| CumInv | 97.2 | 90.0 | 0.0 | 0 | 13.9 | ||||
| CumInv | 97.2 | 90.0 | 90.0 | 0 | 13.9 | ||||
| UseInv | 97.2 | 90.0 | 0 | 13.9 | |||||
| UseInv | 129.6 | 0.0 | 0 | 13.9 | |||||
| CumInv | 129.6 | 90.0 | 0.0 | 0 | 13.9 | ||||
| CumInv | 129.6 | 90.0 | 90.0 | 0 | 13.9 | ||||
| UseInv | 129.6 | 90.0 | 0 | 13.9 | |||||
| UseInv | 162.0 | 0.0 | 0 | 13.9 |
Fixed Quantity Model
Inventory Buildup
Order Received
Usage Rate
Reorder Point
Time Horizon
Quantity
FIxedTime Model
| Fixed Time Period Model with Safety Stock | |||
| 30 | T | Number of days between reviews | |
| 14 | L | Lead time in days | |
| 10 | d-bar | Forecast average daily demand (d-bar) | |
| 3 | sd | Standard deviation of demand | |
| 98% | L | Service Level | |
| 150 | I | Current inventory level | |
| 19.900 | sT+L | Standard deviation of demand over the review and lead time | |
| 2.054 | z | z-value for the stated service level | |
| 440 | Average demand over the vulnerable period | ||
| 40.87 | Safety stock | ||
| 330 | q | Order Quantity |
Cost Graph EOQ
| EOQ and Total Cost Graph | ||||||
| Annual demand (D) | 1000 | |||||
| Per Order cost (S) | $5.00 | |||||
| Holding cost per unit per year (H) | $1.25 | |||||
| Qopt = | 90 | |||||
| Increment Q | 10 | |||||
| Q | CumProd | QBEP | TC | |||
| 200 | 0 | 0 | 90 | 0 | 150 | |
| 200 | 150 | 112 | 90 | 200 | 150 | |
| Q | THC | TSC | TC | |||
| 0 | 0.0 | 0 | 0.0 | |||
| 10 | 6.3 | 500.0 | 506.3 | |||
| 20 | 12.5 | 250.0 | 262.5 | |||
| 30 | 18.8 | 166.7 | 185.4 | |||
| 40 | 25.0 | 125.0 | 150.0 | |||
| 50 | 31.3 | 100.0 | 131.3 | |||
| 60 | 37.5 | 83.3 | 120.8 | |||
| 70 | 43.8 | 71.4 | 115.2 | |||
| 80 | 50.0 | 62.5 | 112.5 | |||
| 90 | 56.3 | 55.6 | 111.8 | |||
| 100 | 62.5 | 50.0 | 112.5 | |||
| 110 | 68.8 | 45.5 | 114.2 | |||
| 120 | 75.0 | 41.7 | 116.7 | |||
| 130 | 81.3 | 38.5 | 119.7 | |||
| 140 | 87.5 | 35.7 | 123.2 | |||
| 150 | 93.8 | 33.3 | 127.1 | |||
| 160 | 100.0 | 31.3 | 131.3 | |||
| 170 | 106.3 | 29.4 | 135.7 | |||
| 180 | 112.5 | 27.8 | 140.3 | |||
| 190 | 118.8 | 26.3 | 145.1 | |||
| 200 | 125.0 | 25.0 | 150.0 | |||
| 210 | 131.3 | 23.8 | 155.1 | |||
| 220 | 137.5 | 22.7 | 160.2 | |||
| 230 | 143.8 | 21.7 | 165.5 | |||
| 240 | 150.0 | 20.8 | 170.8 | |||
| 250 | 156.3 | 20.0 | 176.3 | |||
| 260 | 162.5 | 19.2 | 181.7 | |||
| 270 | 168.8 | 18.5 | 187.3 | |||
| 280 | 175.0 | 17.9 | 192.9 | |||
| 290 | 181.3 | 17.2 | 198.5 | |||
| 300 | 187.5 | 16.7 | 204.2 | |||
| 310 | 193.8 | 16.1 | 209.9 | |||
| 320 | 200.0 | 15.6 | 215.6 | |||
| 330 | 206.3 | 15.2 | 221.4 | |||
| 340 | 212.5 | 14.7 | 227.2 | |||
| 350 | 218.8 | 14.3 | 233.0 | |||
| 360 | 225.0 | 13.9 | 238.9 | |||
| 370 | 231.3 | 13.5 | 244.8 | |||
| 380 | 237.5 | 13.2 | 250.7 | |||
| 390 | 243.8 | 12.8 | 256.6 | |||
| 400 | 250.0 | 12.5 | 262.5 | |||
| 410 | 256.3 | 12.2 | 268.4 | |||
| 420 | 262.5 | 11.9 | 274.4 | |||
| 430 | 268.8 | 11.6 | 280.4 |
Cost Graph EOQ
Q
Total Holding Cost
Total Setup Cost
Total Cost
Order Quantity
Cost ($)
