---------------------------------------------------------------------------------------------------- Sample 1 ---------------------------------------------------------------------------------------------------- n : 16 Capital (C) : 2381 Costs (c) : 38 46 98 90 78 94 77 59 20 68 38 47 96 45 52 51 Selling price (s) : 71 74 96 54 86 83 76 54 74 93 77 76 55 64 61 82 Selling price (t) : 12 28 17 26 20 29 13 30 11 22 20 38 27 29 26 39 Maintenance cost (r) : 4 2 2 3 2 5 5 3 1 1 1 3 4 2 5 3 Probabilities (p) : 0.5731078550 0.5795111657 0.9268756625 0.7397095031 0.5253368402 0.5480902496 0.5854849508 0.9694755836 0.7586803088 0.7453277471 0.7922243691 0.5547825550 0.9107875602 0.7691855669 0.5033146180 0.5501874236 Probabilities (q) : 0.4871230108 0.3618905397 0.6091108115 0.5513095882 0.3468367168 0.1423434215 0.0820588242 0.8360261820 0.3282304770 0.2774640301 0.6711438510 0.1214282799 0.8695248946 0.5229406836 0.3617678793 0.3485256578 +++ Part 1: Best buying option Machine 0: 4 copies, cost = 152 Machine 1: 3 copies, cost = 138 Machine 2: 1 copies, cost = 98 Machine 3: 1 copies, cost = 90 Machine 4: 3 copies, cost = 234 Machine 5: 2 copies, cost = 188 Machine 6: 3 copies, cost = 231 Machine 7: 1 copies, cost = 59 Machine 8: 7 copies, cost = 140 Machine 9: 4 copies, cost = 272 Machine 10: 5 copies, cost = 190 Machine 11: 3 copies, cost = 141 Machine 12: 1 copies, cost = 96 Machine 13: 2 copies, cost = 90 Machine 14: 2 copies, cost = 104 Machine 15: 3 copies, cost = 153 --- Total buying cost = 2376 --- Expected total profit = 887.50659222 +++ Part 2: Best buying option Machine 0: 5 copies, cost = 190 [Maintenance not needed] Machine 1: 5 copies, cost = 230 [Maintenance not needed] Machine 2: 4 copies, cost = 392 [Maintenance needed] Machine 3: 1 copies, cost = 90 [Maintenance needed] Machine 4: 2 copies, cost = 156 [Maintenance needed] Machine 5: 1 copies, cost = 94 [Maintenance needed] Machine 6: 1 copies, cost = 77 [Maintenance needed] Machine 7: 1 copies, cost = 59 [Maintenance needed] Machine 8: 3 copies, cost = 60 [Maintenance needed] Machine 9: 3 copies, cost = 204 [Maintenance needed] Machine 10: 5 copies, cost = 190 [Maintenance needed] Machine 11: 1 copies, cost = 47 [Maintenance needed] Machine 12: 1 copies, cost = 96 [Maintenance not needed] Machine 13: 3 copies, cost = 135 [Maintenance needed] Machine 14: 3 copies, cost = 156 [Maintenance not needed] Machine 15: 4 copies, cost = 204 [Maintenance not needed] --- Total buying cost = 2380 --- Expected total profit = 999.14364318 ---------------------------------------------------------------------------------------------------- Sample 2 ---------------------------------------------------------------------------------------------------- n : 32 Capital (C) : 5457 Costs (c) : 36 66 97 84 31 43 25 20 55 69 62 30 42 68 72 62 20 41 96 61 92 82 80 55 54 70 55 31 79 33 48 36 Selling price (s) : 93 75 67 69 59 64 88 73 97 63 81 69 83 70 56 80 99 53 63 72 86 86 88 98 97 80 83 68 88 86 62 59 Selling price (t) : 36 36 37 39 38 34 19 10 26 15 17 16 18 21 37 26 20 20 25 37 17 35 39 22 34 35 31 35 25 30 28 27 Maintenance cost (r) : 4 2 2 1 2 4 1 5 2 4 4 1 3 3 4 5 1 1 2 3 2 2 2 3 4 4 1 3 2 2 3 1 Probabilities (p) : 0.7648044973 0.5204928867 0.9281088283 0.6746403131 0.5970423087 0.7584209483 0.9833113011 0.9897596030 0.8244488581 0.8454443951 0.7041867812 0.7699693245 0.7082903316 0.7221859536 0.6016748043 0.9383513960 0.8086374739 0.8125254653 0.6448626531 0.6117453769 0.5214771556 0.8904968809 0.8295883771 0.6887622877 0.6936495987 0.6535881542 0.7884303437 0.9406742244 0.6456223129 0.5620917627 0.8554962538 0.6240982672 Probabilities (q) : 0.4881783985 0.3828062643 0.6111888672 0.3272276229 0.1888406062 0.5438559615 0.4784244117 0.6975574803 0.6167476986 0.4804137674 0.6280713344 0.5592363861 0.6426711160 0.5391228655 0.2356564064 0.7829253488 0.6428923105 0.4925757062 0.0952313302 0.3840130540 0.4957798282 0.5273581736 0.7583615952 0.3181113357 0.5236231880 0.4859585639 0.4388783726 0.4439908261 0.5288024898 0.4150375133 0.5815662452 0.0443937349 +++ Part 1: Best buying option Machine 0: 6 copies, cost = 216 Machine 1: 3 copies, cost = 198 Machine 2: 1 copies, cost = 97 Machine 3: 2 copies, cost = 168 Machine 4: 3 copies, cost = 93 Machine 5: 3 copies, cost = 129 Machine 6: 1 copies, cost = 25 Machine 7: 1 copies, cost = 20 Machine 8: 6 copies, cost = 330 Machine 9: 2 copies, cost = 138 Machine 10: 4 copies, cost = 248 Machine 11: 7 copies, cost = 210 Machine 12: 6 copies, cost = 252 Machine 13: 3 copies, cost = 204 Machine 14: 1 copies, cost = 72 Machine 15: 1 copies, cost = 62 Machine 16: 11 copies, cost = 220 Machine 17: 4 copies, cost = 164 Machine 18: 2 copies, cost = 192 Machine 19: 3 copies, cost = 183 Machine 20: 3 copies, cost = 276 Machine 21: 1 copies, cost = 82 Machine 22: 2 copies, cost = 160 Machine 23: 5 copies, cost = 275 Machine 24: 5 copies, cost = 270 Machine 25: 3 copies, cost = 210 Machine 26: 5 copies, cost = 275 Machine 27: 1 copies, cost = 31 Machine 28: 3 copies, cost = 237 Machine 29: 4 copies, cost = 132 Machine 30: 3 copies, cost = 144 Machine 31: 4 copies, cost = 144 --- Total buying cost = 5457 --- Expected total profit = 1814.43283229 +++ Part 2: Best buying option Machine 0: 8 copies, cost = 288 [Maintenance not needed] Machine 1: 3 copies, cost = 198 [Maintenance not needed] Machine 2: 1 copies, cost = 97 [Maintenance needed] Machine 3: 2 copies, cost = 168 [Maintenance needed] Machine 4: 1 copies, cost = 31 [Maintenance needed] Machine 5: 5 copies, cost = 215 [Maintenance not needed] Machine 6: 4 copies, cost = 100 [Maintenance needed] Machine 7: 4 copies, cost = 80 [Maintenance needed] Machine 8: 4 copies, cost = 220 [Maintenance needed] Machine 9: 2 copies, cost = 138 [Maintenance needed] Machine 10: 5 copies, cost = 310 [Maintenance not needed] Machine 11: 4 copies, cost = 120 [Maintenance needed] Machine 12: 7 copies, cost = 294 [Maintenance not needed] Machine 13: 3 copies, cost = 204 [Maintenance needed] Machine 14: 1 copies, cost = 72 [Maintenance needed] Machine 15: 2 copies, cost = 124 [Maintenance needed] Machine 16: 7 copies, cost = 140 [Maintenance needed] Machine 17: 3 copies, cost = 123 [Maintenance needed] Machine 18: 1 copies, cost = 96 [Maintenance needed] Machine 19: 2 copies, cost = 122 [Maintenance needed] Machine 20: 3 copies, cost = 276 [Maintenance not needed] Machine 21: 3 copies, cost = 246 [Maintenance needed] Machine 22: 3 copies, cost = 240 [Maintenance needed] Machine 23: 2 copies, cost = 110 [Maintenance needed] Machine 24: 6 copies, cost = 324 [Maintenance not needed] Machine 25: 4 copies, cost = 280 [Maintenance not needed] Machine 26: 3 copies, cost = 165 [Maintenance needed] Machine 27: 2 copies, cost = 62 [Maintenance needed] Machine 28: 4 copies, cost = 316 [Maintenance not needed] Machine 29: 5 copies, cost = 165 [Maintenance not needed] Machine 30: 2 copies, cost = 96 [Maintenance needed] Machine 31: 1 copies, cost = 36 [Maintenance needed] --- Total buying cost = 5456 --- Expected total profit = 2061.79485009 ---------------------------------------------------------------------------------------------------- Sample 3 ---------------------------------------------------------------------------------------------------- n : 64 Capital (C) : 7963 Costs (c) : 31 63 95 22 95 72 56 29 38 79 81 75 95 53 49 31 78 61 52 97 50 47 82 35 71 24 41 96 28 73 31 54 78 77 23 70 63 71 38 85 82 89 56 95 23 44 85 78 97 24 54 32 40 70 89 80 69 89 63 42 87 55 66 67 Selling price (s) : 80 61 54 53 72 70 58 75 77 51 60 80 69 52 53 74 59 87 69 87 57 63 56 78 90 98 54 87 60 78 68 61 80 88 91 82 57 81 52 82 79 81 57 75 84 93 50 73 71 66 81 99 55 73 60 67 89 89 74 82 52 87 94 59 Selling price (t) : 29 22 11 22 24 36 36 28 31 25 15 11 17 39 16 15 21 23 30 20 34 19 21 17 35 28 28 19 15 39 26 30 25 12 11 23 35 12 25 34 37 29 36 13 15 12 25 11 14 18 14 34 27 26 27 25 12 36 14 32 15 22 21 18 Maintenance cost (r) : 1 5 1 5 2 4 4 4 4 5 1 5 3 1 1 5 2 3 5 1 1 3 4 1 2 4 4 3 3 3 5 1 3 2 4 5 5 5 2 1 3 3 2 2 3 3 2 2 4 5 5 4 1 2 5 2 5 1 1 1 3 1 5 2 Probabilities (p) : 0.9582896652 0.7136274708 0.9318546145 0.6124339053 0.9219830138 0.7224906379 0.8857598684 0.5164065959 0.9000138912 0.7118483059 0.6441025711 0.7831027474 0.8365788575 0.8079147443 0.6621901375 0.9064379485 0.7128283096 0.9698381687 0.8783090999 0.8458564951 0.9257185307 0.8416665224 0.8464548885 0.8945252150 0.9274800773 0.6994356491 0.6391391322 0.9587912604 0.9681529142 0.9192217530 0.8900623135 0.6019722256 0.8584247152 0.8359600261 0.8565429998 0.6739138198 0.7565872980 0.8917594968 0.8578993871 0.6150819255 0.7290863114 0.8955891649 0.6313993242 0.8041214730 0.9481703597 0.6773724666 0.5769831278 0.7517886335 0.5261198944 0.5108955966 0.8631502853 0.7651714085 0.9459769167 0.6157532740 0.5999410099 0.7323105290 0.8169791996 0.8247937650 0.7941197603 0.7806375855 0.5008340958 0.8053471231 0.6127925921 0.9462932753 Probabilities (q) : 0.4127959621 0.6086033733 0.1578399984 0.1460281666 0.4531115268 0.1447531176 0.7680074617 0.3052073689 0.5565999755 0.2361073775 0.3339865897 0.2608378494 0.8221613152 0.7845714115 0.1855280639 0.3166939781 0.1010488052 0.5566752813 0.8312693606 0.8325728339 0.2072802190 0.0411851416 0.2603860809 0.1928609763 0.8232517412 0.3314343536 0.4114754587 0.5271924557 0.4785988490 0.6830454267 0.6571039649 0.3415255607 0.5429040585 0.6941691481 0.1937894977 0.0742223934 0.7524088200 0.4349574445 0.1068643280 0.2658381718 0.3640129385 0.4144041628 0.2943027540 0.0634642359 0.3204951445 0.6574964127 0.1396171505 0.1310631815 0.1426095406 0.3708030575 0.4670266128 0.0414169387 0.4739584854 0.0645624779 0.4824132199 0.2407287633 0.0103089552 0.2263432655 0.3066083318 0.1934025174 0.3948474721 0.1982991170 0.3565352166 0.9061376866 +++ Part 1: Best buying option Machine 0: 1 copies, cost = 31 Machine 1: 2 copies, cost = 126 Machine 2: 1 copies, cost = 95 Machine 3: 4 copies, cost = 88 Machine 4: 1 copies, cost = 95 Machine 5: 1 copies, cost = 72 Machine 6: 1 copies, cost = 56 Machine 7: 4 copies, cost = 116 Machine 8: 2 copies, cost = 76 Machine 9: 1 copies, cost = 79 Machine 10: 2 copies, cost = 162 Machine 11: 3 copies, cost = 225 Machine 12: 1 copies, cost = 95 Machine 13: 1 copies, cost = 53 Machine 14: 3 copies, cost = 147 Machine 15: 6 copies, cost = 186 Machine 16: 1 copies, cost = 78 Machine 17: 1 copies, cost = 61 Machine 18: 1 copies, cost = 52 Machine 19: 1 copies, cost = 97 Machine 20: 1 copies, cost = 50 Machine 21: 3 copies, cost = 141 Machine 22: 1 copies, cost = 82 Machine 23: 6 copies, cost = 210 Machine 24: 1 copies, cost = 71 Machine 25: 6 copies, cost = 144 Machine 26: 2 copies, cost = 82 Machine 27: 1 copies, cost = 96 Machine 28: 1 copies, cost = 28 Machine 29: 1 copies, cost = 73 Machine 30: 4 copies, cost = 124 Machine 31: 2 copies, cost = 108 Machine 32: 1 copies, cost = 78 Machine 33: 3 copies, cost = 231 Machine 34: 11 copies, cost = 253 Machine 35: 3 copies, cost = 210 Machine 36: 1 copies, cost = 63 Machine 37: 1 copies, cost = 71 Machine 38: 1 copies, cost = 38 Machine 39: 2 copies, cost = 170 Machine 40: 2 copies, cost = 164 Machine 41: 1 copies, cost = 89 Machine 42: 1 copies, cost = 56 Machine 43: 2 copies, cost = 190 Machine 44: 8 copies, cost = 184 Machine 45: 5 copies, cost = 220 Machine 46: 1 copies, cost = 85 Machine 47: 3 copies, cost = 234 Machine 48: 2 copies, cost = 194 Machine 49: 4 copies, cost = 96 Machine 50: 4 copies, cost = 216 Machine 51: 6 copies, cost = 192 Machine 52: 1 copies, cost = 40 Machine 53: 2 copies, cost = 140 Machine 54: 1 copies, cost = 89 Machine 55: 1 copies, cost = 80 Machine 56: 4 copies, cost = 276 Machine 57: 1 copies, cost = 89 Machine 58: 3 copies, cost = 189 Machine 59: 4 copies, cost = 168 Machine 60: 2 copies, cost = 174 Machine 61: 4 copies, cost = 220 Machine 62: 3 copies, cost = 198 Machine 63: 1 copies, cost = 67 --- Total buying cost = 7963 --- Expected total profit = 2797.24046199 +++ Part 2: Best buying option Machine 0: 3 copies, cost = 93 [Maintenance needed] Machine 1: 4 copies, cost = 252 [Maintenance not needed] Machine 2: 1 copies, cost = 95 [Maintenance needed] Machine 3: 5 copies, cost = 110 [Maintenance not needed] Machine 4: 2 copies, cost = 190 [Maintenance needed] Machine 5: 1 copies, cost = 72 [Maintenance needed] Machine 6: 1 copies, cost = 56 [Maintenance not needed] Machine 7: 5 copies, cost = 145 [Maintenance not needed] Machine 8: 2 copies, cost = 76 [Maintenance needed] Machine 9: 1 copies, cost = 79 [Maintenance needed] Machine 10: 2 copies, cost = 162 [Maintenance needed] Machine 11: 2 copies, cost = 150 [Maintenance needed] Machine 12: 2 copies, cost = 190 [Maintenance not needed] Machine 13: 1 copies, cost = 53 [Maintenance not needed] Machine 14: 2 copies, cost = 98 [Maintenance needed] Machine 15: 2 copies, cost = 62 [Maintenance needed] Machine 16: 1 copies, cost = 78 [Maintenance needed] Machine 17: 3 copies, cost = 183 [Maintenance needed] Machine 18: 3 copies, cost = 156 [Maintenance not needed] Machine 19: 4 copies, cost = 388 [Maintenance not needed] Machine 20: 1 copies, cost = 50 [Maintenance needed] Machine 21: 1 copies, cost = 47 [Maintenance needed] Machine 22: 1 copies, cost = 82 [Maintenance needed] Machine 23: 2 copies, cost = 70 [Maintenance needed] Machine 24: 2 copies, cost = 142 [Maintenance needed] Machine 25: 8 copies, cost = 192 [Maintenance not needed] Machine 26: 3 copies, cost = 123 [Maintenance not needed] Machine 27: 2 copies, cost = 192 [Maintenance needed] Machine 28: 3 copies, cost = 84 [Maintenance needed] Machine 29: 2 copies, cost = 146 [Maintenance needed] Machine 30: 2 copies, cost = 62 [Maintenance needed] Machine 31: 2 copies, cost = 108 [Maintenance needed] Machine 32: 2 copies, cost = 156 [Maintenance needed] Machine 33: 4 copies, cost = 308 [Maintenance needed] Machine 34: 2 copies, cost = 46 [Maintenance needed] Machine 35: 1 copies, cost = 70 [Maintenance needed] Machine 36: 1 copies, cost = 63 [Maintenance not needed] Machine 37: 2 copies, cost = 142 [Maintenance needed] Machine 38: 1 copies, cost = 38 [Maintenance needed] Machine 39: 2 copies, cost = 170 [Maintenance needed] Machine 40: 2 copies, cost = 164 [Maintenance needed] Machine 41: 2 copies, cost = 178 [Maintenance needed] Machine 42: 1 copies, cost = 56 [Maintenance needed] Machine 43: 1 copies, cost = 95 [Maintenance needed] Machine 44: 3 copies, cost = 69 [Maintenance needed] Machine 45: 6 copies, cost = 264 [Maintenance not needed] Machine 46: 1 copies, cost = 85 [Maintenance needed] Machine 47: 2 copies, cost = 156 [Maintenance needed] Machine 48: 1 copies, cost = 97 [Maintenance needed] Machine 49: 5 copies, cost = 120 [Maintenance not needed] Machine 50: 2 copies, cost = 108 [Maintenance needed] Machine 51: 1 copies, cost = 32 [Maintenance needed] Machine 52: 2 copies, cost = 80 [Maintenance needed] Machine 53: 1 copies, cost = 70 [Maintenance needed] Machine 54: 2 copies, cost = 178 [Maintenance not needed] Machine 55: 2 copies, cost = 160 [Maintenance needed] Machine 56: 1 copies, cost = 69 [Maintenance needed] Machine 57: 2 copies, cost = 178 [Maintenance needed] Machine 58: 2 copies, cost = 126 [Maintenance needed] Machine 59: 2 copies, cost = 84 [Maintenance needed] Machine 60: 2 copies, cost = 174 [Maintenance not needed] Machine 61: 2 copies, cost = 110 [Maintenance needed] Machine 62: 4 copies, cost = 264 [Maintenance not needed] Machine 63: 1 copies, cost = 67 [Maintenance not needed] --- Total buying cost = 7963 --- Expected total profit = 3788.07412681 ---------------------------------------------------------------------------------------------------- Sample 4 ---------------------------------------------------------------------------------------------------- n : 128 Capital (C) : 17723 Costs (c) : 70 93 68 22 35 76 91 64 33 55 61 53 48 92 90 38 97 57 61 45 83 90 50 37 39 57 43 73 68 43 83 71 69 23 49 46 68 28 81 53 82 36 64 35 97 96 30 59 62 20 75 59 82 31 81 95 53 21 64 41 40 33 77 78 51 45 31 35 99 57 78 48 28 54 24 88 70 81 97 97 99 99 47 41 37 92 49 79 65 32 35 50 46 50 34 52 53 74 97 29 36 37 42 42 62 30 53 72 28 25 77 67 51 95 70 44 31 36 60 55 43 54 66 81 27 28 35 30 Selling price (s) : 90 61 53 65 86 73 50 64 73 72 56 55 91 99 64 87 86 76 89 61 57 60 65 51 94 66 82 87 98 62 82 58 53 61 97 52 72 89 80 62 82 96 96 73 95 52 59 78 79 88 79 74 74 75 95 76 67 98 86 73 89 83 87 54 83 69 71 67 99 55 80 60 57 98 86 84 87 83 53 84 86 82 71 73 52 95 76 95 78 69 55 66 95 71 92 52 65 77 50 72 61 80 96 53 72 75 70 67 62 84 62 97 72 62 58 52 61 71 79 87 69 88 99 51 84 76 84 87 Selling price (t) : 17 29 17 24 12 34 16 10 18 15 14 26 15 12 11 10 21 39 25 30 13 36 22 10 34 20 24 17 37 21 33 31 36 13 29 17 14 19 12 15 26 39 27 35 24 33 37 11 38 25 21 36 38 21 22 23 23 33 32 24 14 18 34 38 31 35 16 11 18 35 25 23 22 23 22 17 21 32 39 22 27 16 37 29 20 25 32 13 23 21 22 14 22 39 21 39 15 27 25 34 36 18 26 18 30 30 20 18 19 16 31 29 33 25 21 18 30 33 10 31 21 26 29 24 18 15 32 11 Maintenance cost (r) : 1 3 5 5 2 1 3 2 4 1 4 2 3 5 3 5 4 2 5 2 4 5 2 4 4 4 3 2 2 2 3 2 1 3 1 5 5 2 2 3 3 4 1 1 4 5 1 1 1 3 5 1 3 5 5 3 4 2 5 1 1 5 5 4 1 4 3 2 1 2 3 4 2 3 3 4 4 5 2 2 3 3 2 2 4 3 3 5 4 1 3 5 5 2 5 3 5 2 3 4 4 5 2 2 5 3 3 5 3 1 2 5 2 3 5 4 2 4 4 3 4 2 4 2 5 3 3 3 Probabilities (p) : 0.5503429594 0.7886330456 0.6283458055 0.8259115852 0.7042810499 0.5626267528 0.8536826048 0.9980818862 0.6882381712 0.6228529541 0.6488762152 0.9378212685 0.9064284008 0.6854915452 0.9321388122 0.5718123080 0.6787062188 0.8449816659 0.6997061368 0.5684960697 0.9005355793 0.8185268938 0.6500619159 0.8870740774 0.5528366028 0.7794662566 0.5895828216 0.6519738341 0.7063460556 0.5383896986 0.8268506184 0.9172232458 0.8140025555 0.5728367856 0.9078376737 0.8336749602 0.9531810130 0.8322709572 0.5064519621 0.7865304951 0.8865272807 0.7377892799 0.8745672046 0.7942981034 0.7244975237 0.7403345805 0.9515046882 0.6937547762 0.5305283347 0.7265573257 0.9430374314 0.8982293389 0.7970959399 0.6896869185 0.6663300391 0.5119487983 0.8982341270 0.6145590868 0.5358792993 0.8834638497 0.6312837855 0.9971922555 0.5881097936 0.7835769887 0.7271101874 0.7469476870 0.7881036861 0.5792100930 0.5315721820 0.8839553056 0.8002440309 0.5713185072 0.8482703729 0.9894896068 0.7336682827 0.6778456211 0.6169866149 0.7483170558 0.7886349919 0.6461502773 0.9772353403 0.6608341076 0.8176934085 0.7963771137 0.6344254197 0.8650445632 0.5695581378 0.6745993759 0.5269866143 0.7960775387 0.7463249072 0.5434227972 0.7421743962 0.6545650617 0.7926158452 0.8376085811 0.6922035519 0.5639797696 0.7599759932 0.7254139032 0.7435555515 0.5737631861 0.9347932688 0.8616287018 0.8548775303 0.9786464965 0.9808857413 0.7317684774 0.5195037313 0.5444656580 0.5176297289 0.5271144600 0.5621924319 0.7088427745 0.9512580989 0.7962992307 0.5211718474 0.6251243076 0.5390419709 0.8292701993 0.6444091162 0.8124176677 0.7193260895 0.9596911238 0.7686371746 0.7445814990 0.9198423684 0.6845695524 Probabilities (q) : 0.3997334139 0.4750460576 0.5601247654 0.4273144975 0.3751285874 0.4043467711 0.3895887822 0.5825136081 0.3678726497 0.3020683923 0.0034964086 0.9269023160 0.5126261195 0.3338063887 0.0175293287 0.3481056784 0.3488824365 0.5500213333 0.1504518488 0.0827384174 0.4359667763 0.5340905692 0.4567872258 0.6257753326 0.3164575944 0.3137044119 0.3644098535 0.3925552990 0.6061477460 0.2784442089 0.6225384785 0.9006389117 0.0882282964 0.5484230759 0.5794414132 0.8228034924 0.8749582866 0.6415197245 0.3293490662 0.5733334674 0.2988552357 0.0293730417 0.2963179006 0.5150584323 0.5859264754 0.4870379520 0.3390976262 0.5658617892 0.1595659828 0.7177047495 0.7230153064 0.2872467050 0.6226599192 0.2166884737 0.0451450963 0.1477190114 0.7720707591 0.1916949290 0.1930821256 0.3809045862 0.1205258204 0.9544845365 0.0975233734 0.4168129407 0.3263246374 0.0620732641 0.7861899469 0.3256712099 0.4648838077 0.0284049974 0.6392776486 0.2162840573 0.4626793821 0.2264918350 0.6332226823 0.3824856228 0.6158231219 0.4833307935 0.1833898089 0.3761245684 0.4290438528 0.6385311393 0.5193693593 0.4743942312 0.3386686359 0.3972256575 0.2948904895 0.2955812727 0.2962225212 0.5685342157 0.7178445906 0.3303030381 0.5391904883 0.2325535420 0.5652275352 0.1729622333 0.4962753875 0.5175254044 0.0868580392 0.0188198827 0.0587573937 0.5136322269 0.8207074945 0.2043678448 0.3853328474 0.7740621610 0.0210352812 0.5202413052 0.0415412165 0.5149250141 0.4553268136 0.5196766357 0.5315189544 0.2361431883 0.2527338174 0.5264621488 0.2630423318 0.5272340253 0.0935289162 0.1958465620 0.5956936147 0.6883275311 0.2324342037 0.3714244708 0.2274268410 0.4446701992 0.6133613012 0.6135495418 +++ Part 1: Best buying option Machine 0: 3 copies, cost = 210 Machine 1: 1 copies, cost = 93 Machine 2: 2 copies, cost = 136 Machine 3: 6 copies, cost = 132 Machine 4: 6 copies, cost = 210 Machine 5: 2 copies, cost = 152 Machine 6: 1 copies, cost = 91 Machine 7: 1 copies, cost = 64 Machine 8: 5 copies, cost = 165 Machine 9: 3 copies, cost = 165 Machine 10: 2 copies, cost = 122 Machine 11: 1 copies, cost = 53 Machine 12: 4 copies, cost = 192 Machine 13: 3 copies, cost = 276 Machine 14: 1 copies, cost = 90 Machine 15: 4 copies, cost = 152 Machine 16: 2 copies, cost = 194 Machine 17: 1 copies, cost = 57 Machine 18: 4 copies, cost = 244 Machine 19: 2 copies, cost = 90 Machine 20: 1 copies, cost = 83 Machine 21: 1 copies, cost = 90 Machine 22: 3 copies, cost = 150 Machine 23: 2 copies, cost = 74 Machine 24: 4 copies, cost = 156 Machine 25: 3 copies, cost = 171 Machine 26: 4 copies, cost = 172 Machine 27: 3 copies, cost = 219 Machine 28: 3 copies, cost = 204 Machine 29: 3 copies, cost = 129 Machine 30: 1 copies, cost = 83 Machine 31: 1 copies, cost = 71 Machine 32: 1 copies, cost = 69 Machine 33: 4 copies, cost = 92 Machine 34: 3 copies, cost = 147 Machine 35: 2 copies, cost = 92 Machine 36: 1 copies, cost = 68 Machine 37: 8 copies, cost = 224 Machine 38: 3 copies, cost = 243 Machine 39: 3 copies, cost = 159 Machine 40: 1 copies, cost = 82 Machine 41: 5 copies, cost = 180 Machine 42: 3 copies, cost = 192 Machine 43: 4 copies, cost = 140 Machine 44: 3 copies, cost = 291 Machine 45: 1 copies, cost = 96 Machine 46: 1 copies, cost = 30 Machine 47: 4 copies, cost = 236 Machine 48: 2 copies, cost = 124 Machine 49: 7 copies, cost = 140 Machine 50: 1 copies, cost = 75 Machine 51: 1 copies, cost = 59 Machine 52: 1 copies, cost = 82 Machine 53: 5 copies, cost = 155 Machine 54: 3 copies, cost = 243 Machine 55: 2 copies, cost = 190 Machine 56: 1 copies, cost = 53 Machine 57: 5 copies, cost = 105 Machine 58: 3 copies, cost = 192 Machine 59: 3 copies, cost = 123 Machine 60: 5 copies, cost = 200 Machine 61: 1 copies, cost = 33 Machine 62: 2 copies, cost = 154 Machine 63: 1 copies, cost = 78 Machine 64: 4 copies, cost = 204 Machine 65: 3 copies, cost = 135 Machine 66: 6 copies, cost = 186 Machine 67: 4 copies, cost = 140 Machine 68: 3 copies, cost = 297 Machine 69: 1 copies, cost = 57 Machine 70: 2 copies, cost = 156 Machine 71: 3 copies, cost = 144 Machine 72: 4 copies, cost = 112 Machine 73: 1 copies, cost = 54 Machine 74: 7 copies, cost = 168 Machine 75: 3 copies, cost = 264 Machine 76: 3 copies, cost = 210 Machine 77: 2 copies, cost = 162 Machine 78: 1 copies, cost = 97 Machine 79: 2 copies, cost = 194 Machine 80: 1 copies, cost = 99 Machine 81: 2 copies, cost = 198 Machine 82: 2 copies, cost = 94 Machine 83: 4 copies, cost = 164 Machine 84: 3 copies, cost = 111 Machine 85: 1 copies, cost = 92 Machine 86: 3 copies, cost = 147 Machine 87: 3 copies, cost = 237 Machine 88: 3 copies, cost = 195 Machine 89: 5 copies, cost = 160 Machine 90: 3 copies, cost = 105 Machine 91: 3 copies, cost = 150 Machine 92: 5 copies, cost = 230 Machine 93: 2 copies, cost = 100 Machine 94: 7 copies, cost = 238 Machine 95: 1 copies, cost = 52 Machine 96: 3 copies, cost = 159 Machine 97: 2 copies, cost = 148 Machine 98: 1 copies, cost = 97 Machine 99: 4 copies, cost = 116 Machine 100: 2 copies, cost = 72 Machine 101: 4 copies, cost = 148 Machine 102: 2 copies, cost = 84 Machine 103: 1 copies, cost = 42 Machine 104: 1 copies, cost = 62 Machine 105: 1 copies, cost = 30 Machine 106: 1 copies, cost = 53 Machine 107: 2 copies, cost = 144 Machine 108: 3 copies, cost = 84 Machine 109: 5 copies, cost = 125 Machine 110: 1 copies, cost = 77 Machine 111: 3 copies, cost = 201 Machine 112: 3 copies, cost = 153 Machine 113: 1 copies, cost = 95 Machine 114: 1 copies, cost = 70 Machine 115: 2 copies, cost = 88 Machine 116: 3 copies, cost = 93 Machine 117: 3 copies, cost = 108 Machine 118: 3 copies, cost = 180 Machine 119: 3 copies, cost = 165 Machine 120: 4 copies, cost = 172 Machine 121: 4 copies, cost = 216 Machine 122: 4 copies, cost = 264 Machine 123: 1 copies, cost = 81 Machine 124: 7 copies, cost = 189 Machine 125: 6 copies, cost = 168 Machine 126: 2 copies, cost = 70 Machine 127: 6 copies, cost = 180 --- Total buying cost = 17723 --- Expected total profit = 6741.24002406 +++ Part 2: Best buying option Machine 0: 3 copies, cost = 210 [Maintenance needed] Machine 1: 1 copies, cost = 93 [Maintenance needed] Machine 2: 3 copies, cost = 204 [Maintenance not needed] Machine 3: 9 copies, cost = 198 [Maintenance not needed] Machine 4: 3 copies, cost = 105 [Maintenance needed] Machine 5: 2 copies, cost = 152 [Maintenance needed] Machine 6: 1 copies, cost = 91 [Maintenance needed] Machine 7: 3 copies, cost = 192 [Maintenance needed] Machine 8: 6 copies, cost = 198 [Maintenance not needed] Machine 9: 2 copies, cost = 110 [Maintenance needed] Machine 10: 1 copies, cost = 61 [Maintenance needed] Machine 11: 1 copies, cost = 53 [Maintenance not needed] Machine 12: 3 copies, cost = 144 [Maintenance needed] Machine 13: 2 copies, cost = 184 [Maintenance needed] Machine 14: 1 copies, cost = 90 [Maintenance needed] Machine 15: 5 copies, cost = 190 [Maintenance not needed] Machine 16: 2 copies, cost = 194 [Maintenance needed] Machine 17: 2 copies, cost = 114 [Maintenance needed] Machine 18: 1 copies, cost = 61 [Maintenance needed] Machine 19: 1 copies, cost = 45 [Maintenance needed] Machine 20: 2 copies, cost = 166 [Maintenance needed] Machine 21: 1 copies, cost = 90 [Maintenance needed] Machine 22: 2 copies, cost = 100 [Maintenance needed] Machine 23: 2 copies, cost = 74 [Maintenance needed] Machine 24: 5 copies, cost = 195 [Maintenance not needed] Machine 25: 2 copies, cost = 114 [Maintenance needed] Machine 26: 5 copies, cost = 215 [Maintenance not needed] Machine 27: 2 copies, cost = 146 [Maintenance needed] Machine 28: 5 copies, cost = 340 [Maintenance not needed] Machine 29: 2 copies, cost = 86 [Maintenance needed] Machine 30: 2 copies, cost = 166 [Maintenance needed] Machine 31: 1 copies, cost = 71 [Maintenance not needed] Machine 32: 1 copies, cost = 69 [Maintenance needed] Machine 33: 5 copies, cost = 115 [Maintenance not needed] Machine 34: 4 copies, cost = 196 [Maintenance needed] Machine 35: 4 copies, cost = 184 [Maintenance not needed] Machine 36: 1 copies, cost = 68 [Maintenance not needed] Machine 37: 5 copies, cost = 140 [Maintenance needed] Machine 38: 2 copies, cost = 162 [Maintenance needed] Machine 39: 3 copies, cost = 159 [Maintenance needed] Machine 40: 2 copies, cost = 164 [Maintenance needed] Machine 41: 1 copies, cost = 36 [Maintenance needed] Machine 42: 2 copies, cost = 128 [Maintenance needed] Machine 43: 3 copies, cost = 105 [Maintenance needed] Machine 44: 4 copies, cost = 388 [Maintenance not needed] Machine 45: 1 copies, cost = 96 [Maintenance not needed] Machine 46: 2 copies, cost = 60 [Maintenance needed] Machine 47: 4 copies, cost = 236 [Maintenance needed] Machine 48: 2 copies, cost = 124 [Maintenance needed] Machine 49: 8 copies, cost = 160 [Maintenance not needed] Machine 50: 2 copies, cost = 150 [Maintenance needed] Machine 51: 2 copies, cost = 118 [Maintenance needed] Machine 52: 2 copies, cost = 164 [Maintenance needed] Machine 53: 2 copies, cost = 62 [Maintenance needed] Machine 54: 1 copies, cost = 81 [Maintenance needed] Machine 55: 1 copies, cost = 95 [Maintenance needed] Machine 56: 2 copies, cost = 106 [Maintenance needed] Machine 57: 2 copies, cost = 42 [Maintenance needed] Machine 58: 1 copies, cost = 64 [Maintenance needed] Machine 59: 3 copies, cost = 123 [Maintenance needed] Machine 60: 2 copies, cost = 80 [Maintenance needed] Machine 61: 1 copies, cost = 33 [Maintenance not needed] Machine 62: 1 copies, cost = 77 [Maintenance needed] Machine 63: 1 copies, cost = 78 [Maintenance needed] Machine 64: 2 copies, cost = 102 [Maintenance needed] Machine 65: 1 copies, cost = 45 [Maintenance needed] Machine 66: 8 copies, cost = 248 [Maintenance not needed] Machine 67: 2 copies, cost = 70 [Maintenance needed] Machine 68: 3 copies, cost = 297 [Maintenance needed] Machine 69: 1 copies, cost = 57 [Maintenance needed] Machine 70: 3 copies, cost = 234 [Maintenance needed] Machine 71: 1 copies, cost = 48 [Maintenance needed] Machine 72: 3 copies, cost = 84 [Maintenance needed] Machine 73: 2 copies, cost = 108 [Maintenance needed] Machine 74: 8 copies, cost = 192 [Maintenance not needed] Machine 75: 2 copies, cost = 176 [Maintenance needed] Machine 76: 4 copies, cost = 280 [Maintenance not needed] Machine 77: 2 copies, cost = 162 [Maintenance needed] Machine 78: 1 copies, cost = 97 [Maintenance needed] Machine 79: 2 copies, cost = 194 [Maintenance needed] Machine 80: 2 copies, cost = 198 [Maintenance needed] Machine 81: 4 copies, cost = 396 [Maintenance not needed] Machine 82: 2 copies, cost = 94 [Maintenance needed] Machine 83: 3 copies, cost = 123 [Maintenance needed] Machine 84: 4 copies, cost = 148 [Maintenance not needed] Machine 85: 2 copies, cost = 184 [Maintenance needed] Machine 86: 2 copies, cost = 98 [Maintenance needed] Machine 87: 2 copies, cost = 158 [Maintenance needed] Machine 88: 3 copies, cost = 195 [Maintenance not needed] Machine 89: 4 copies, cost = 128 [Maintenance needed] Machine 90: 5 copies, cost = 175 [Maintenance not needed] Machine 91: 4 copies, cost = 200 [Maintenance not needed] Machine 92: 7 copies, cost = 322 [Maintenance not needed] Machine 93: 2 copies, cost = 100 [Maintenance needed] Machine 94: 9 copies, cost = 306 [Maintenance not needed] Machine 95: 1 copies, cost = 52 [Maintenance needed] Machine 96: 5 copies, cost = 265 [Maintenance not needed] Machine 97: 3 copies, cost = 222 [Maintenance not needed] Machine 98: 1 copies, cost = 97 [Maintenance needed] Machine 99: 1 copies, cost = 29 [Maintenance needed] Machine 100: 1 copies, cost = 36 [Maintenance needed] Machine 101: 5 copies, cost = 185 [Maintenance not needed] Machine 102: 5 copies, cost = 210 [Maintenance needed] Machine 103: 2 copies, cost = 84 [Maintenance needed] Machine 104: 2 copies, cost = 124 [Maintenance needed] Machine 105: 3 copies, cost = 90 [Maintenance needed] Machine 106: 1 copies, cost = 53 [Maintenance needed] Machine 107: 4 copies, cost = 288 [Maintenance not needed] Machine 108: 1 copies, cost = 28 [Maintenance needed] Machine 109: 5 copies, cost = 125 [Maintenance not needed] Machine 110: 2 copies, cost = 154 [Maintenance not needed] Machine 111: 4 copies, cost = 268 [Maintenance not needed] Machine 112: 3 copies, cost = 153 [Maintenance not needed] Machine 113: 1 copies, cost = 95 [Maintenance needed] Machine 114: 1 copies, cost = 70 [Maintenance needed] Machine 115: 2 copies, cost = 88 [Maintenance needed] Machine 116: 2 copies, cost = 62 [Maintenance needed] Machine 117: 4 copies, cost = 144 [Maintenance not needed] Machine 118: 1 copies, cost = 60 [Maintenance needed] Machine 119: 2 copies, cost = 110 [Maintenance needed] Machine 120: 5 copies, cost = 215 [Maintenance not needed] Machine 121: 4 copies, cost = 216 [Maintenance needed] Machine 122: 2 copies, cost = 132 [Maintenance needed] Machine 123: 1 copies, cost = 81 [Maintenance needed] Machine 124: 2 copies, cost = 54 [Maintenance needed] Machine 125: 3 copies, cost = 84 [Maintenance needed] Machine 126: 3 copies, cost = 105 [Maintenance needed] Machine 127: 7 copies, cost = 210 [Maintenance not needed] --- Total buying cost = 17723 --- Expected total profit = 7969.01443555