Examen Final Por_jose Anaya

8/19/2019 Examen Final Por_jose Anaya

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min maxA 250000 315000B 150000 175000

un almacen debera almacenar 2 productos los productos a y b ladel producto a es de 250000 unidades y la demanda maxima del

del producto b la demanda minima es 150000 y la maxima es 175fuctuaria con una distribucion nomarl de 10,1 pesos y el costo del

una unidorme de 13,15 pesos el precio de venta del producto auniorme de 16,1 pesos y la del b una normal de 21,2 pesos del p

por ca#a y del producto b 36 productos por ca#a y en ambos caso

palet es de 12 la rotacion d$l pordutco a es de 1%5 la rotacion dellos rac& tienen ! posiciones es un almacen conv


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demanda pronosticada pie"as en ca#a ca#as en palet rotacion unidades2670!0 2! 12 1%5 17026%667162!7 36 12 0%75 2166!%5'

emanda minima mensuala es de 315000 unidades00 el costo del producto aproducto b fuctuaria contendria una distribucionroducto a caben 2! pie"asla cantidad de ca#as por

b es de %75 en el lamcenncional


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posiciones (A)*+ -)% .2 -/-)+ 4- A.A)-61%1!1! 3' !53501%501'' 32 372

1120 71 23%6


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x P(x) F(x) intervalos

250000 0%01515152 0%01515152 0 0%01515152251000 0%01515152 0%03030303 0%01515152 0%03030303252000 0%01515152 0%0!5!5!55 0%03030303 0%0!5!5!55253000 0%01515152 0%06060606 0%0!5!5!55 0%0606060625!000 0%01515152 0%0757575 0%06060606 0%0757575

255000 0%01515152 0%0'0'0'0' 0%0757575 0%0'0'0'0'256000 0%01515152 0%10606061 0%0'0'0'0' 0%10606061257000 0%01515152 0%12121212 0%10606061 0%1212121225000 0%01515152 0%1363636! 0%12121212 0%1363636!25'000 0%01515152 0%15151515 0%1363636! 0%15151515260000 0%01515152 0%16666667 0%15151515 0%16666667261000 0%01515152 0%1111 0%16666667 0%1111262000 0%01515152 0%1'6'6'7 0%1111 0%1'6'6'7263000 0%01515152 0%21212121 0%1'6'6'7 0%2121212126!000 0%01515152 0%22727273 0%21212121 0%22727273

265000 0%01515152 0%2!2!2!2! 0%22727273 0%2!2!2!2!266000 0%01515152 0%25757576 0%2!2!2!2! 0%25757576267000 0%01515152 0%27272727 0%25757576 0%2727272726000 0%01515152 0%2777' 0%27272727 0%2777'26'000 0%01515152 0%3030303 0%2777' 0%3030303270000 0%01515152 0%31112 0%3030303 0%31112271000 0%01515152 0%33333333 0%31112 0%33333333272000 0%01515152 0%3!!!5 0%33333333 0%3!!!5273000 0%01515152 0%36363636 0%3!!!5 0%3636363627!000 0%01515152 0%3777 0%36363636 0%3777275000 0%01515152 0%3'3'3'3' 0%3777 0%3'3'3'3'276000 0%01515152 0%!0'0'0'1 0%3'3'3'3' 0%!0'0'0'1277000 0%01515152 0%!2!2!2!2 0%!0'0'0'1 0%!2!2!2!227000 0%01515152 0%!3'3'3'! 0%!2!2!2!2 0%!3'3'3'!27'000 0%01515152 0%!5!5!5!5 0%!3'3'3'! 0%!5!5!5!520000 0%01515152 0%!6'6'6'7 0%!5!5!5!5 0%!6'6'6'721000 0%01515152 0%!!!! 0%!6'6'6'7 0%!!!!22000 0%01515152 0%5 0%!!!! 0%523000 0%01515152 0%51515152 0%5 0%515151522!000 0%01515152 0%53030303 0%51515152 0%5303030325000 0%01515152 0%5!5!5!55 0%53030303 0%5!5!5!55

26000 0%01515152 0%56060606 0%5!5!5!55 0%5606060627000 0%01515152 0%5757575 0%56060606 0%57575752000 0%01515152 0%5'0'0'0' 0%5757575 0%5'0'0'0'2'000 0%01515152 0%60606061 0%5'0'0'0' 0%606060612'0000 0%01515152 0%62121212 0%60606061 0%621212122'1000 0%01515152 0%6363636! 0%62121212 0%6363636!2'2000 0%01515152 0%65151515 0%6363636! 0%651515152'3000 0%01515152 0%66666667 0%65151515 0%66666667


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2'!000 0%01515152 0%6111 0%66666667 0%61112'5000 0%01515152 0%6'6'6'7 0%6111 0%6'6'6'72'6000 0%01515152 0%71212121 0%6'6'6'7 0%712121212'7000 0%01515152 0%72727273 0%71212121 0%727272732'000 0%01515152 0%7!2!2!2! 0%72727273 0%7!2!2!2!2''000 0%01515152 0%75757576 0%7!2!2!2! 0%75757576

300000 0%01515152 0%77272727 0%75757576 0%77272727301000 0%01515152 0%7777' 0%77272727 0%7777'302000 0%01515152 0%030303 0%7777' 0%030303303000 0%01515152 0%1112 0%030303 0%111230!000 0%01515152 0%3333333 0%1112 0%3333333305000 0%01515152 0%!!!5 0%3333333 0%!!!5306000 0%01515152 0%6363636 0%!!!5 0%6363636307000 0%01515152 0%777 0%6363636 0%77730000 0%01515152 0%'3'3'3' 0%777 0%'3'3'3'30'000 0%01515152 0%'0'0'0'1 0%'3'3'3' 0%'0'0'0'1

310000 0%01515152 0%'2!2!2!2 0%'0'0'0'1 0%'2!2!2!2311000 0%01515152 0%'3'3'3'! 0%'2!2!2!2 0%'3'3'3'!312000 0%01515152 0%'5!5!5!5 0%'3'3'3'! 0%'5!5!5!5313000 0%01515152 0%'6'6'6'7 0%'5!5!5!5 0%'6'6'6'731!000 0%01515152 0%'!!! 0%'6'6'6'7 0%'!!!315000 0%01515152 1 0%'!!! 1


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31/131

.-4A 4-+ -+40%535'262 25000 23260 1'6!'0%6'735131 2'60000%55!100'1 26000 21'36 1'030%'5236315 3120000%''!'1567 315000

0%225021 30!0000%26207026 2670000%!3'!1!! 27'0000%!61670!! 200000%!7!5!5'5 210000%11'2622 2620000%0621!537 25!0000%!767!67! 210000%17'35!71 2610000%7!1155! 307000

0%676!''6 2'!0000%0150277 2500000%17'65625 2610000%05'7'1 2530000%556'5 20000%0''25!6 2560000%2316!23 26000

0%'310 31!0000%3056'2 2700000%61176! 2'00000%31!33!25 2700000%'2!73 31!0000%35!622 273000

0%32767763 2710000%0677006' 25!0000%57'7'5! 3060000%!7707 21000

0%'256'35 3110000%'337'633 3110000%020!13 302000

0%'0'01' 30'000

0%65636602 2'30000%0563515' 2530000%01'22731 2510000%7777!52 3010000%3233'322 2710000%160!5!21 2600000%537!66 25000

0%66015331 2'3000


32/131

0%171276 2620000%11'161' 3030000%5722155! 270000%00!32326 2500000%0522310! 2530000%'000!01 30'000

0%16!'563 3030000%67730712 2'!0000%!76'0' 210000%2!133'5 2660000%'5320! 312000

0%71361575 2'70000%00355001 2500000%1631055 2610000%2!333' 260000%5'15'1 306000

0%!7!62!2! 210000%'37!155 31!0000%555216' 260000%07!!2206 25!0000%'0311!5! 30'0000%75'0!6 3070000%5132'312 230000%02'365 2550000%5220!637 2!0000%00270'2 2550000%02'1'75 3020000%!'17172 22000

0%!'0'7 3060000%6572 307000

0%!!3'!15 3050000%51217002 230000%35!3!3'6 2730000%17!5!65 261000

0%3'125356 2750000%32'!5!3 2710000%70''52!7 2'6000

0%02772027 2510000%'57552' 313000

0%16233! 2620000%1103651 2570000%33!5250 2720000%1'72721 2630000%13''36 2620000%2533!5 267000


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0%532116'3 250000%100!!257 2560000%!72'5'6! 210000%0'0563 255000

0%7522207 3070000%''!023 315000

0%5372!!!3 250000%!37!32 3050000%7306701 2'0000%6'''!!56 2'60000%007!3'6 3020000%!3216653 270000%5'7'17 3060000%16301'32 2600000%367 3050000%01'13!31 251000

0%273!67 260000%70321561 2'60000%32623'7! 2710000%!130335 210000%66251!5 2'30000%2162632 26!000

0%00517 2500000%5'71'!7 2'0000%77220375 3000000%5'!!606 2'0000%!0105153 2760000%2'30''6 26'0000%2520603 2670000%21716'1' 26!0000%3!'76' 2730000%01'3350' 2510000%7'13!!15 3020000%7'!5'7'2 3020000%0210'2 2550000%375!062 3050000%07!1205 25!000

0%32!5065 2710000%1!!71551 25'0000%71515 3010000%100105 2560000%1!0116 3030000%!!!6'7!5 27'0000%2175!!'' 26!0000%32200'7 271000


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0%56'32!0! 270000%37'6'6 3050000%62362565 2'10000%511'1!! 230000%156765 2600000%516073' 2!000

0%132'17 250000%'32'!2 311000

0%'21!!''7 3100000%56!!'03! 270000%!!113!2! 27'0000%'7'53216 31!0000%0!33'07! 2520000%!2!!01 210000%21'6'7! 26!0000%1!131' 303000

0%7605537 3010000%3007!75' 26'0000%720'0323 2'70000%7165!!05 2'70000%1'!2765 2620000%767'!5 3070000%5'06136 20000%5'6156! 2'000

0%7266361 2'0000%602756 3070000%07'25 2550000%6'!55!!2 2'50000%011!2753 2500000%72001152 2'70000%0057571 3020000%1225!3! 250000%'5!'!!7 3130000%!350073 270000%7!5'3122 2''0000%5'7'7'6 20000%'11561 30000

0%6065707 2'00000%1!'7715 25'0000%367!3765 27!0000%2'27'115 26'0000%!'120311 220000%22'!67 2650000%12'55503 250000%'5!06351 312000


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0%201!702' 2630000%15707301 2600000%'2056106 3100000%17761512 2610000%71!1 2'70000%0307'273 252000

0%7365131 3010000%'53!!! 30'0000%522! 2!0000%713'3'7 3070000%603055 3070000%5!670375 260000%1'6'7723 2630000%2150!03' 26!0000%1002'70' 2560000%530!537 25000

0%557'15 260000%257!'772 2660000%7761'37' 3010000%56377'2 270000%675!11! 2'!000

0%33!!72 3050000%6!3570 2'20000%51250! 2!000

0%''0'1!2' 3150000%!336!506 270000%6731!''3 2'!000

0%!1632 2770000%5566!'6 260000%'77506 30'0000%'27!5!6' 3110000%6!277! 307000

0%'05333' 30'0000%'00!5'' 30'0000%617162 2'0000

0%'156736 3100000%02!32! 302000

0%77!06! 3010000%16!055 2600000%161033 2620000%2'677 26'0000%7772121 3010000%6!703263 2'20000%6103161 2'00000%723!' 307000


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0%567!'373 270000%11'50!07 2570000%371'1636 27!0000%35'0057' 2730000%007!7!05 2500000%0063777 250000

0%5377!667 250000%75205! 2''000

0%5130!06! 230000%2103316 26!0000%67!262 2'50000%566!!75' 270000%25!0361 2660000%015!357! 2510000%'0!7!23 300000%!10622 21000

0%1057712 2560000%212!173! 26!0000%562005'6 270000%5631323 270000%75733!!5 2''0000%5322!1 250000%!2521'2 270000%35123!73 2730000%277321 26000

0%200712!3 2630000%7115'01 2'60000%!'7267 220000%15667012 2600000%'!'5'77 3120000%'05!!52 30'000

0%2'5771 26'0000%066''6'! 25!0000%6!327''' 2'20000%573700' 270000%3761''!2 27!0000%3277551 275000

0%0037 2550000%6'6!16 2'5000

0%073!201 25!0000%516'!36! 2!0000%!73703 3060000%'7177'! 31!0000%67612'27 2'!0000%5!17502 25000


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0%116'311 2570000%!1327!5 2770000%713!'52! 2'70000%!7!6!2' 210000%100!!51 2560000%02!7753 251000

0%5377'77 250000%651206 2'50000%10362516 2560000%03!5652 2520000%275200!2 260000%'71113 31!000

0%57!31'! 270000%715!12' 2'70000%!!2222!7 27'0000%7262! 307000

0%63!'!25 2'10000%3112!651 2700000%60376'11 2'0000%30627!1 2750000%0'!01355 2560000%62373073 2'10000%000!!32 2500000%227!0!7 2650000%02'1!! 300000%7700!05 3000000%'!65161' 3120000%5''53752 2'0000%0!!'655 2530000%50510!3 20000%05'3!072 2530000%0!13'7' 2520000%157'1'7 2600000%6067112 3060000%'5106!' 3120000%700!5321 2'60000%5'05'1! 2000

0%!!1'20 27'0000%!'32755 220000%'!63157 31!0000%616653!1 2'00000%01'!23 2510000%7'00626! 3020000%!1!35621 2770000%20'''2 30!000


38/131

0%!'553253 220000%365' 27!0000%!!000125 27'0000%336!216! 2720000%!557256' 200000%!311!6 30000

0%127167!3 250000%!22'1211 2770000%!65'1! 200000%'63'361 3130000%527'7702 2!0000%063!!33' 25!0000%0!!5'6!7 2520000%6!63'36 2'20000%!277'66' 270000%550!033 26000

0%1!333325 25'0000%16673''5 2610000%00216'0 2500000%6720302 2'!0000%556027' 3060000%703'1136 2'60000%375'611 27!0000%317713' 30!0000%32'105! 271000

0%!37163 210000%'70602! 31!0000%510'256 23000

0%'!010!7! 3120000%70303171 2'60000%22'76!67 2650000%5355!6!' 250000%''2'0! 3150000%7103'57 2'60000%05076163 2530000%62!1732 2'1000

0%'27!7227 311000

0%51036' 3060000%767!215 3000000%'172!17 3100000%2!3!'562 2660000%6!!3521 2'20000%6'065602 2'50000%1'6651 30!000

0%265!23 267000


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0%1!!757! 3030000%73113075 2'0000%30202!55 26'0000%17!7'37! 2610000%0770'032 2550000%305!! 270000

0%'6!6522 3130000%'762!5 31!000

0%'1!72' 3150000%5653'1!7 270000%333617'6 2720000%31'7007 2750000%1717'!0 2610000%120!0' 2570000%262!!6 2670000%5!3715 25000

0%133072' 25'0000%2!23001 2650000%'7!236 3150000%352'!72 273000

0%627''21 2'10000%0672161 3030000%'2'1'33 3110000%5!66357 26000

0%2'5'!17 26'0000%0''6715 2560000%22661'7 260000%07717527 2550000%11!350'! 2570000%336165! 2720000%!075!0!3 2760000%'67!775 3130000%1256''1 250000%'!'!30! 3120000%1131555 2570000%60'0!3'6 2'00000%6667!' 2'5000

0%13!2065 3030000%372!356 2750000%00!57'' 2500000%3!'13053 2730000%7355502 2'0000%7132'06 3070000%113'313 2570000%2515'7! 267000


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0%5667'!5 270000%616'0565 2'00000%761'761 3070000%02367 300000%525'066! 2!0000%333'706 272000

0%671512! 2'!0000%6555!571 2'30000%33'71'72 2720000%7537'53 2''000

0%52!26757 2!0000%6!!73!7 3070000%57!001 3060000%1!00663 25'0000%!060261 2760000%7221676' 2'7000

0%'5'3165 3130000%650'5! 2'50000%!6560'5! 200000%566!316 3060000%157503 262000

0%'23'066 3100000%5122535 20000%6!33203 2'20000%'663132 30'0000%2263!553 26!0000%1'2716 262000

0%21505301 26!0000%!!107!3! 27'0000%37!12 2750000%327507 30!0000%5!3!032 20000%1'2312 263000

0%307352'3 2700000%'221025 300000%2766263 260000%07311!31 25!000

0%'!'05!5 3150000%60306 2'0000

0%3551513 2730000%6515!7 3070000%''23!56 3150000%2535!21 30!0000%53!75!37 250000%0267'!1 251000


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0%2361021 2650000%35716' 273000

0%11''3' 2570000%372532 3050000%0'!06!13 2560000%'676301 313000

0%2!21536 2650000%23!207!1 2650000%1665'633 2600000%5661!33 270000%61302! 2'00000%!53352 27'000

0%'57657! 3130000%703!!76 2'6000

0%1!!'6'53 25'0000%'22327'6 310000

0%0!'67!7 2530000%!0513 300000%0270535 2510000%'003517 30'0000%76'553 300000

0%0267137 2510000%''2'2! 315000

0%'20'' 3150000%331576!3 2710000%'0'21!75 3100000%03717'3 2520000%!7772166 210000%322!'31! 2710000%66510061 2'30000%156253!3 2600000%''7375 3150000%0772!3! 2550000%771533 3010000%'233'6! 3100000%777502 307000

0%56'13613 27000

0%1122'0!! 2570000%0551053 2530000%'1032307 3100000%1553 30!000

0%'11!577 300000%'07!725! 30'0000%6722!076 2'!0000%0661'32 25!000


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0%1'!!2!' 2630000%'30'13 3110000%7071'256 2'60000%31207506 2700000%2'723!2 26'0000%733!1 307000

0%'770216 31!0000%27536'16 260000%6333671 2'10000%'770''7! 31!0000%073037'' 25!0000%0707060! 25!0000%3!527 273000

0%1'!6656' 2620000%5125055' 230000%55!0065 26000

0%20017!2 2630000%50!123! 230000%1'62!2 262000

0%3!27217! 2720000%!27!675 270000%!70127! 210000%6212315 2'50000%!'3!775 220000%75'2733 3000000%1!662 2620000%2667!15' 2670000%5106321 20000%!'0'6'56 220000%217375 26!0000%1520207 260000

0%2036503 30!0000%7512'03 2''0000%7306'60 2'0000%51'73'2 2!0000%13'1506 25'000

0%6!!7'107 2'2000

0%2'15231 26'0000%!771207 210000%710222 2'6000

0%'1052153 3100000%525''75 3060000%5737163' 270000%!0012'!6 2760000%013!55 250000


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0%55'5'!07 260000%315627 2700000%7!6232 2''0000%'''!505 3150000%0'36570! 2560000%07!16'53 25!000

0%'6!1!20! 3130000%!0150531 2760000%15510!15 2600000%'7365! 31!000

0%!5311362 27'0000%''5!!7 315000

0%6675 2'!0000%26!303!3 2670000%5253!7' 3060000%16265 260000

0%0320031' 2520000%6''!1536 2'60000%0!'!0032 2530000%05517'6! 2530000%!167' 210000%21012 2630000%773273' 3010000%'16!''1 3100000%277322'7 260000%15!1227 260000

0%51!605! 230000%537212'3 250000%0535!67 2530000%2556557 260000%705117 3070000%23051 30!0000%65'1!716 2'30000%01'1'2 2550000%5703612 3060000%'772!77 31!0000%61'7713 2'0000

0%5263031 2!0000%636!'6 2'50000%03356'2 2520000%716152'6 2'70000%2'1!!7 26'000

0%!36!'536 270000%02251!! 302000

0%12103 257000


44/131

0%71!07 2'70000%1273161 250000%5112335 230000%036371 252000

0%5'02751' 20000%53'1211 25000

0%!17222 2770000%20'5!53 2630000%0!726'6' 2530000%6026!05 2'0000%1!1!705 25'0000%25''11 2670000%2'50736 26'0000%'6!!'5!3 3130000%17''6'!5 2610000%!757''!5 21000

0%366'7 3050000%!252 3050000%!2761' 300000%0!53''12 2520000%511722' 230000%06!!!! 2550000%66177002 2'30000%2'656125 26'0000%20!07012 2630000%'3255!36 3110000%10377' 2610000%50351232 230000%'!56'6!! 3120000%3251701' 2710000%701!'05! 2'60000%763177 300000

0%'6'016 3150000%66!'''16 2'30000%30031 2750000%3377 2750000%7032666 2'6000

0%03'!003 2520000%!701213! 210000%3!'3517 2730000%'2!'37 3110000%3!7007 272000

0%61'7' 3060000%71155'5 2'60000%133301 30!000


45/131

0%71711'1 2'70000%''!31 30'0000%503'25!6 230000%6!7122 2'5000

0%1!6'2' 25'0000%337273 30000

0%5!!7626 250000%31'0'' 2710000%030'077 3030000%76'6737 3000000%0160'53 2510000%76300566 3000000%013!0006 2500000%230032! 2650000%!73!1007 210000%60703207 2'0000

0%271'7! 260000%1707! 2620000%'2301!16 3100000%0'5030 2550000%3076'7 30!0000%2137'1 30!0000%20'356 2630000%20623''6 2630000%316'35 2700000%5!5'3131 260000%6703!51 2'!0000%3005'721 26'0000%0!563'!5 2530000%5'00610' 20000%6!1750'7 2'20000%6261721 2'1000

0%2!76!131 2660000%33556'6! 2720000%7!200276 2'0000%7'00721 3020000%!5''0'!5 20000

0%06022267 2530000%!11'0506 2770000%56'51''' 270000%6327'!! 2'1000

0%723!3557 2'70000%762056 301000

0%'7703 31!0000%'167'21 30000


46/131

0%7113!33! 2'60000%50072'3 230000%1'1!!!33 2620000%126'0!71 250000%!!527'6 27'0000%10' 30000

0%5063165 230000%663013 2'30000%7!77263 2''0000%755'057 2''0000%37!03'56 27!0000%2165122 26!0000%26156221 2670000%21772123 26!0000%'3227! 300000%30'0'3'7 270000

0%0'1'2'27 2560000%'7!00556 31!0000%2717601 260000%67055'2! 2'!0000%71'!!356 2'70000%!'!0721 220000%7'0132 302000

0%05721757 2530000%02057! 3020000%5576!71! 260000%3563371 3050000%75752176 2''0000%652'77 2'3000

0%7!70'6 3070000%!73!5! 210000%721602! 2'70000%7'006236 3020000%5132755 230000%0051'15! 2500000%3522'12 2730000%!''52'6 22000

0%'352!76 3110000%!031575 2760000%'6273263 3130000%1200'21' 2570000%621236 2'10000%16!332! 3030000%'5!5056! 3120000%'6'00'11 313000


47/131

0%2300!'5 2650000%3'77!1' 2760000%3!626!3 2720000%''7!7'7 315000

0%70352 2'60000%213157 30!000

0%'2075602 3100000%733!2!3 2'0000%5'7'55'5 2'0000%76513063 3000000%05150'7' 2530000%71'6036 2'70000%5!07'0! 250000%267526!6 2670000%10332653 2560000%'533!1 313000

0%!525315! 27'0000%3500575 2730000%76'7613 3000000%'1'16323 3100000%63526515 2'10000%7!'7'373 2''0000%15250372 2600000%3705732 27!0000%1'31213 2620000%71'6!26 2'70000%17230!! 2610000%530067 20000%22!!6765 26!0000%356'7' 3050000%03057076 2520000%3!725'!3 2720000%73076!2 2'0000%36'!55! 27!0000%22105!3 26!000

0%'620277' 3130000%5!'5307 26000

0%3''!5333 2760000%5765130 20000%03727756 2520000%60535036 2'0000%20207657 2630000%070212 25!000

0%1!0!65 25'0000%3612!3!5 273000


48/131

0%716113! 2'70000%31'!!12 2710000%1!''3!' 25'0000%!6'5!05! 200000%601357! 2'0000%'1!52' 310000

0%11735611 2570000%'5265236 3120000%13775 25'0000%0375710! 2520000%2631171 2670000%300'7626 26'0000%0!275 300000%2712255! 2670000%!6!75'55 200000%23!216 30!000

0%02!17!2 2510000%'!7725 3120000%360200!1 2730000%!5'505 3050000%!'157 220000%17010171 2610000%171567!1 2610000%1071166! 2570000%26102' 30!0000%62'306'1 2'10000%127'66'5 250000%35517701 2730000%0373207 2520000%73'37511 2'0000%!025!26' 2760000%62770771 2'10000%7725'!2 300000

0%!2'35101 270000%!56!51'5 200000%6151602 2'00000%32!!21 271000

0%132550!5 250000%'!2!07' 3120000%1'5270' 2620000%1!0!527 25'0000%20'1222! 2630000%7'5'2!5 3020000%'0165 30'0000%'7'2'023 31!000


49/131

0%6371123 2'20000%5'6'332 3060000%0136!26' 2500000%625'1662 2'10000%555!563 260000%60176305 2'000

0%73631!' 3010000%5!750! 26000

0%15027516 25'0000%7!526 302000

0%503321!6 230000%'177'22 3100000%727361' 2'0000%5217672 3060000%51!07!'2 230000%1502526 25'000

0%6356'3!! 2'10000%02!!06' 2510000%507!773 20000%2205067 26!0000%65!3'205 2'30000%5110057 3060000%021061! 2510000%575!73' 270000%3103321 2700000%2105 30000

0%5''6!'5 2'0000%027'!227 2510000%506!123 23000

0%37'131' 2750000%''06711 3150000%30!60!!' 2700000%515!0252 2!0000%766!002 3000000%72'71101 2'0000%00125067 2500000%21337502 26!000

0%617'725 2'00000%732!5 307000

0%1572712' 2600000%3263102' 2710000%1277763 250000%6033126 3060000%!113'76 2770000%05!7!22 253000


50/131

0%1'563'76 2620000%177!336' 2610000%0'3221' 2560000%17'0'51! 2610000%73!!331 3010000%6173!'5 306000

0%'!05!'13 3120000%3570505! 2730000%32!535'5 2710000%0065 300000%633'!066 2'10000%5312035 250000%'752!55 31!000

0%7056705 2'60000%567'001 270000%56602'! 27000

0%0665005 25!0000%3!6! 3050000%72672017 2'70000%!517!7 27'0000%!3600''1 270000%55176301 260000%25733272 2660000%'127!65 310000

0%!3167 220000%'027532 31!0000%35567'62 2730000%603122 2'!0000%!13'66! 3050000%713511! 2'70000%'0753 30'0000%116021! 2570000%'666262 3130000%65602073 2'30000%3'026!' 2750000%035637 2520000%7!3653 2''000

0%26!'6115 2670000%!!17722 210000%'6702 3130000%'66'2631 3130000%'77531 30'0000%1'!57!3' 2620000%2365!2' 2650000%36!!'!6 27!000


51/131

0%121'671 250000%5266265! 2!0000%6!627771 2'20000%6!551525 2'20000%3275!! 2750000%2527!22' 266000

0%60571'1 2'0000%'56775! 313000

0%601!07 2'0000%263''65 2670000%560!2'1 270000%7576'6 300000

0%3627725! 2730000%!023'737 2760000%5!!7273 250000%1'521!! 262000

0%0!13055 2520000%55'!223 260000%6276' 2'50000%!6'!5'5 210000%!77'002 220000%0657167 25!0000%!2'6752 270000%6015!722 2'0000%7'7''67 3020000%2030!!2 260000%3'20763 275000

0%5!5'0! 260000%!725!!' 210000%75''225 3000000%0'22'7!' 2560000%!!362'25 27'0000%'376553 3110000%13771!3 2620000%5106!761 230000%6110!6' 2'00000%''767!5 30'000

0%11'5611 2570000%63!51!17 2'10000%''77233 3150000%7766011 3010000%7'71173 3020000%1677233 2610000%71'3273 3070000%!170'!'2 277000


52/131

0%0173563 2550000%'''5007 315000

0%00105505 2500000%51517737 2!0000%'1770'51 3100000%!25''05! 27000

0%!'31503 220000%135221!! 250000%3!21!37 2720000%'61!7156 3130000%0076!12 2500000%!136!13 2770000%'!15057 3120000%703033 2'60000%3'03377 2760000%32!12' 271000

0%3!372''1 2720000%55!!7505 260000%''706 30'000

0%0!562!3 2530000%'2323'53 3100000%'21'366 300000%0127261 2510000%7!37!22 3070000%50353736 230000%37071625 27!0000%7!21177' 2'0000%6!7'!01 2'20000%23'65551 2650000%122507 2620000%5!3!0'36 250000%23661662 2650000%015573 3020000%76362012 3000000%61!7302 3060000%6!'5275 2'20000%7013!203 2'6000

0%26023!27 2670000%7075!' 307000

0%22!!16 26!0000%2'56!233 26'0000%00721 300000%6731' 3070000%'07303! 31!0000%'2072'7 310000


53/131

0%2!!'5!53 2660000%!'315!77 220000%1'5'00!! 2620000%!!635102 27'0000%2663073 30!0000%15253522 260000

0%22!7505 260000%6'762767 2'60000%''5!7'1 3150000%!'!7!6'5 220000%'7'767 30'0000%0676361 25!0000%!6!262!! 200000%63211!2 2'10000%2232!70' 26!0000%!6'3132 21000

0%'633'35 3130000%5'5!713 3060000%5611727' 270000%!0!13'36 2760000%306'27! 270000

0%63271'32 2'10000%7!76762' 2''0000%5317''! 25000

0%16!263 2600000%35'3667 2750000%7'3'!71' 3020000%''00777 3150000%75!00665 2''0000%3135!071 2700000%01130!7 2510000%31372'22 2700000%'725365 31!0000%23522' 300000%'0''3' 3100000%3057153 30!0000%''00312 315000

0%2031763 2630000%76!'!503 3000000%!537''' 27'0000%06!51'1' 25!0000%00'556 2500000%617'62 2'00000%'6203! 313000

0%'1!761'6 310000


54/131

0%7013!!71 2'60000%232023! 2650000%275003 26000

0%7!5'027 2''0000%0720737 2550000%1325!56' 25000

0%7003!202 2'60000%677736'' 2'!0000%503372 230000%1'!2373' 2620000%6'5'7276 2'50000%7!1!' 2''000

0%367'7!71 27!0000%!60670! 200000%6055525 2'0000%2'20531 26'000

0%1157!75 2570000%261'0 30!0000%30'0112! 2700000%23755 2650000%36'5'251 27!0000%1651' 2600000%700!026 2'60000%0'120063 2560000%72''!302 2'0000%72!!662 2'70000%0703 30000

0%7162!56 2'70000%106'!1' 2570000%726777 3020000%70506'!' 2'60000%0'51661 3030000%7!0'0! 2''0000%50676!!2 230000%02!0361! 2510000%03615626 2520000%7'7032' 30000

0%5177'17 2!0000%7370'63 2'0000%361'!06 2730000%115077 3030000%!72717 21000

0%7665625 3070000%'735211 31!0000%1!27222! 25'000


55/131

0%53'10'' 250000%1066651 2570000%!'776! 220000%'367206 3110000%'''2'3! 3150000%01!10157 250000

0%''06501' 3150000%71657 2'70000%'56630 3130000%65520137 2'30000%23'32706 2650000%3622'7 2750000%267!'732 2670000%11!2!73 257000

0%!5'267!5 200000%!!70671 305000

0%067'03 3030000%563!!5! 270000%15'057 2600000%0635'32! 25!0000%6703161 2'!0000%06217673 25!0000%3!32105 2720000%266131' 2670000%'73571 30'0000%5117!!53 230000%2030'3! 2630000%5026527 230000%01!5'053 2500000%237'2! 2650000%7735101 3070000%52!25163 2!0000%16'71'56 2610000%!0627'2 2760000%015!3536 2510000%'107706 3100000%2025'57 263000

0%'17!!33 3100000%00''0'32 2500000%'2306373 3100000%5!1153' 250000%501!!1 3060000%'70'!2 31!0000%03002!32 2510000%335265 272000


56/131

0%2617255 2670000%'2'1731' 3110000%62635''3 2'10000%31230'' 2750000%52'6370' 2!0000%!062!03! 276000

0%17521525 2610000%5!2225' 25000

0%761225 3010000%2'50!106 26'0000%7133365 2'70000%6631507 2'30000%'5'727! 3130000%07'370' 2550000%30!53 270000

0%1!25'!! 25'000

0%2'!3!216 26'0000%16656 3030000%60510'0 2'0000%''00!' 3150000%522'65! 2!0000%'2'0570! 3110000%!'2357 220000%2075'26 2630000%3166!1 30!000

0%666510! 2'!0000%60637!'6 2'00000%!3!2127! 270000%'6011662 3130000%10!1627' 2560000%100'617 2560000%7071135 2'60000%'716'222 31!0000%650601 2'3000

0%5337527 250000%35!323' 2730000%76''727 300000

0%2310305' 2650000%'2723636 3110000%531322!6 250000%5323661 25000

0%26213'!3 2670000%205001'3 2630000%57606116 20000%0'0!30 255000


57/131

0%130!!77 250000%3'2370' 2750000%!515073 27'0000%0277170 251000


58/131

x P(x) F(x) intervalos

150000 0%03!615! 0%03!615! 0 0%03!615!151000 0%03!615! 0%076'230 0%03!615! 0%076'230152000 0%03!615! 0%1153!62 0%076'230 0%1153!62153000 0%03!615! 0%153!615 0%1153!62 0%153!61515!000 0%03!615! 0%1'23076' 0%153!615 0%1'23076'

155000 0%03!615! 0%23076'23 0%1'23076' 0%23076'23156000 0%03!615! 0%26'23077 0%23076'23 0%26'23077157000 0%03!615! 0%3076'231 0%26'23077 0%3076'23115000 0%03!615! 0%3!61535 0%3076'231 0%3!6153515'000 0%03!615! 0%3!6153 0%3!61535 0%3!6153160000 0%03!615! 0%!23076'2 0%3!6153 0%!23076'2161000 0%03!615! 0%!6153!6 0%!23076'2 0%!6153!6162000 0%03!615! 0%5 0%!6153!6 0%5163000 0%03!615! 0%53!615! 0%5 0%53!615!16!000 0%03!615! 0%576'230 0%53!615! 0%576'230

165000 0%03!615! 0%6153!62 0%576'230 0%6153!62166000 0%03!615! 0%653!615 0%6153!62 0%653!615167000 0%03!615! 0%6'23076' 0%653!615 0%6'23076'16000 0%03!615! 0%73076'23 0%6'23076' 0%73076'2316'000 0%03!615! 0%76'23077 0%73076'23 0%76'23077170000 0%03!615! 0%076'231 0%76'23077 0%076'231171000 0%03!615! 0%!61535 0%076'231 0%!61535172000 0%03!615! 0%!6153 0%!61535 0%!6153173000 0%03!615! 0%'23076'2 0%!6153 0%'23076'217!000 0%03!615! 0%'6153!6 0%'23076'2 0%'6153!6175000 0%03!615! 1 0%'6153!6 1


59/131


60/131


61/131


62/131


63/131


64/131


65/131


66/131


67/131


68/131


69/131


70/131


71/131


72/131


73/131


74/131


75/131


76/131


77/131


78/131


79/131


80/131


81/131


82/131


83/131

.-4A 4-+ -+40%6500'0'' 166000 1623'' 75'50%3605621 15'000 162!7 7!6%3'75'0%'!3032! 17!0000%115!305 1530000%7073!0! 16000

0%02350'05 1500000%1660'0' 15!0000%7162''2 160000%730!2'02 160000%062!6277 1510000%35170521 15'0000%0'2!370' 152000

0%1616517 15!0000%21!073!3 1550000%!1!26'6 171000

0%!021!!6 1600000%6!7!2! 166000

0%1560 15!0000%275'7'!2 1570000%262513!6 1560000%76131533 16'0000%116'!616 1530000%6050272 1650000%!'55'1'2 1620000%!6013!31 1610000%15!2327! 15!0000%501030! 1650000%'2160073 1730000%760'65! 16'0000%0!7263' 1510000%36712571 15'0000%367'027 15'000

0%1036!6 1520000%673'3 167000

0%60!322' 1650000%22316'' 1550000%01375'66 1500000%'!53675 1750000%5'31'313 1650000%0335'03 1500000%132!5'' 1530000%6350732 1660000%6521!73 1660000%753762 1700000%252221 1560000%6!5700 167000

0%210'72 171000


84/131

0%7'15035 1700000%153500 15!0000%0''563 1710000%6237!272 166000

0%!7631! 1620000%21!5'351 155000

0%'!!155! 17!0000%25702!37 1560000%155166! 1710000%65033'31 1660000%'!'05031 17!0000%56!3673 16!0000%6!7'1507 1660000%653722 1670000%770!!702 1700000%11565505 153000

0%22!712!3 1550000%2!3'0!'2 1560000%3161'57! 150000%205323! 1550000%3!230626 150000%21132301 1550000%36!!7'01 15'0000%27'17!56 1570000%!156055 1600000%71312623 16000

0%6721152 1670000%52'50 1720000%!610!!2 1610000%053661'3 1510000%152!6 15!0000%2077'1'6 1550000%627'253! 1660000%516'73!! 163000

0%5'!'3! 1720000%3153' 172000

0%313!2'7 150000%23'307 156000

0%5255''' 1630000%!'576266 1620000%173372 15!0000%276'3253 1570000%3'0137 1600000%1352!2 1710000%7607651 16'0000%!!12125 1610000%0!7521 1520000%61273! 165000


85/131

0%27605322 1570000%00'!30!3 1500000%3002 150000%770336!' 170000

0%'132065 1730000%1350'1'6 153000

0%3'223056 1600000%6'210!! 1670000%13762323 1530000%35'702! 15'0000%26!2326! 1560000%'!6!117' 17!0000%!7!62!3 1620000%5'5355' 1650000%27510607 1570000%!627'5! 162000

0%73'77122 16'0000%5002!'5 1630000%10!5 1520000%''61'7 1750000%37765'1 1710000%'562756 17!0000%1212'7!7 1530000%665'13' 1670000%17!'637 15!0000%!''50366 1620000%3733!23 15'0000%0133!232 1500000%3!7!50! 15'0000%5!'2265 1720000%2!''5 1560000%162!15!7 15!0000%7!535'!! 16'0000%05!6325 151000

0%6'7! 1670000%!102'5 1600000%110'367! 1520000%70!307! 160000%3'50333 1600000%55'56107 16!0000%!0!157 1600000%!52!7!!3 1610000%3!'376' 15'0000%33721'7 150000%1057!2 1710000%32773!6 150000%'!'5372 17!0000%!0!77503 160000


86/131

0%267'7536 1560000%3165'25 1710000%1!12!7 1530000%113!!751 152000

0%''0!707 1750000%655'30'7 167000

0%0'0'2102 1520000%3676120! 15'0000%2506!53 1560000%1'736363 1550000%5!6!623 16!0000%311!1'3 150000%023266!3 150000

0%55'' 16!0000%6!'6360! 1660000%6127176 166000

0%'67!50'6 1750000%'2121 173000

0%2703'017 1570000%172'3! 15!000

0%7'!725 1720000%232'23' 1560000%7'26!617 1700000%262!165 1570000%0333721 1500000%'71367 1730000%7'52'6 1700000%7!71!51 16'0000%512'335 1630000%1537066 1710000%366'76 15'0000%6271'3 1660000%22715712 1550000%6300!2 1660000%1610!26 15!000

0%3!7!! 15'0000%'1'2662! 1730000%76131 1720000%00'2002 1500000%'5237'06 17!0000%3530555! 15'0000%6!17'122 1660000%3!1103!2 150000%130!'00 1530000%26!0107 1560000%67!33601 1670000%2665'72! 1560000%75!6121' 16'000


87/131

0%635'303 1660000%'117'2 1750000%5156!! 1630000%0!1!6!71 1510000%50563'!5 1630000%06!!'!! 151000

0%1'6!162 1550000%5362!653 1630000%62012252 1660000%03'67!!6 1510000%001013 1500000%!5150'7 1710000%7011'75 160000%627'7!5 1670000%!30335! 1610000%!7656275 162000

0%6!17335 1660000%72'11!2 172000

0%!121 1620000%5717713 16!0000%301270! 1710000%'006325 1730000%211'1'!3 1550000%15'5561! 15!0000%5277516 1630000%325!5'1 150000%!772'275 1620000%5607'007 16!000

0%6!10125 1660000%06513'65 1510000%62!66!' 1660000%'!51057 1750000%6757012 1670000%1733!' 15!0000%712213' 1720000%'!5!!' 1730000%57170! 165000

0%5!7!11 16!0000%'02132'3 1730000%''72'366 1750000%3107'30' 15000

0%5!'03 16!0000%6!531752 1660000%!067!707 1600000%22727'7 1550000%07!!'102 151000

0%3!!25 150000%3677!703 15'000


88/131

0%!151'3 1600000%1'123'2 15!0000%5!0!3376 16!0000%!01!7'66 1600000%511621 1630000%6751532! 167000

0%5272!5! 1630000%557'75 172000

0%7705556! 1700000%5563!216 16!0000%!7!7031 1620000%'306!'55 17!0000%12!62533 1530000%1766!372 15!0000%'5!'!33 1750000%5!7'53 172000

0%!3!11707 1610000%26!63313 1560000%'2'65606 17!0000%!32276 1710000%'03!7512 1730000%17'602! 1710000%3!76556 15'0000%'3!70765 17!000

0%673'3! 1670000%7''!'1 170000

0%622'16'2 1660000%10'5''3 15!0000%5632365 16!0000%6260636 1660000%12'50! 15!000

0%5'7033 1650000%5005351 1630000%33775167 150000%36230!!! 15'0000%7020563 160000%0!10265 1510000%2373263 1570000%!033'726 1600000%73515533 16'0000%'50'73' 17!0000%01237137 1500000%!'016'57 162000

0%3575!2 1600000%!012'32 1600000%3310'!32 15000

0%733111 16'0000%!7633775 162000


89/131

0%2066!23 1550000%57223!'' 16!0000%'253037 17!0000%!!170215 1610000%062!2'7 1510000%0!6771 151000

0%63!5'6 1720000%000116' 1700000%22!550! 1550000%76!1!! 1720000%011!716 1500000%0006!'06 1500000%7623275 16'000

0%7'566 1700000%520275'! 163000

0%301135 171000

0%36016'1 15'0000%156'!5! 15!0000%620363' 1660000%6'17! 1730000%12!2111 1530000%677521! 1670000%0103166' 1500000%3'17056 1600000%5712106! 16!0000%3!6!13!7 15'0000%1716121 15!0000%7521!! 16'000

0%!!630' 1610000%'023173 1730000%22110!5 1550000%2633! 1560000%2015'!0 1550000%6762261 1670000%51'25622 1630000%'60'537! 17!0000%56702!' 1720000%1!!21513 1530000%70!3! 160000%2333'063 156000

0%3!73666 15'0000%'161602 1730000%7'125172 1700000%007'16 1500000%2!7227'3 1560000%7562''07 16'0000%173!31' 15!0000%!2665252 161000


90/131

0%!17100!2 1600000%25!2!073 1560000%0127!7'3 1500000%235005! 1560000%5520212 16!0000%27'30!3 157000

0%776715'3 1700000%3'3126 1600000%11102!37 1520000%2!5!!!21 156000

0%1300673 1530000%05525 151000

0%32'637!3 150000%35116!12 15'0000%7'152 1700000%705'017 16000

0%!55!200' 1610000%'22055 1730000%05610166 1510000%572701'' 16!0000%03165!12 1500000%017!6'1 1500000%7637!51 16'0000%5!31626 16!0000%0116'23 1700000%2'6!637 1570000%5253!15 1630000%3!7!05' 15'0000%7!770!67 16'0000%2050326 1710000%'300!65 17!0000%02'1023! 1500000%!6!67!7! 1620000%32373 1710000%3102505 1710000%0503!021 1510000%570515 16!0000%!2!'573 1610000%1!0!5'5 1530000%2'276266 157000

0%11311 1710000%1'3'!0!! 1550000%155!!3'' 15!0000%'0''6' 1750000%203050! 1550000%7117003 160000%'502'5' 17!0000%2!0!55!' 156000


91/131

0%37625 1710000%7!627! 1720000%0700'607 1510000%2357161 1560000%3!!'17'' 150000%!!5713 161000

0%10!!!13 1520000%5!'!677 16!0000%1022501 1520000%'6!211! 1750000%260057 1560000%0520273! 1510000%!!3365' 1610000%'367'6 17!0000%0'5'0! 1710000%35376'1! 15'000

0%'227'77 1730000%57!3305 16!000

0%1770!3! 15!0000%!6!370 1720000%01'!'172 150000

0%52!005 1630000%722'5! 160000%!6!3105 1620000%!510527 162000

0%6525!6 1660000%'613!2 1730000%6'0!1533 1670000%37520531 15'0000%071'67 1520000%07!''50' 1510000%6'171!05 1670000%0!3322!6 1510000%33357''5 150000%5!'2220 16!0000%!!06'22 1610000%030'7' 1500000%75765677 16'0000%6!31'01! 1660000%157''3! 1710000%507515!6 1630000%7!!'1005 16'0000%'335072 17!0000%531310! 1630000%35'20735 15'0000%23722!66 1560000%176353 1720000%!36761 161000


92/131

0%5015!'33 1630000%60!65225 1650000%5!7!3'7 16!0000%20177' 157000

0%07'03!7 1520000%!706'623 162000

0%37703'1 1710000%!61'2 162000

0%7506152' 16'0000%65223163 1660000%7!22372 1720000%'56!717 17!0000%15022352 153000

0%'13276 1730000%!525'06 161000

0%57'366! 165000

0%'!'10035 17!0000%1672!7' 15!0000%6320''2 166000

0%'0571'6 1730000%70776601 160000%!20231' 1600000%'175!1'7 1730000%626'!7' 1660000%516707 1630000%'63'3551 1750000%5671503! 16!0000%'5!'5533 17!0000%'0356031 1730000%670233'3 1670000%'!1027! 17!0000%3'522' 1600000%'2'053 17!0000%7!3!30' 16'0000%7'60 1700000%03!17! 1700000%5372 1720000%22330'0' 1550000%57306166 16!000

0%1!'672 1530000%''3!!17' 175000

0%'076'62 1730000%'6!5676 1750000%57'15206 1650000%6166535' 1660000%57!10107 16!0000%6726257 1670000%37335563 15'000


93/131

0%75362322 16'0000%00'56535 1500000%'0553!'6 1730000%!721373 1620000%667!'76 1720000%2771'21' 157000

0%175''2!2 15!0000%175!32!7 15!0000%'1213'7' 1730000%33016001 15000

0%56330'! 16!0000%1272775 1530000%6'10556' 1670000%10'76'37 1520000%657235' 1670000%1621'66! 15!000

0%0270!75 1500000%'3566632 17!0000%'6757!' 1750000%5031!02! 1630000%27!0'6 171000

0%02363!' 1500000%!2601'' 1610000%'!675621 17!0000%03177''7 150000

0%175006 15!0000%721!077 172000

0%33235! 150000%251062! 1710000%377!'!7 15'0000%!7'03512 1620000%0'01!3'6 1520000%275166 1570000%720666 1730000%!5370'7 1620000%'2121!71 173000

0%2!'0502 1560000%23'2!7!6 1560000%15276 1530000%02036!' 1500000%2!131365 156000

0%150707 1530000%7202015' 160000%22'5'31 171000

0%57''5 1650000%063!523 1510000%60!!7'' 1720000%5235!! 163000


94/131

0%620''6 1660000%033652! 1520000%316260'2 150000%550'5653 16!0000%37260'0! 15'0000%061636' 170000

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0%3235'67 150000%!0'125' 1710000%061!5062 151000

0%0'1'0'36 1520000%05177355 1510000%552!365 16!0000%27!33!2! 1570000%7!6151' 1700000%2!31!11! 1560000%'1'6230 1730000%'51565 17!0000%6''2172 160000%''7'2661 1750000%713173 1720000%!20''1'' 1600000%3!0!7!'6 150000%5275502 1630000%35'330!' 15'0000%!010165 1600000%57'202' 1650000%!''7631 1720000%'!17613 1750000%!277677 1610000%25!70032 156000

0%631273 1660000%176051 171000

0%20!036 1570000%315277 15000

0%3'103! 1600000%50206367 1630000%'1655' 1730000%5!71!' 16!0000%273'353' 157000

0%27!333 1570000%!3103!6 161000


95/131

0%36!27335 15'0000%52276'5 1630000%300'76' 1570000%65'51'32 167000

0%335107 150000%'!06'7! 17!000

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0%21!5556 1550000%05!!!71 1510000%'101567 1730000%153255 15!0000%1770'10! 15!000

0%7'137621 1700000%032'6323 1500000%575''13 16!0000%1111!5!1 1520000%0!!51!2 1510000%32623!5 150000%2775213 1570000%!02!3!17 1600000%'32!30'5 17!0000%5226'67 1650000%6!005!57 1660000%70307''3 160000%507!'1' 1630000%0116652 1520000%21663'!2 1550000%!''60!6 1620000%!''7!13 1620000%5!73!5 16!0000%16531'' 15!0000%23126 1710000%5!02'5 16!0000%06'12!1' 1510000%71701! 160000%66!7'''! 1670000%0!77133 1510000%733'6263 16'0000%'75'5601 1750000%0505' 1710000%'52372' 1750000%60055136 1650000%61'67'!7 1660000%0'610'' 152000


96/131

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0%1!6''' 1530000%!3!110! 1710000%0'1153 152000

0%35!17526 15'0000%776370' 1700000%6623256 1670000%603''22 1670000%213730!! 1550000%!2223 1610000%'0'0105 1730000%'7'37636 1750000%77235577 1700000%100001 1710000%0062''72 1500000%2565665 1560000%!05!'67 1600000%!173116 1600000%062!5! 1510000%!1000135 1600000%0!56022 1510000%632016'7 1660000%21'75!11 1550000%02!'!''' 1500000%'662005 1750000%13225! 15!0000%0215652 1500000%53''1'1 16!0000%0030' 1700000%160625 15!0000%0'1!77! 1520000%06!2'2 1510000%10650!31 1520000%13!'2!' 1530000%5221'31! 1630000%'2067'27 173000


97/131

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0%11362'31 1520000%26702532 1560000%52'7'3!1 1630000%370!'2 15'0000%0502!1'3 1510000%6112317 1650000%65!'573 1670000%''22072! 1750000%107'!12 1520000%6'01711 1720000%72036 1700000%010702! 1500000%1670!'13 15!0000%226663'7 1550000%15160'1' 153000

0%1672!6 15!0000%153!527 1530000%70133 160000%56651''' 16!0000%50765151 1630000%20223265 1550000%57!'0'05 16!0000%6632227 1670000%'5171 1730000%3'!!106 1600000%1511307 15!0000%27705'6 1570000%37'3711 1710000%'3!55 17!000

0%3'''2 1600000%'!!20573 17!0000%2035357 155000


98/131

0%'1'613 1730000%76731! 16'000

0%7631!! 1700000%'362525 17!0000%33560!! 150000%3253!3 15000

0%''!6!133 1750000%6257122 1660000%'270173 17!000

0%2237277 1550000%!05'6667 1600000%306'12 15'0000%353!1!7 15'0000%0!563735 1510000%3133516 150000%11'656' 153000

0%56311'7 16!0000%1!!!0516 1530000%1'323723 1550000%6!23'151 166000

0%32'12' 150000%!3'03'2 1710000%67'''122 1670000%1'!'!'2 1550000%660!71!5 1670000%3215''02 150000%3110!272 150000%3760221 15'0000%'67!65!' 1750000%25612' 1710000%3!73052 15'0000%53'302! 16!0000%65!07!5 1670000%7271602 160000%3110227 1710000%22360! 1550000%3632361 15'0000%560'3172 16!0000%52660205 1630000%''67!!' 1750000%!536505 1610000%!5!22736 1610000%1620'!07 15!0000%63600!1 1670000%06007' 151000

0%'!60'25 17!0000%7015151 1720000%1!''7 15!000


99/131

0%'307306 1730000%20!05'2 1550000%37'7!! 1720000%303!'16' 157000

0%22220 1570000%'0501063 173000

0%11'36101 1530000%!!111762 1610000%!2!2566 1610000%'00!135 1730000%7772!732 1700000%7535'52 1720000%510526 1630000%6027537 1720000%170!727 15!0000%!73757 162000

0%'6'505 1750000%5366513 1630000%'7635 1750000%173'7'1 1710000%076!3!1' 1510000%!71'751! 1620000%37!05 1600000%26'21'6 1570000%26652'32 1560000%0'6!23 1710000%!000052 1600000%'''!157 1750000%7!53673! 16'0000%1!!6306 1530000%26317!' 1560000%!75061 1720000%0163''35 1500000%7666'555 16'0000%63206667 1660000%0'125151 1520000%05!!6253 151000

0%56'6 1730000%!7'56156 1620000%7!011 1700000%273!5! 1570000%'227'!7! 1730000%!2'235' 1710000%2530613 1560000%606'3772 165000

0%2627657 1560000%7'!13'35 1700000%507'7'!5 163000


100/131

0%1'757751 1550000%31312!53 150000%'3!3'373 17!000

0%573151 1650000%2130566! 1550000%2026073 155000

0%5731'17 16!0000%3260!0'3 150000%0'22'!! 1520000%6!''35'6 1660000%732171 1700000%3''6'6 1710000%'5'7153 17!0000%1!2775' 1530000%603731!7 1650000%'6050'72 17!000

0%25!6!2 1570000%7'62!727 1700000%2!5061 1560000%3535'!0 15'0000%5'5!161 1650000%''3331' 1750000%3!37055 150000%7726332 1720000%6207'37 1660000%'771770! 175000

0%''6732 1750000%7607572 1700000%!277222' 1610000%227307'! 1550000%'52'601 17!000

0%17733 15!0000%0!5'3037 1510000%25''!1'! 1560000%02'7673 1520000%0517!' 1510000%!16366' 1620000%605'551 1650000%2'5!21 1570000%72620'! 16000

0%15122 15!0000%!2255 1620000%35721511 15'0000%67'50' 1670000%2762! 1570000%0'2071 1520000%0!16000 1510000%200!!'63 155000


101/131

0%736'3 16'0000%'637'675 1750000%!'1673 1620000%'301036 17!0000%3065325 1570000%0'2!27' 152000

0%621!7!3' 1660000%6171'07! 1660000%6''65523 160000%'211232 1730000%0'63'715 1520000%027'5562 1500000%71333!'7 160000%''!61' 1750000%32356!53 15000

0%!'7270! 162000

0%25!26'5 1710000%6035105 1720000%57705016 1650000%23!115!5 1560000%53020751 1630000%'07!303 1730000%'303!532 17!0000%27131027 1570000%55637'2 16!0000%5610!!! 16!0000%!5'!13! 1710000%31!72!55 150000%1!0!!!7 1530000%03'7635 1510000%15'753' 15!0000%03''105 1510000%52'!5! 1650000%326! 1710000%51'5556! 1630000%76!51302 16'0000%6212617 1660000%70023 1720000%2315'!2 1570000%!6'5703 1620000%35167061 15'0000%6621262 1720000%7207667 160000%5'00176 165000

0%25!!!52 1560000%310!15 1710000%2'767175 1570000%06516366 151000


102/131

0%1''2!531 1550000%75166'7 16'0000%1!37'322 1530000%2!2027 1710000%607656'6 1650000%55632 165000

0%6!!!13!7 1660000%7717303! 170000

0%2276561 1550000%12526'2' 1530000%1772570! 15!000

0%'!1265 17!0000%565176'! 16!0000%7!166!63 16'0000%637503! 1660000%05271''6 151000

0%17050!03 15!0000%5331'!2 1630000%'6'15'5! 1750000%31'01005 150000%101'172 152000

0%1'''2 1710000%16077667 15!0000%01621 1500000%31207535 150000%!'276'2 1620000%'!213!21 17!0000%!2'371 1610000%3!150231 150000%!5032!7 1610000%'5'51'7 17!000

0%'100!62 1730000%6666!' 167000

0%32127! 15'0000%66!52! 1720000%765005! 16'0000%7720003! 1700000%36202'!3 15'0000%172500 15!0000%6!356!!6 1660000%0!6!6!72 1510000%22772!' 1550000%'00!3 1730000%'703313 1750000%073!'0'5 1510000%631205 1720000%3552263 1710000%!2!67!51 161000


103/131

0%6'3'3!56 160000%5575!!3 1720000%0265''2! 1500000%7!!!2'2 16'0000%65''76 1670000%0!!61'3 151000

0%20017'2 1550000%5625!23! 16!0000%50736' 1650000%711071! 170000

0%53'33! 16!0000%''!665!7 1750000%3055!2! 1570000%!1'12 1720000%10170535 1520000%3!'51556 15'000

0%''23'605 1750000%7!277!32 16'0000%750'72 16'0000%!6'2'32 1620000%22'51 1710000%50306217 1630000%70!751' 160000%1'2'!6 1710000%12'3!527 1530000%3116176 150000%55213''5 16!0000%56'32205 16!0000%752071 170000

0%5226735 1630000%!7'262' 1720000%65175531 1660000%037263'5 1500000%1'3'3216 1550000%3'2712 1710000%3771!50! 15'0000%73530!7 16'0000%!1!''707 1600000%2313772 1560000%!027067 1600000%3!!'2715 150000%'72!67 1750000%70!61'61 160000%07220'! 152000

0%'!57!1 17!0000%0'30!136 1520000%760!27!6 16'0000%2!7!623 156000


104/131

0%3361153 150000%05!172! 1510000%176'13! 15!000

0%2'5236' 1570000%626771 1660000%106723! 152000

0%'!3!121 1750000%0271110' 1500000%373'0 15'0000%6673306 1670000%7070521 1700000%2007103 1550000%'3'5163 17!0000%!13!11 1620000%6626'''7 1670000%17735 15!000

0%21513525 1550000%!60017 162000

0%737'3!0 16'0000%'32!6 17!000

0%0''6176 1520000%25!7!3' 1560000%!7!6711 1720000%22!'5' 155000

0%2!6!33 1560000%233223'' 1560000%227!!11 155000

0%75761! 16'0000%5767!'53 16!0000%5127552 1630000%'1326213 1730000%22'7!6' 155000

0%57631!5 16!0000%1112276! 1520000%5062051 1650000%2750'!! 1710000%5'62130' 1650000%137'6'' 15!0000%1!30!!3 1530000%20005303 1550000%!3617''2 1610000%763''1 16'000

0%302'627 1570000%32633'' 150000%3!123' 15'0000%!37'263 1610000%2212103 1710000%51!2'05' 163000


105/131

0%0'02023! 1520000%30!0''67 1570000%22526356 1550000%2'05'6' 1710000%3530'! 1710000%0016703 150000

0%35'3527 1600000%!7271'' 1620000%'21262'5 1730000%503323 1720000%666673 1670000%5052702 1630000%!311!72 1710000%76632'3 1720000%03'1655 1510000%365!0' 15'000

0%2!572'02 1560000%7660210' 16'0000%6''2!7! 1720000%0'771'! 1520000%27310!12 1570000%1571'13 15!0000%!''7232 1720000%5377!251 1630000%6602!53 167000

0%3!72122 15'0000%1172!'3 1530000%1373!507 1530000%!6610!3 1620000%622!57 1660000%25!3!73 1570000%!550556 1620000%!3!1173 171000

0%3'20' 1600000%'!!!253 17!0000%630!63' 1660000%66!'!77 1670000%5!03353! 16!0000%112'5!01 1520000%517535!! 1630000%0103363 1700000%2726732 1570000%65320516 1660000%77605372 1700000%270102 1570000%136103 1530000%62!3'!5 1660000%'36733' 173000


106/131

0%062216 1510000%202167 157000

0%!'50! 1620000%611502'3 1650000%'7157065 1750000%15315!66 153000

0%12633'53 1530000%616221!5 1660000%1'51230! 1550000%7!!1312 16'0000%005'3035 1500000%3!!55667 150000%51'7!026 1630000%325'7171 150000%!1' 1620000%6702!313 167000

0%125'36 1530000%2!26523 1560000%03373255 1500000%1'6'265 155000

0%!76!'1 1620000%63'20 167000

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0%6766!6! 1670000%0'32!71 152000

0%!7!5352 1620000%067!30 1510000%263556! 1560000%572635! 1720000%3!05235 150000%5501'7!6 16!000

0%115!'27 1530000%3271!7' 15000

0%70'063 160000%61203573 165000


107/131

0%525!113 1630000%2!206'1' 156000

0%'5'02 1730000%'63!5!'7 175000

0%5300!'6 1630000%'2012556 173000

0%1731!7!6 15!0000%'2'!0321 17!0000%1676375 15!0000%5535'3 16!0000%''13'3' 1750000%050!375 1510000%21367'' 171000

0%!7!2!0' 1620000%5126233 1650000%07'2!2!2 152000

0%'575''7! 17!0000%3!!135 15'0000%'!26!12 17!0000%12!7023 1530000%5155''72 163000

0%!2!2!!' 1610000%67100' 1670000%6!206!21 1660000%2253103 1550000%53765512 1630000%3233701 15'0000%5!'7017' 16!0000%032'727 1520000%6110'3 1660000%007663' 1500000%52!!60! 1630000%'3'01571 17!0000%5231306! 163000

0%3063'5 1570000%673'716 1670000%567021 1720000%'1!!625 1730000%3125'1 150000%5610'021 16!0000%2666172 1560000%10'!0105 1520000%151523' 1530000%62237 1660000%005!351! 1500000%'0!!71' 1750000%''6!'13 175000


108/131

.A . 1a 315000 250000 22!!!b 175000 150000 150'17

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precio a 17%00 rotaci9n a 1%5precio b A.-8 rotaci9n b 0%75

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1121rac&s 7'm2; rac&s 11%6

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109/131

costos


110/131

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A.-8 A.-8 A.-8 A.-8 ? !50,000%00 ? !50,000%00 ? !50,000%00

A.-8 A.-8 A.-8 A.-8?262,500%00 ?262,500%00 ?262,500%00 ?262,500%00

A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8

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111/131

? 1,7'!,653%00 ? 1,36,'0%00 ? 1,'!6,!01%00 ? 1,70,26%00A.-8 A.-8 A.-8 A.-8

? 5,!00,000%00 ? 5,!00,000%00 ? 5,!00,000%00 ? 5,!00,000%00A.-8 A.-8 A.-8 A.-8

?3,150,000%00 ?3,150,000%00 ?3,150,000%00 ?3,150,000%00A.-8 A.-8 A.-8 A.-8

A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8

? @ ? @ ? @ ? @A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8

A.-8 A.-8 A.-8 A.-8

?31,500,000 ?2,000,000 ?2!,500,000 ?21,000,000A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8

? 2,350,000%00 ? 2,350,001%00 ? 2,350,002%00 ? 2,350,003%00A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8

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112/131

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1162 113! 1172 1150

6 7 'A.-8 A.-8 A.-8 A.-8!623!05 !677312 !6! !36'76A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-825!650 2!10!5 2605515 23!6!0175071 1773373 1!!105 161!2

A.-8 A.-8 A.-8 A.-8 ? !50,000%00 ? !50,000%00 ? !50,000%00

A.-8 A.-8 A.-8 A.-8?262,500%00 ?262,500%00 ?262,500%00 ?262,500%00

A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8

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113/131

? 1,'3,507%00A.-8

? 5,!00,000%00A.-8

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? 2,350,00!%00A.-8A.-8

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114/131

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'2' ''5 5

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1100 11! 105! 1260 126!

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A.-8 A.-8 A.-8 A.-8 A.-8 ? !50,000%00 ? !50,000%00 ? !50,000%00

A.-8 A.-8 A.-8 A.-8 A.-8?262,500%00 ?262,500%00 ?262,500%00 ?262,500%00 ?262,500%00

A.-8 A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8 A.-8A.-8 A.-8 A.-8 A.-8 A.-8

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115/131


116/131

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A.-8 A.-8 A.-8 A.-8 A.-8 A.-8

A.-8 A.-8 A.-8 A.-8 A.-8 A.-8?262,500%00 ?262,500%00 ?262,500%00 ?262,500%00 ?262,500%00 ?262,500%00

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117/131


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Examen Final Por_jose Anaya

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