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66 \jclisttab\tx360\aspalpha\aspnum\faauto\ls1\adjustright\rin0\lin360\itap0\pararsid11756587 {\b0\insrsid11756587\charrsid9973847 Para el ejercicio 1.4 de la Gu\'eda de Trabajos Pr\'e1cticos se pide:}{\insrsid11756587\charrsid9973847
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67 \par {\listtext\pard\plain\s15 \b\lang2058\langfe3082\langnp2058\langfenp3082\insrsid11756587\charrsid9973847 \hich\af0\dbch\af0\loch\f0 a.\tab}}\pard \s15\qj \fi-360\li1080\ri0\widctlpar
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69 \insrsid11756587\charrsid9973847
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71 n de variables asociadas al enunciado y al sistema de inecuaciones dado.}{\insrsid11756587\charrsid9973847
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72 \par {\listtext\pard\plain\s15 \b\lang2058\langfe3082\langnp2058\langfenp3082\insrsid11756587\charrsid9973847 \hich\af0\dbch\af0\loch\f0 c.\tab}}{\b0\insrsid11756587\charrsid9973847 Resoluci\'f3n gr\'e1
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73 fica, indicando la o las soluciones que optimicen el funcional.}{\insrsid11756587\charrsid9973847
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74 \par {\listtext\pard\plain\s15 \b\lang2058\langfe3082\langnp2058\langfenp3082\insrsid11756587\charrsid9973847 \hich\af0\dbch\af0\loch\f0 d.\tab}}{\b0\insrsid11756587\charrsid9973847 Resoluci\'f3n por el
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75 Software L.I.N.D.O. adjuntando la salida de la corrida incluyendo el reporte correspondiente al An\'e1lisis de los Rangos de Sensibilidad.}{\insrsid11756587\charrsid9973847
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77 \insrsid11756587\charrsid9973847
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78 \par {\listtext\pard\plain\s15 \b\lang2058\langfe3082\langnp2058\langfenp3082\insrsid11756587\charrsid9973847 \hich\af0\dbch\af0\loch\f0 f.\tab}}{\b0\insrsid11756587\charrsid9973847 Informe narrativo-descriptivo de la soluci\'f3n \'f3ptima obtenida y Conclusi
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82 \par }{\lang2058\langfe1033\langnp2058\insrsid11756587\charrsid9973847
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83 \par }{\b\lang2058\langfe1033\langnp2058\insrsid11756587\charrsid9973847 1.a)}{\lang2058\langfe1033\langnp2058\insrsid11756587\charrsid9973847 }{\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847
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84 \par }\pard \ql \fi720\li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3034700 {\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 Una empresa que fabrica y vende 2 tipos de manteles, dispone semanalmente de ciertas
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85 cantidades de materia prima y de tiempo disponible para dicha fabricaci\'f3n, las cuales se deben repartir entre ambos productos.}{\lang2058\langfe1033\langnp2058\insrsid11756587\charrsid9973847
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86 \par }\pard \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847
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87 \par }\pard \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid15096995 {\b\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 1.b)
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88 \par {\listtext\pard\plain\s3 \f3\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard\plain \s3\ql \fi-360\li360\ri0\sb240\sa60\keepn\widctlpar
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89 \jclisttab\tx360\aspalpha\aspnum\faauto\ls2\outlinelevel2\adjustright\rin0\lin360\itap0\pararsid15096995 \b\f1\fs26\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\f0\fs24\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 Objetivo: }{
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90 \b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 Determinar las cantidades de manteles redondos y rectangulares a fabricar }{\b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 e}{
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91 \b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 n una semana para maximizar la ganancia.}{\b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847
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92 \par {\listtext\pard\plain\s3 \f3\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \s3\ql \fi-360\li360\ri0\sb240\sa60\keepn\widctlpar
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93 \jclisttab\tx360\aspalpha\aspnum\faauto\ls2\outlinelevel2\adjustright\rin0\lin360\itap0\pararsid9786842 {\f0\fs24\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 Hip\'f3tesis:}{
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94 \f0\fs24\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847
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95 \par {\listtext\pard\plain\s3 \f2\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}}\pard \s3\ql \fi-357\li1434\ri0\sb100\sa100\sbauto1\saauto1\keepn\widctlpar
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96 \jclisttab\tx1440\aspalpha\aspnum\faauto\ls2\ilvl1\outlinelevel2\adjustright\rin0\lin1434\itap0\pararsid3034700 {\b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847 H1) Las disponibilidades semanales de }{
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97 \b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 tela, esquineros y horas de corte y costura son m\'e1ximas: no puedo usar m\'e1s de lo que se informa.}{\b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847
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99 \par {\listtext\pard\plain\s3 \f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}}{\b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 H2) No hay inflaci\'f3n (\'f3
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100 si la hay, no afecta al margen de ganancia)
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101 \par {\listtext\pard\plain\f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}}\pard\plain \ql \fi-357\li1434\ri0\widctlpar
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102 \jclisttab\tx1440\aspalpha\aspnum\faauto\ls2\ilvl1\adjustright\rin0\lin1434\itap0\pararsid3034700 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 H3) No hay stock inicial.
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103 \par {\listtext\pard\plain\f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}H4) Todo lo que se fabrica, se vende (no hay stock final).
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104 \par {\listtext\pard\plain\f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}H5) Se puede utilizar toda la materia prima disponible.
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105 \par {\listtext\pard\plain\f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}H6) La tela usada no presenta fallas \'f3 defectos.
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106 \par {\listtext\pard\plain\f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}H7) En el proceso de fabricaci\'f3n no hay desperdicios de tela ni de esquineros.
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107 \par {\listtext\pard\plain\f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}H8) El tiempo de colocaci\'f3n de esquineros est\'e1 contemplado en los tiempos de corte y costura informados (o bien es despreciable).
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109 \par {\listtext\pard\plain\f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}H9) Los manteles redondos no usan esquineros.
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110 \par {\listtext\pard\plain\f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}H10) La tela disponible sirve para ambos tipos de manteles.
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111 \par {\listtext\pard\plain\f2\lang2058\langfe1033\langnp2058\insrsid9786842\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}H11) Todos los manteles rectangulares llevan exactamente 4 esquineros.
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112 \par }\pard \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid15096995 {\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847
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113 \par {\listtext\pard\plain\s3 \f3\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard\plain \s3\ql \fi-360\li360\ri0\sb240\sa60\keepn\widctlpar
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114 \jclisttab\tx360\aspalpha\aspnum\faauto\ls2\outlinelevel2\adjustright\rin0\lin360\itap0\pararsid3034700 \b\f1\fs26\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\f0\fs24\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 Definici\'f3n de v
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115 ariables:}{\f0\fs24\lang2058\langfe1033\langnp2058\insrsid15096995\charrsid9973847
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116 \par {\listtext\pard\plain\s3 \f2\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}}\pard \s3\ql \fi-360\li1440\ri0\sb240\sa60\keepn\widctlpar
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117 \jclisttab\tx1440\aspalpha\aspnum\faauto\ls2\ilvl1\outlinelevel2\adjustright\rin0\lin1440\itap0\pararsid3034700 {\f0\fs24\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 MRED: }{
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118 \b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 Cantidad de unidades de manteles redondos a fabricar en una semana. [unidades/semana]}{\f0\fs24\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847
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119 \par {\listtext\pard\plain\s3 \f2\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 \hich\af2\dbch\af0\loch\f2 o\tab}MREC: }{\b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 Cantidad de unidades de manteles rectangular
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120 es a fabricar en una semana. [unidades/semana]}{\b0\f0\fs24\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847
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121 \par {\listtext\pard\plain\s3 \f3\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \s3\ql \fi-360\li360\ri0\sb240\sa60\keepn\widctlpar
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122 \jclisttab\tx360\aspalpha\aspnum\faauto\ls2\outlinelevel2\adjustright\rin0\lin360\itap0\pararsid3034700 {\f0\fs24\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 Funcional:
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123 \par }\pard\plain \ql \li360\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin360\itap0\pararsid9973847 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\b\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 MAX Z}{
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124 \lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 [$/semana] = }{\b\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 8}{\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 [$/unidad] . }{
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125 \b\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 MRED}{\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 [unidad/semana] + }{\lang2058\langfe1033\langnp2058\insrsid9973847
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126 \par }\pard \ql \li2520\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin2520\itap0\pararsid1905637 {\b\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 10}{\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 [$/unidad] . }{
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127 \b\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 MREC}{\lang2058\langfe1033\langnp2058\insrsid3034700\charrsid9973847 [unidad/semana]}{\lang2058\langfe1033\langnp2058\insrsid9973847
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128 \par }\pard \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1905637 {\lang2058\langfe1033\langnp2058\insrsid1905637
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129 \par {\listtext\pard\plain\s3 \f3\lang2058\langfe1033\langnp2058\insrsid1905637 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard\plain \s3\ql \fi-360\li360\ri0\sb240\sa60\keepn\widctlpar
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130 \jclisttab\tx360\aspalpha\aspnum\faauto\ls2\outlinelevel2\adjustright\rin0\lin360\itap0\pararsid1905637 \b\f1\fs26\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\f0\fs24\lang2058\langfe1033\langnp2058\insrsid1905637 Sistema de Inecuaciones}{
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131 \f0\fs24\lang2058\langfe1033\langnp2058\insrsid1905637\charrsid9973847 :}{\f0\fs24\lang2058\langfe1033\langnp2058\insrsid1905637
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132 \par }\pard\plain \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1905637 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\lang2058\langfe1033\langnp2058\insrsid1905637\charrsid1905637
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133 \par Disponibilidad de materia prima (metros cuadrados de tela y cantidad de esquineros)}{\lang2058\langfe1033\langnp2058\insrsid15086535 :}{\lang2058\langfe1033\langnp2058\insrsid1905637
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134 \par }{\lang2058\langfe1033\langnp2058\insrsid15086535\charrsid1905637
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135 \par }{\b\lang2058\langfe1033\langnp2058\insrsid1905637\charrsid15086535 R_TELA)}{\lang2058\langfe1033\langnp2058\insrsid1905637\charrsid1905637 2 MRED + 3 MREC <= 600
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136 \par }{\b\lang2058\langfe1033\langnp2058\insrsid1905637\charrsid15086535 R_ESQ)}{\lang2058\langfe1033\langnp2058\insrsid1905637\charrsid1905637 }{\lang2058\langfe1033\langnp2058\insrsid12325669 }{
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137 \lang2058\langfe1033\langnp2058\insrsid1905637\charrsid1905637 4 MREC <= 600
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139 \par Disponibilidad de horas de producci\'f3n}{\lang2058\langfe1033\langnp2058\insrsid15086535 :}{\lang2058\langfe1033\langnp2058\insrsid1905637
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140 \par }{\lang2058\langfe1033\langnp2058\insrsid15086535\charrsid1905637
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141 \par }{\b\lang2058\langfe1033\langnp2058\insrsid1905637\charrsid15086535 R_HS)}{\lang2058\langfe1033\langnp2058\insrsid1905637\charrsid1905637 2 MRED + 1 MREC <= 500}{\lang2058\langfe1033\langnp2058\insrsid1905637\charrsid1905637
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142 \par }{\insrsid1905637
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143 \par }{\insrsid10704306
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144 \par }{\b\insrsid6181511\charrsid6181511 1.c)}{\insrsid6181511 }{\b\insrsid6181511\charrsid10704306 Resoluci\'f3n Gr\'e1fica}{\insrsid12325669
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145 \par }{\insrsid6181511
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146 \par }{\lang1034\langfe1033\langnp1034\insrsid10704306\charrsid10704306 Los v\'e9rtices que dan las soluciones posibles son:
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147 \par }{\insrsid10704306\charrsid5383605 V1 = ( 0 ; 150 )}{\insrsid5383605\charrsid5383605 \tab --> Z = 1500}{\insrsid10704306\charrsid5383605
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148 \par }{\lang1034\langfe1033\langnp1034\insrsid10704306\charrsid5383605 V2 = ( }{\lang1034\langfe1033\langnp1034\insrsid5383605\charrsid5383605 75; 150}{\lang1034\langfe1033\langnp1034\insrsid10704306\charrsid5383605 )}{
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149 \lang1034\langfe1033\langnp1034\insrsid5383605\charrsid5383605 \tab --> Z = 2100}{\lang1034\langfe1033\langnp1034\insrsid10704306\charrsid5383605
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150 \par }{\lang1034\langfe1033\langnp1034\insrsid5383605\charrsid5383605 V3 = ( 225 ; 50 )\tab }{\lang1034\langfe1033\langnp1034\insrsid5383605 --> }{\b\lang1034\langfe1033\langnp1034\insrsid5383605\charrsid5383605 Z = 2300}{
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151 \lang1034\langfe1033\langnp1034\insrsid5383605 --> V3 da la soluci\'f3n }{\b\lang1034\langfe1033\langnp1034\insrsid5383605 \'f3ptima}{\lang1034\langfe1033\langnp1034\insrsid5383605 .}{\lang1034\langfe1033\langnp1034\insrsid5383605\charrsid5383605
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152 \par }{\insrsid5383605\charrsid5383605 V4 = ( 250 ; 0 )}{\insrsid5383605 \tab }{\lang1034\langfe1033\langnp1034\insrsid5383605 --> Z = 2000}{\insrsid5383605\charrsid5383605
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153 \par }{\insrsid10704306
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154 \par }{\insrsid5383605
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170 \par }{\insrsid5383605\charrsid5383605
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171 \par }{\b\insrsid6181511\charrsid6181511 1.d)}{\insrsid6181511 }{\b\insrsid6181511\charrsid10704306 Salida de LINDO:}{\insrsid6181511
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173 \par }\pard \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid6181511 {\f2\fs20\insrsid6181511\charrsid6181511 LP OPTIMUM FOUND AT STEP 2
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175 \par OBJECTIVE FUNCTION VALUE
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179 \par VARIABLE VALUE REDUCED COST
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180 \par MRED 225.000000 0.000000
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181 \par MREC 50.000000 0.000000
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184 \par ROW SLACK OR SURPLUS DUAL PRICES
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185 \par }{\f2\fs20\lang1034\langfe1033\langnp1034\insrsid6181511\charrsid6181511 R_TELA) 0.000000 3.000000
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186 \par R_ESQ) 400.000000 0.000000
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187 \par R_HS) 0.000000 1.000000
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189 \par }{\f2\fs20\insrsid6181511\charrsid6181511 NO. ITERATIONS= 2
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192 \par RANGES IN WHICH THE BASIS IS UNCHANGED:
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194 \par OBJ COEFFICIENT RANGES
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195 \par VARIABLE CURRENT ALLOWABLE ALLOWABLE
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196 \par COEF INCREASE DECREASE
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197 \par MRED 8.000000 12.000000 1.333333
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198 \par MREC 10.000000 2.000000 6.000000
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200 \par RIGHTHAND SIDE RANGES
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201 \par ROW CURRENT ALLOWABLE ALLOWABLE
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202 \par RHS INCREASE DECREASE
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203 \par R_TELA 600.000000 200.000000 100.000000
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204 \par R_ESQ 600.000000 INFINITY 400.000000
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205 \par R_HS 500.000000 100.000000 200.000000}{\f2\fs20\insrsid6181511
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206 \par }{\f2\fs20\insrsid10704306
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208 \par }{\b\insrsid10704306 1.f) Informe narrativo-descriptivo
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209 \par }{\insrsid10704306 \tab }{\lang1034\langfe1033\langnp1034\insrsid5383605\charrsid5383605 La soluci\'f3n \'f3ptima obtenida nos indica que debemos fabricar}{\lang1034\langfe1033\langnp1034\insrsid5383605 y }{
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210 \lang1034\langfe1033\langnp1034\insrsid5383605\charrsid5383605 vender }{\lang1034\langfe1033\langnp1034\insrsid5383605 225 unidades de manteles redondos y 50 unidades de manteles rectangulares, para as\'ed poder obtener una ganancia de 2300$ en la semana.
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211 }{\lang1034\langfe1033\langnp1034\insrsid10704306
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212 \par }{\lang1034\langfe1033\langnp1034\insrsid5383605 \tab El resultado de la corrida por LINDO tambi\'e9n nos informa que el modelo us\'f3 toda la tela y tambi\'e9n todas las horas disponibles para la fabricaci\'f3n de los manteles (fueron recursos limitantes
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213 ), mientras que nos sobraron 400 esquineros, lo que indica que la cantidad de los mismos no nos limit\'f3 en la producci\'f3n.
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215 \par }{\lang1034\langfe1033\langnp1034\insrsid14224027 \tab Si bien el precio por unidad de los manteles rectagulares (10$) es mayor al precio de los redondos (8$), el modelo nos indica que debemos fabricar m\'e1s manteles redondos que rectangulares.
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216 \par }{\lang1034\langfe1033\langnp1034\insrsid5383605 \tab Podemos justificar }{\lang1034\langfe1033\langnp1034\insrsid14224027 \'e9sta}{\lang1034\langfe1033\langnp1034\insrsid5383605 decisi\'f3n del modelo }{\lang1034\langfe1033\langnp1034\insrsid14224027
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217 observando que en la restricci\'f3n de la tela (R_TELA) los manteles rectangulares consumen mayor tela que los redondos (y ambos se fabrican a partir de la misma disponibilidad de tela), y que adem\'e1
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218 s la disponibilidad de esquineros no nos permite fabricar m\'e1s de 150 manteles rectangulares.}{\lang1034\langfe1033\langnp1034\insrsid5383605\charrsid5383605
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projects / z.facultad / 71.14 / practicos.git / blob