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0 1 -7/8 0|81939/8]\n", "[ x4| 3/4 5/8 1/4 1 0 1/8 0|16867/8]\n", "[ s3| 1/2 1/4 1/2 0 0 -3/4 1|16063/4]\n", "[-------+-------------------------------------------------------+-------]\n", "[ Z| 250 350 400 0 0 -250 0|4216750]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "cambio( 3 , 3 )\n" ] }, { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrr|r}\n", "{Basic} & {x}_{1} & {x}_{2} & {x}_{3} & {x}_{4} & {\\color{green}{s}}_{1} & {\\color{green}{s}}_{2} & {\\color{green}{s}}_{3} & {b} \\\\\n", "\\hline\n", " {\\color{green}{s}}_{1} & \\frac{3}{2} & 1 & 0 & 0 & 1 & 1 & -\\frac{5}{2} & 203 \\\\\n", "{x}_{4} & \\frac{1}{2} & \\frac{1}{2} & 0 & 1 & 0 & \\frac{1}{2} & -\\frac{1}{2} & \\frac{201}{2} \\\\\n", "{x}_{3} & 1 & \\frac{1}{2} & 1 & 0 & 0 & -\\frac{3}{2} & 2 & \\frac{16063}{2} \\\\\n", "\\hline\n", " {Z_{ind}} & -150 & 150 & 0 & 0 & 0 & 350 & -800 & 7429350\n", 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"[ Z| -150 150 0 0 0 350 -800|7429350]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "cambio( 2 , 6 )\n" ] }, { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrr|r}\n", "{Basic} & {x}_{1} & {x}_{2} & {x}_{3} & {x}_{4} & {\\color{green}{s}}_{1} & {\\color{green}{s}}_{2} & {\\color{green}{s}}_{3} & {b} \\\\\n", "\\hline\n", " {\\color{green}{s}}_{1} & \\frac{1}{2} & 0 & 0 & -2 & 1 & 0 & -\\frac{3}{2} & 2 \\\\\n", "{\\color{green}{s}}_{2} & 1 & 1 & 0 & 2 & 0 & 1 & -1 & 201 \\\\\n", "{x}_{3} & \\frac{5}{2} & 2 & 1 & 3 & 0 & 0 & \\frac{1}{2} & 8333 \\\\\n", "\\hline\n", " {Z_{ind}} & -500 & -200 & 0 & -700 & 0 & 0 & -450 & 7499700\n", "\\end{array}\\right)$ " ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrr|r}\n", "{Basic} & {x}_{1} & {x}_{2} & {x}_{3} & {x}_{4} & {\\color{green}{s}}_{1} & {\\color{green}{s}}_{2} & {\\color{green}{s}}_{3} & {b} \\\\\n", "\\hline\n", " {\\color{green}{s}}_{1} & \\frac{1}{2} & 0 & 0 & -2 & 1 & 0 & -\\frac{3}{2} & 2 \\\\\n", "{\\color{green}{s}}_{2} & 1 & 1 & 0 & 2 & 0 & 1 & -1 & 201 \\\\\n", "{x}_{3} & \\frac{5}{2} & 2 & 1 & 3 & 0 & 0 & \\frac{1}{2} & 8333 \\\\\n", "\\hline\n", " {Z_{ind}} & -500 & -200 & 0 & -700 & 0 & 0 & -450 & 7499700\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ B| x1 x2 x3 x4 s1 s2 s3| rhs]\n", "[-------+-------------------------------------------------------+-------]\n", "[ s1| 1/2 0 0 -2 1 0 -3/2| 2]\n", "[ s2| 1 1 0 2 0 1 -1| 201]\n", "[ x3| 5/2 2 1 3 0 0 1/2| 8333]\n", "[-------+-------------------------------------------------------+-------]\n", "[ Z| -500 -200 0 -700 0 0 -450|7499700]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "El problema es óptimo\n" ] } ], "source": [ "tipo='max' # max o min\n", "\n", "n=4 # número de variables x's\n", "m=3 # número de restricciones (distintas de las de signo)\n", "\n", "c=matrix(QQ,1,n,[1750,1600,900,2000] ) # vector de costos\n", "\n", "A=matrix(QQ,m,n,[ # coeficientes de las variables x's\n", "[8,6,3,7],\n", "[6,5,2,8],\n", "[5,4,2,6]\n", "])\n", "\n", "b=matrix(QQ,m,1,[25001,16867,16666]) # vector de la derecha\n", "\n", "\n", "######################################################\n", "############### VARIABLES DE HOLGURA ################\n", "\n", "\n", "h=matrix(ZZ,1,m,[1,1,1]) # variables de holgura: \n", " # Pon 1 si va sumando, \n", " # -1 si va restando y \n", " # 0 si no hay variable de holgura.\n", "\n", "\n", "\n", "\n", "####################################################################\n", "############ HASTA AQUÍ LOS DATOS ################################\n", "####################################################################\n", "\n", "load('https://sage.unex.es/501708/simplex2023Auto.sage')\n", "#load('https://sage.unex.es/501708/simplex2023AutoREVISED.sage')\n", 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