benjujo / opti_t2

Tarea 2 de opti

Tarea 2 -- IN3701

Para ejecutar esta parte de la tarea es necesario tener sagemath instalado. Para correr basta con escribir en la consola

sage p2.sage

De igual forma, esto no es necesario, ya que se adjunta abajo los sistemas de ecuaciones para cada una de las soluciones báscias factibles en conjunto con los rayos.

Vector (1,1)

SBF: [[x1 == -2, x2 == 3]] con [[y1 == 1, y2 == 0]]
[l == -1/3*t + 1/3, 0 < d, d < 1, 0 < t, t < 1, d*t + 2*t - 1 == 0]

SBF: [[x1 == -2, x2 == 3]] con [[y1 == 2, y2 == 0]]
[l == -1/3*t + 1/3, 0 < d, d < 1, 0 < t, t < 1, d*t + 7/3*t - 1/3 == 0]

SBF: [[x1 == 1, x2 == 0]] con [[y1 == -2, y2 == 3]]
[l == 1/3*t + 2/3, 0 < d, d < 1, 0 < t, t < 1, d*t + 2*t - 1 == 0]

SBF: [[x1 == 1, x2 == 0]] con [[y1 == 2, y2 == 0]]
[t == 1, 0 < d, d < 1, 0 < l, l < 1, d - l + 2 == 0]

SBF: [[x1 == 1, x2 == 0]] con [[y1 == -1, y2 == 7]]
[l == 1/7*t + 6/7, 0 < d, d < 1, 0 < t, t < 1, d*t + 9/7*t - 2/7 == 0]

SBF: [[x1 == 2, x2 == 0]] con [[y1 == -2, y2 == 3]]
[l == 1/3*t + 2/3, 0 < d, d < 1, 0 < t, t < 1, d*t + 7/3*t - 1/3 == 0]

SBF: [[x1 == 2, x2 == 0]] con [[y1 == 1, y2 == 0]]
[t == 1, 0 < d, d < 1, 0 < l, l < 1, d + l + 1 == 0]

SBF: [[x1 == 2, x2 == 0]] con [[y1 == 2, y2 == 0]]
[t == 1, 0 < d, d < 1, 0 < l, l < 1, d + 2 == 0]

SBF: [[x1 == 2, x2 == 0]] con [[y1 == -1, y2 == 7]]
[l == 1/7*t + 6/7, 0 < d, d < 1, 0 < t, t < 1, d*t + 10/7*t + 4/7 == 0]

SBF: [[x1 == -1, x2 == 7]] con [[y1 == 1, y2 == 0]]
[l == -1/7*t + 1/7, 0 < d, d < 1, 0 < t, t < 1, d*t + 9/7*t - 2/7 == 0]

SBF: [[x1 == -1, x2 == 7]] con [[y1 == 2, y2 == 0]]
[l == -1/7*t + 1/7, 0 < d, d < 1, 0 < t, t < 1, d*t + 10/7*t + 4/7 == 0]

Vector (3,2)

SBF: [[x1 == -2, x2 == 3]] con [[y1 == 1, y2 == 0]]
[l == -1/3*t + 2/3, 0 < d, d < 1, 0 < t, t < 2, d*t + 2*t - 4 == 0]

SBF: [[x1 == -2, x2 == 3]] con [[y1 == 2, y2 == 0]]
[l == -1/3*t + 2/3, 0 < d, d < 1, 0 < t, t < 2, d*t + 7/3*t - 11/3 == 0]

SBF: [[x1 == 1, x2 == 0]] con [[y1 == -2, y2 == 3]]
[l == 1/3*t + 1/3, 0 < d, d < 1, 0 < t, t < 2, d*t + 2*t - 4 == 0]

SBF: [[x1 == 1, x2 == 0]] con [[y1 == 1, y2 == 0]]
[t == 2, 0 < d, d < 1, 0 < l, l < 1, 2*d == 0]

SBF: [[x1 == 1, x2 == 0]] con [[y1 == 2, y2 == 0]]
[t == 2, 0 < d, d < 1, 0 < l, l < 1, 2*d - l + 1 == 0]

SBF: [[x1 == 1, x2 == 0]] con [[y1 == -1, y2 == 7]]
[l == 1/7*t + 5/7, 0 < d, d < 1, 0 < t, t < 2, d*t + 9/7*t - 18/7 == 0]

SBF: [[x1 == 2, x2 == 0]] con [[y1 == -2, y2 == 3]]
[l == 1/3*t + 1/3, 0 < d, d < 1, 0 < t, t < 2, d*t + 7/3*t - 11/3 == 0]

SBF: [[x1 == 2, x2 == 0]] con [[y1 == 1, y2 == 0]]
[t == 2, 0 < d, d < 1, 0 < l, l < 1, 2*d + l == 0]

SBF: [[x1 == 2, x2 == 0]] con [[y1 == 2, y2 == 0]]
[t == 2, 0 < d, d < 1, 0 < l, l < 1, 2*d + 1 == 0]

SBF: [[x1 == 2, x2 == 0]] con [[y1 == -1, y2 == 7]]
[l == 1/7*t + 5/7, 0 < d, d < 1, 0 < t, t < 2, d*t + 10/7*t - 13/7 == 0]

SBF: [[x1 == -1, x2 == 7]] con [[y1 == 1, y2 == 0]]
[l == -1/7*t + 2/7, 0 < d, d < 1, 0 < t, t < 2, d*t + 9/7*t - 18/7 == 0]

SBF: [[x1 == -1, x2 == 7]] con [[y1 == 2, y2 == 0]]
[l == -1/7*t + 2/7, 0 < d, d < 1, 0 < t, t < 2, d*t + 10/7*t - 13/7 == 0]