Сборник задач по методам принятия управленческих решений

1.14 L(X) = 11Х| - b x j +4^3 + \2x^ > min, 9JC, -8x2 -7д:з + X4 -ISxj -2x^ >15, 8x, - 6X2 -12^3 - 8X4 + 7X5 - 5xg = 8, < lOx, -4x2 +5X3 - 15X4 - 1 Ixg = 5, X3 > 0, Xg > 0. 1.15 L(X) = 2X| -4x2 + 12X3-7X4 - X5 + Xg max, 3X| -12X2 +X4 -15x,-Xg <4, 7X| +Sxj - 6x3 -13X4 - 2X5 + Xg < 15, X, - 4X2 + X3 + 4X5 - 6Xg = 6, X3 > 0, x, > 0. 1.16 L(X) = 9X| + ЗХ3 - X4 + Xj - 2xg —>•min, 13x, - X2 + 4X3 -6x4 - Hx j - iOxg = 6, X, + X2 - ЗХ3 - 7X4 + X, - 4xg < 2, < 7X, - 2X2 -12x3 + ЗХ4 - 5xg = 9, X, > 0, X4 > 0. 1.17 L(X) = 5x, - 4x3 + 2X4 + 12x5 - Xg max, —2X2 +1Oxj + 6x4 - 7X5 + 4xg > -7, X, + 7X2 - 6x3 - X4 - Xj + 2xg < 10, 2X[ — X, + Зх'з + X4 — 1 Ixj — 7xg = 1, X| > 0, X4 > 0, Xg > 0. 1