Сборник задач по методам принятия управленческих решений

1.06 Z,(X) = 15Х| + Ix^ - 2^3 - 4^5 - 9xg -> min, -lOxj +5^2 +8X3-2X4 +4X5 -13x^ =13, 1 Ix, -12X2 + ЗХ3 + X4 + lOxj + 2xg < 5, -14X| +6x2 -2X3-7X4 + 9X5 >~2, X, >0, X3 >0. 1.07 ДХ ) - lOx, +8x2+7x3 -IIX4 -9X5-6X5 —> max, 15X| +7X2 +8x4 +4xj - 15X5 < 10, -X| + 6x2 + 8x3 - 7X4 + 2X5 > -4, < -8X| +14X2 + 5X3 -2X4 + i l x j -5x^ = 3, _X4 >0, x^ >0. 1.08 L(X) = 5x, -5X2 + 4X3 + 1ЗХ4 + 7X5 - 2xj min, x:, - 12X2 - 6x3 + X46X5 + 5X4 = 7, —Зхт + Xj +14X4 -12X5 - x^ = 2, —2X| - 4X2 + 5X3 + ЗХ4 - Xj + 2X(; < 5, ^Гз > 0, Xj > 0. 1.09 L(X) = 12X| +7X2 +5X3 - 7 X 4 -IIX5 +3X (5 max, —3x, - 6x2 - 5X3 +12X4 - Xj + 6x5 > -8, 11X2 -4Хз + 9X4 -12X5 -7Хд < 10, л —7x, + 2X2 + ЗХ3 - 9X4 - 5X5 +13Xf; = 8, л, > О, X, > 0.