Сборник задач по методам принятия управленческих решений

2.10 L(X) = ~JC, + 3x2 ~ -^3 + ^4 —> max, 2x, + 3^3 + = 4, ' л:, - Xj + 2x^ + ЗХ5 = 4, Xj >0, j = 1,5. _3x, + 3^2 + 6x, + ЗХ4 + 6Xj = 15, 2.11 L(X) = 2X2 + X4 - 3xj max, 4X] + Xj + Xj + Xj = 6, " —Xj +Sxj - X3 + 3X5 = 1, Xj >0, j = 1,5. 8X| + 4x, + 12X3 + 4Хд + 12X5 = 24, 2.12 L(X) = X, +2x j + 2x3 H- X4 + 6x3 max, X | + 8 X 2 + З Х 3 + Х4 + 9Х5 = 18, < X| +5X2 +ЗХ3 + X4 +9X5 = 13, Xj >0,./' = 1,5. Xj + X5 = 3, 2.13 Z,(X) = X| + X2 +X3 +X4 + X5 max, X, + X2 + 2хд = 4, < —2x2 —2X3 + X4 -.Vj =-6, Xj >0, j = 1,5. X j — Xt + 6x3 + X4 + X5 = 12, 2.14 L(X) = -5x, - x, + ЗХ3 - X4 -> max, X, + 2X2 + ЗХ3 + 4X4 + x, = 7, < ЗХ2-Хз+4Х4=7, X^>0,,/ = 1,5. 4X2 + 8X4 + X5 = 12,