Сборник задач по методам принятия управленческих решений

2.20 L(X) = 2x, + Xj -x^+x^ -> max, ~x, + 2^2 + X3 = 2, px,+ 5х2 + Х з + Х 4 + 2х5 = 14, X j >0, j = l,5. X,~X2+Xs=l, 2.21 L(X) = 6x, +x2 + x^+ 2xj max, ~"X| + 2^2 + x^ — 2, ' 2x, + 6X2 + 2X3 + X4 + X5 = 18, x^ > 0, j = 1,5. X| - 2X2 + x, = 2, 2.22 L(X) = ЗХ2 + Xj -x^ +X5 —> max, ~X| + 2X2 + Xj = 2, < X, + X2 + .«4 = 2, Xj ^ 0, ; = 1,5. 2X| + Xj 4- Xj + X4 + 2X5 = 6, 2.23 L(X) = 3X| + X, - 2X4 + x, —> max, 2X| + 2X2 + X, + X4 + x, = 6, < 2X|-X2+ X4 = 2, Xj >0, y=I,5. X| + x, + X5 = 2, 2.24 L(X) = 5X2 + Xj — X4 + Xj —^ max, -X| + X2 + Xj = 2, < X,-2X2+ X4 = 2, Xj>0, j = l,5. 2x, + x, + x, + X4 + 2X5 = ] 0,