数学建模高分求解

Question

约束条件a1+a2+a3+a4<=7 a1+b1+c1>=6
b1+b2+b3+b4<=8 a2+b2+c2>=6
c1+c2+c3+c4<=3 a3+b3+c3>=3 a4+b4+c4>=3
目标函数min Z=5a1+8a2+7a3+9a4+4b1+9b2+10b3+7b4+8c1+4c2+2c3+9c4

怎么用lingo编程序，lingo我不会用，请大家帮帮忙

Answer 1

我提供一个Mathematica程序,
ConstrainedMin[z = 5a1 + 8a2 + 7a3 +
9a4 + 4b1 + 9b2 + 10b3 + 7b4 + 8c1 + 4c2 + 2c3 + 9c4, {a1 + a2 + a3 + a4
≤ 7, a1 + b1 + c1 ≥ 6,
b1 + b2 + b3 + b4 ≤ 8, a2 + b2 + c2 ≥ 6,
c1 + c2 + c3 + c4 ≤ 3, a3 + b3 + c3 ≥ 3, a4 + b4 + c4
≥ 3}, {a1, a2, a3, a4, b1, b2, b3, b4, c1, c2, c3, c4}]

{100, {a1 ->
1, a2 -> 6, a3 -> 0, a4 -> 0, b1 -> 5, b2 -> 0, b3 -> 0, b4 -> 3, c1 ->
0, c2 -> 0, c3 -> 3, c4 -> 0}}

最小值是100.

Answer 2

能用LINDO何必用LINGO呢。。。。

min 5x1+8x2+7x3+9x4+4y1+9y2+10y3+7y4+8z1+4z2+2z3+9z4
st
x1+x2+x3+x4<7
x1+y1+z1>6
y1+y2+y3+y4<8
x2+y2+z2>6
z1+z2+z3+z4<3
x3+y3+z3>3
x4+y4+z4>3

end

OBJECTIVE FUNCTION VALUE

1) 100.0000

VARIABLE VALUE REDUCED COST
X1 1.000000 0.000000
X2 6.000000 0.000000
X3 0.000000 1.000000
X4 0.000000 1.000000
Y1 5.000000 0.000000
Y2 0.000000 2.000000
Y3 0.000000 5.000000
Y4 3.000000 0.000000
Z1 0.000000 7.000000
Z2 0.000000 0.000000
Z3 3.000000 0.000000
Z4 0.000000 5.000000

Answer 3

刷分的问题