Nguyễn Ngọc Phan Văn

1. DAp AN DE THI HQC pHAN: MD HINH ToAN KINH TE
Mil hecph§n: 4051303 S8tin chi: 02
Kh6a: - D~i hoc h~Chinh qui
Ngay thi: / / Sir dVngtai li~u: DuQ'cD Khong dUQ'c0
CAU Y NOIDUNG "
DIEM
1 2
a 1
Bai toan qui hoach tuy~n tinh neu co phuong anva co ham muc tieu
hi chan tren (diroi) neu dat max (min) tren t~p phuong an thi co 0.5
phuong ant6i uu. Nghiala,
r(X)~max, If {X>'0vil3MER:f(X):>M
co PAT <=>
xeX xeX
rex) ~ min coPAW ¢} {X >'0vii3m ER: f'(xj > m 0.5
xeX xeX
b 1
Ta co t~p phuong an cua bai toan
2 1
x2 =-+-x1
3 3
1 1 0.5x. =-_-x
~ 3 3 I
Va f(x) = "!_x1+ 26
3 3
Ta th~y fXI ;:::0, f(x) ::;26nen bai toan co PA'TU' 0.5
3
2 5
a 2
Ta co tong phat =330 < tong thu = 360
G9i xij Ia hrong hang van chuyen til kho Ai vS dai If B, 0.25
(i = 1,3;j = 1,3)
DiSu kien: xi} ;:::O(i = 1,3;j = 1,3) 0.25
Theo de,tong chi phi v~n chuyen thap nhat 0.25
Nhir vay
f = lOxlI + 15xI2 + 9XI3 + 8x21 + 10x22 + 11x23
0.25
+12x31 + 14x32 + 12x33 ~min
XII + X12 + xl3 = 130
X21+x22 +X23 = 140 0.25
X31+ X32+ X33= 60
TOAN_MHTKT_DHCQ_A-Q TRANG 1I4-MD:060514575

2. XII +X21 +X31 ::;;110
XI2 + x22 + X32::;;160 0.25
X13+ X23+ X33 ::;;90
V~y mo hinh bai toan Ia
0.25Tim xij ~ O(i = 1,3;j = 1,3) theaman:
f = 10xII + 15xI2 + 9XI3 + 8x21 + 10x22 + 11x23
+12x31 + 14x32 + 12x33 -e-min
XII + XI2 + x13 = 130
X21+ X22+ X23= 140
X31+ X32+ X33= 60 0.25
XII +X21 +X31 ::;;110
XI2 + x22 + X32::;;160
x13 + X23+ X33 ::;;90
- -
xij ~ 0, i=I,3;j =1,3
b 2
fD = 130YI + 140Y2 + 60Y3 + 110Y4 + 160ys + 90Y6 ~max 0.25
YI +Y4 ::;;10
YI+Ys::;;15 0.25
YI+Y6::;;9
Y2+Y4 ::;;8
Y2+YS ::;;10 0.25
Y2+Y6 ::;;11
Y3+Y4 ::;;12
Y3 +Ys s14
0.25Y3+Y6 ::;;12
Y4s0;Ys ::;;0;Y6::;;0
c 2
Bai toan co 0 cam,ham muc tieu dat min nen M > 0, 100my y 0.25
Phanphoi hang va xac dinh h~ thong the vi 0.25
Xac dinh h~ so iroc IUQ'Ilgva vang dieu chinh 0.25
TOAN_MHTKT_DHCQ_A-Q TRANG 2/4-MD:060514575

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