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Abstract
Keywords
n nMax z c x c x c x
n na x a x a x b
n na x a x a x b
m m mn n ma x a x a x b
m mp b p b p b B
j ix b j n i m
mb b b b
i pi i B
m
bi
A. Varying Cost of Raw Materials
ipi
Q ipi pi
i
i i in n i ia x a x a x b d
bi Q di i pi
k bk pk
pk
Qpk pk
World Academy of Science, Engineering and TechnologyInternational Journal of Industrial and Systems Engineering
Vol:12, No:5, 2018
519International Scholarly and Scientific Research & Innovation 12(5) 2018 scholar.waset.org/1307-6892/10008915
Inte
rnat
iona
l S
c ien
ce I
ndex
, Ind
u str
ial
and
Sy s
tem
s E
ng i
nee
r ing
Vo
l:1
2, N
o:5
, 20
18
wa s
e t.o
rg/P
ub l
ica t
ion
/100
089
15
bk pk kdk pk
k
k
k k kn n k ka x a x a x b d
k
k
k
b Q y
d Q y
d M y
k k k k m mp b p b p b p d p b B
M M k Q
Q y y
y y
y1 y2
cj xj
sj j
zn m
j j i i k kj i k K
s x p b p d
K
dk k K
pk
m
i i k ki k K
p b p d B
bi
Q di
bi
Qpi
sj
World Academy of Science, Engineering and TechnologyInternational Journal of Industrial and Systems Engineering
Vol:12, No:5, 2018
520International Scholarly and Scientific Research & Innovation 12(5) 2018 scholar.waset.org/1307-6892/10008915
Inte
rnat
iona
l S
c ien
ce I
ndex
, Ind
u str
ial
and
Sy s
tem
s E
ng i
nee
r ing
Vo
l:1
2, N
o:5
, 20
18
wa s
e t.o
rg/P
ub l
ica t
ion
/100
089
15
World Academy of Science, Engineering and TechnologyInternational Journal of Industrial and Systems Engineering
Vol:12, No:5, 2018
521International Scholarly and Scientific Research & Innovation 12(5) 2018 scholar.waset.org/1307-6892/10008915
Inte
rnat
iona
l S
c ien
ce I
ndex
, Ind
u str
ial
and
Sy s
tem
s E
ng i
nee
r ing
Vo
l:1
2, N
o:5
, 20
18
wa s
e t.o
rg/P
ub l
ica t
ion
/100
089
15
B
cj xj cj
Aj
xj i
z j j i i k kj i k K
s x p b p d K
K
S S S S
Q Q
p p
p p
ij j i ij
a x b d i
di i K aij
b y d y d M y
b y d y d M y
M M k
y y y yy + y = y + y =
World Academy of Science, Engineering and TechnologyInternational Journal of Industrial and Systems Engineering
Vol:12, No:5, 2018
522International Scholarly and Scientific Research & Innovation 12(5) 2018 scholar.waset.org/1307-6892/10008915
Inte
rnat
iona
l S
c ien
ce I
ndex
, Ind
u str
ial
and
Sy s
tem
s E
ng i
nee
r ing
Vo
l:1
2, N
o:5
, 20
18
wa s
e t.o
rg/P
ub l
ica t
ion
/100
089
15
i i k ki k K
p b p d
xj
b b
x x
x x
x x
x x
x x
xj
bi di
yj
Qy
y
Q
World Academy of Science, Engineering and TechnologyInternational Journal of Industrial and Systems Engineering
Vol:12, No:5, 2018
523International Scholarly and Scientific Research & Innovation 12(5) 2018 scholar.waset.org/1307-6892/10008915
Inte
rnat
iona
l S
c ien
ce I
ndex
, Ind
u str
ial
and
Sy s
tem
s E
ng i
nee
r ing
Vo
l:1
2, N
o:5
, 20
18
wa s
e t.o
rg/P
ub l
ica t
ion
/100
089
15
World Academy of Science, Engineering and TechnologyInternational Journal of Industrial and Systems Engineering
Vol:12, No:5, 2018
524International Scholarly and Scientific Research & Innovation 12(5) 2018 scholar.waset.org/1307-6892/10008915
Inte
rnat
iona
l S
c ien
ce I
ndex
, Ind
u str
ial
and
Sy s
tem
s E
ng i
nee
r ing
Vo
l:1
2, N
o:5
, 20
18
wa s
e t.o
rg/P
ub l
ica t
ion
/100
089
15