Answer:
The correct option is B 50
Given system are
x
1
+
3
x
2
≤
40
.
.
.
(
i
)
3
x
1
+
x
2
≤
24
.
.
.
(
i
i
)
x
1
+
x
2
≤
10
.
.
.
.
(
i
i
i
)
x
1
>
0
,
x
2
>
0
Objective function,
z
=
2
x
1
+
5
x
2
Solving the eqs. (ii) and (iii); we get
A
t
A
(
0
,
10
)
,
z
m
a
x
=
2
×
0
+
5
×
10
=
50
A
t
C
(
8
,
0
)
,
z
m
a
x
=
8
×
2
+
5
×
0
=
16
A
t
B
(
7
,
3
)
,
z
m
a
x
=
2
×
7
+
5
×
3
=
29
So maximum value of z = 50
Step-by-step explanation:
The production constraints are:
x
1
+
3
x
2
≤
40
3
x
1
+
x
2
≤
24
x
1
+
x
2
≤
10
x
1
>
0
x
2
>
0
