Repeat Example 1 for Maximize P = 3 x 1 − 2 x 2 + x 3 subject to x 1 − 2 x 2 + x 3 ≥ 5 − x 1 − 3 x 2 + 4 x 3 ≤ − 10 2 x 1 + 4 x 2 + 5 x 3 ≤ 20 3 x 1 − x 2 − x 3 = − 15 x 1 , x 2 , x 3 ≥ 0
Repeat Example 1 for Maximize P = 3 x 1 − 2 x 2 + x 3 subject to x 1 − 2 x 2 + x 3 ≥ 5 − x 1 − 3 x 2 + 4 x 3 ≤ − 10 2 x 1 + 4 x 2 + 5 x 3 ≤ 20 3 x 1 − x 2 − x 3 = − 15 x 1 , x 2 , x 3 ≥ 0
Maximize
P
=
3
x
1
−
2
x
2
+
x
3
subject to
x
1
−
2
x
2
+
x
3
≥
5
−
x
1
−
3
x
2
+
4
x
3
≤
−
10
2
x
1
+
4
x
2
+
5
x
3
≤
20
3
x
1
−
x
2
−
x
3
=
−
15
x
1
,
x
2
,
x
3
≥
0
Q/Determine the set of points at which
-
f(z) = 622 2≥ - 4i/z12
i
and
differentiable
analytice
is:
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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