Investment You have inherited $ 10 , 000 just prior to a presidential election and wish to invest it in solar energy and oil stocks. An investment advisor provides you with a payoff matrix that indicates your probable 4 -year gains, depending on which party comes into office. How should you invest your money so that you would have the largest expected gain irrespective of how the election turns out? Player C (fate) Republican Democrat Player R (you) Solar energy Oil $ 1 , 000 $ 5 , 000 $ 4 , 000 $ 3 , 000 Note: For a one-time play (investment), you would split your investment proportional to the entries in your optimal strategy matrix. Assume that fate is a very clever player. Then if fate deviates from its optimal strategy, you know you will not do any worse than the value of the game, and you may do better.
Investment You have inherited $ 10 , 000 just prior to a presidential election and wish to invest it in solar energy and oil stocks. An investment advisor provides you with a payoff matrix that indicates your probable 4 -year gains, depending on which party comes into office. How should you invest your money so that you would have the largest expected gain irrespective of how the election turns out? Player C (fate) Republican Democrat Player R (you) Solar energy Oil $ 1 , 000 $ 5 , 000 $ 4 , 000 $ 3 , 000 Note: For a one-time play (investment), you would split your investment proportional to the entries in your optimal strategy matrix. Assume that fate is a very clever player. Then if fate deviates from its optimal strategy, you know you will not do any worse than the value of the game, and you may do better.
Solution Summary: The author explains that the player R should invest equally to Republican and Democrat to get the largest gain, regardless of how the election turned out.
Investment You have inherited
$
10
,
000
just prior to a presidential election and wish to invest it in solar energy and oil stocks. An investment advisor provides you with a payoff matrix that indicates your probable
4
-year gains, depending on which party comes into office. How should you invest your money so that you would have the largest expected gain irrespective of how the election turns out?
Player
C
(fate)
Republican
Democrat
Player
R
(you)
Solar
energy
Oil
$
1
,
000
$
5
,
000
$
4
,
000
$
3
,
000
Note: For a one-time play (investment), you would split your investment proportional to the entries in your optimal strategy matrix. Assume that fate is a very clever player. Then if fate deviates from its optimal strategy, you know you will not do any worse than the value of the game, and you may do better.
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
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
Chapter 11 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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