An amusement park has a marginal cost function C ( x ) = 1000 e − x + 5 , where x represents the number of tickets sold, and a marginal revenue function given by R ( x ) = 60 − 0.1 x . Find the total profit generated when selling 550 tickets. Use a calculator to determine intersection points, if necessary, to two decimal places.
An amusement park has a marginal cost function C ( x ) = 1000 e − x + 5 , where x represents the number of tickets sold, and a marginal revenue function given by R ( x ) = 60 − 0.1 x . Find the total profit generated when selling 550 tickets. Use a calculator to determine intersection points, if necessary, to two decimal places.
An amusement park has a marginal cost function
C
(
x
)
=
1000
e
−
x
+
5
, where x represents the number of tickets sold, and a marginal revenue function given by
R
(
x
)
=
60
−
0.1
x
. Find the total profit generated when selling 550 tickets. Use a calculator to determine intersection points, if necessary, to two decimal places.
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%