Free Printable Integral calculus -II

1.

Area bounded by the curve y= e ^−2xbetween the limits 0 ≤ ≤ x ∞ is

a)

1

b)

1/2

c)

5

d)

2

2.

If MR and MC denotes the marginal revenue and marginal cost functions, then the profit functions is

a)

p=\int\left(MR_{ }^{ }-MC\right)\ dx\ +k

b)

$p=\int\left(MR+MC\right)dx\ +k$

c)

$p=\int\left(MR\right)\left(MC\right)\ dx\ +k$

d)

$P=\int\left(R_{ }-C\right)\ dx\ +k$

3.

The demand and supply functions are given by D (x)= 16- x² and S (x ) = + 2x²+4 are under perfect competition, then the equilibrium price x is

a)

2

b)

3

c)

4

d)

5

4.

The given demand and supply function are given by D (x ) = 20 -5x and S (x ) = 4x+ 8 if they are under perfect competition then the equilibrium demand is

a)

40

b)

41/2

c)

40/3

d)

41/5

5.

For the demand function p(x), the elasticity of demand with respect to price is unity then

a)

revenue is constant

b)

cost function is constant

c)

profit is constant

d)

none of these

6.

The profit of a function p(x) is maximum when

a)

MC-MR=0

b)

MC=0

c)

MR=0

d)

MC+MR=0

7.

Whenx₀=2 and p₀₌12 the producer’s surplus for the supply function P_s=2x²+4 is

a)

31/5

b)

31/2

c)

32/3

d)

30/7

8.

Area bounded by y=x between the lines y =1 y=2 with y axis is

a)

1/2

b)

5/2

c)

3/2

d)

1

9.

For a demand function p,if

\int\frac{\text{d}p}{\text{p}}\ =\ k\int\frac{\text{d}x}{\text{x}}_{ }^{ }then\ k\ is

a)

$\eta_d$

b)

$-\eta_d$

c)

$\frac{-1}{\eta_{d_{ }}}$

d)

$\frac{1}{\eta_d}$

10.

If the marginal revenue of a firm is constant, then the demand function is

a)

MR

b)

MC

c)

C(X)

d)

AC

Integral calculus -II

Total questions: 10

Worksheet time: 5mins

Similar Resources on Wayground