The marginal cost function is MC = 100 \(\sqrt x\). find AC given that TC  = 0 when the out put is zero is ________.

(a)

\(\frac { 200 }{ 3 } { x }^{ \frac { 1 }{ 2 } }\)

(b)

\(\frac { 200 }{ 3 } { x }^{ \frac { 3 }{ 2 } }\)

(c)

\(\frac { 200 }{ { 3x }^{ \frac { 3 }{ 2 } } } \)

(d)

\(\frac { 200 }{ { 3x }^{ \frac { 1 }{ 2 } } } \)

If MR and MC denote the marginal revenue and marginal cost and MR − MC = 36x − 3x² − 81 , then the maximum profit at x is equal to ________.

(a)

3

(b)

6

(c)

9

(d)

5

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

(a)

MR

(b)

MC

(c)

C(x)

(d)

AC

Area bounded by y = e^x between the limits 0 to 1 is ________.

(a)

( e −1) sq.units

(b)

( e +1) sq.units

(c)

\(\left( 1-\frac { 1 }{ e } \right) \)sq.units

(d)

\(\left( 1+\frac { 1 }{ e } \right) \)sq.units

Area bounded by y = \(\left| x \right| \) between the limits 0 and 2 is ________.

(a)

1sq.units

(b)

3 sq.units

(c)

2 sq.units

(d)

4 sq.units