Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 6

EASY

12th ICSE

IMPORTANT

Earn 100

If $C = 2 x (\frac{x + 4}{x + 1}) + 6$ is the total cost of production of $x$ units of a commodity, show that marginal cost falls continuously as $x$ increases.

Important Questions on Application of Calculus in Commerce and Economics

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 7

The average cost function

A C

for a commodity is given by

A C = x + 5 + \frac{36}{x}

in terms of output

x

. Find the total cost and the marginal cost as the functions of

x

.

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 7

The average cost function AC for a commodity is given by

A C = x + 5 + \frac{36}{x}

in terms of output x. Find the output for which AC increases.

EASY

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IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 8

If $C (x) = x^{3} - 24 x^{2} + 600 x$ . Find marginal cost and average cost.

EASY

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IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 8

If

C (x) = x^{3} - 24 x^{2} + 600 x

, calculate the range where

A C

falls.

EASY

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IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 8

If

C (x) = x^{3} - 24 x^{2} + 600 x

, find the point where

A C = M C

. Verify that

A C

is minimum at this point. What is the minimum average cost ?

EASY

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IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 9

If

C = a x^{2} + b x + k

is the total cost function, find slope of average cost function (

A C

function).

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 9

If

C = a x^{2} + b x + k

is the total cost function, find slope of marginal cost function (

M C

function).

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 10

The demand function of a monopolist is given by

p = 1500 - 2 x - x^{2}

. Find the marginal revenue for any level of output

x

. Also, find the marginal revenue

(M R)

when

x = 10

.