Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

EASY

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The marginal revenue of selling x units of a commodity is given by $M R = 20 e^{x / 10} (1 + \frac{x}{10})$ . If the revenue obtained on selling $10$ units of the commodity is Rs $200 e$ , find the revenue function.

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Important Questions on Application of Calculus

EASY

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

Cotyledons are also called-

EASY

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The demand

x

of a commodity in terms of price

p

is given by

x = \frac{1}{9} (245 - 7 p)

. The average cost is

R s . 20

per unit. Find the revenue function in terms of

p

.

EASY

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The cost of manufacturing

x

units of toys is modelled by

C (x) = 10 x - 200

. The profit obtained from selling

x

units is modelled by

P (x) = 20 x - 4

. Find the revenue function

R

.

MEDIUM

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

A manufacturer can sell

x

items of commodity at a price of

Rs . (330 - x)

each. Find the revenue function along with the cost of producing

x

items is

Rs . (x^{2} + 10 x + 12)

, determine the profit function.

MEDIUM

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The demand function of a monopolist is given by

P = 2000 - 2 x - x^{2}

. Calculate the marginal revenue function from the revenue function derived from the demand function.

MEDIUM

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The marginal revenue of selling x units of a commodity is given by

M R = 20 e^{x / 10} (1 + \frac{x}{10})

. If the revenue obtained
on selling

10

units of the commodity is Rs

200 e

, find the revenue function.

MEDIUM

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The demand function of a monopolist is given by

P = 2000 - 2 x - x^{2}

. Find (i) the revenue function, (ii) the marginal revenue function.

MEDIUM

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The demand function of a monopolist is given by

P = 3000 - 2 x - x^{2}

. Find (i) the revenue function, (ii) the marginal revenue function.

MEDIUM

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The demand function of a monopolist is given by

P = 2000 + 4 x - x^{2}

. Find (i) the revenue function, (ii) the marginal revenue function.

MEDIUM

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The demand function of a monopolist is given by

P = 2000 + 4 x + 3 x^{2}

. Find (i) the revenue function, (ii) the marginal revenue function.

MEDIUM

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The total cost function is given by

C = 4 X^{2} + 7 X + 10 .

Find the average cost and marginal cost when

X = 4 .

MEDIUM

Mathematics>Integral Calculus>Application of Calculus>Revenue and Demand Function

The demand function of a commodity is given by

D = 35 + 3 P - P^{2} .

Find the Average revenue and marginal Revenue when

P = 2 .