Advertisements
Advertisements
प्रश्न
If the marginal revenue function for a commodity is MR = 9 – 4x2. Find the demand function.
Advertisements
उत्तर
Marginal Revenue function MR = 9 – 4x2
Revenue function R = `int "MR" "d"x`
R = `int (9 - 4x^2) "d"x`
R = `9x - 4(x^3/3) + "k"`
When x = 0
R = 0
⇒ k = 0
∴ R = `9x - (4x^3)/3`
⇒ px = `9x - (4x^3)/3` .......`("p" = (4x^2)/x)`
p = `((9x - (4x^3)/3))/x`
= `9 - (4x^3)/3`
∴Demand function = `9 - (4x^2)/3`
APPEARS IN
संबंधित प्रश्न
The cost of an overhaul of an engine is ₹ 10,000 The operating cost per hour is at the rate of 2x – 240 where the engine has run x km. Find out the total cost if the engine runs for 300 hours after overhaul
The marginal cost function of a product is given by `"dc"/("d"x)` = 100 – 10x + 0.1x2 where x is the output. Obtain the total and the average cost function of the firm under the assumption, that its fixed cost is ₹ 500
Given the marginal revenue function `4/(2x + 3)^2 - 1` show that the average revenue function is P = `4/(6x + 9) - 1`
If the marginal revenue function is R'(x) = 1500 – 4x – 3x2. Find the revenue function and average revenue function
Find the revenue function and the demand function if the marginal revenue for x units is MR = 10 + 3x – x2
Calculate consumer’s surplus if the demand function p = 50 – 2x and x = 20
Calculate consumer’s surplus if the demand function p = 122 – 5x – 2x2, and x = 6
The demand function for a commodity is p = e–x .Find the consumer’s surplus when p = 0.5
If the supply function for a product is p = 3x + 5x2. Find the producer’s surplus when x = 4
Choose the correct alternative:
The marginal cost function is MC = `100sqrt(x)`. find AC given that TC = 0 when the output is zero is
