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
An account fetches interest at the rate of 5% per annum compounded continuously. An individual deposits ₹ 1,000 each year in his account. How much will be in the account after 5 years. (e0.25 = 1.284)
Determine the cost of producing 200 air conditioners if the marginal cost (is per unit) is C'(x) = `x^2/200 + 4`
If MR = 20 – 5x + 3x2, Find total revenue function
If the supply function for a product is p = 3x + 5x2. Find the producer’s surplus when x = 4
Choose the correct alternative:
The profit of a function p(x) is maximum when
Choose the correct alternative:
When x0 = 2 and P0 = 12 the producer’s surplus for the supply function Ps = 2x2 + 4 is
Choose the correct alternative:
The demand and supply function of a commodity are D(x) = 25 – 2x and S(x) = `(10 + x)/4` then the equilibrium price p0 is
A manufacture’s marginal revenue function is given by MR = 275 – x – 0.3x2. Find the increase in the manufactures total revenue if the production is increased from 10 to 20 units
For the marginal revenue function MR = 6 – 3x2 – x3, Find the revenue function and demand function
A company requires f(x) number of hours to produce 500 units. It is represented by f(x) = 1800x–0.4. Find out the number of hours required to produce additional 400 units. [(900)0.6 = 59.22, (500)0.6 = 41.63]
