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 elasticity of demand with respect to price for a commodity is given by `((4 - x))/x`, where p is the price when demand is x. Find the demand function when the price is 4 and the demand is 2. Also, find the revenue function
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)
The marginal cost of production of a firm is given by C'(x) = 5 + 0.13x, the marginal revenue is given by R'(x) = 18 and the fixed cost is ₹ 120. Find the profit function
The demand function for a commodity is p = e–x .Find the consumer’s surplus when p = 0.5
Calculate the producer’s surplus at x = 5 for the supply function p = 7 + x
The demand function for a commodity is p =`36/(x + 4)`. Find the consumer’s surplus when the prevailing market price is ₹ 6
Under perfect competition for a commodity the demand and supply laws are Pd = `8/(x + 1) - 2` and Ps = `(x + 3)/2` respectively. Find the consumer’s and producer’s surplus
Choose the correct alternative:
The demand function for the marginal function MR = 100 – 9x2 is
The marginal revenue function for a firm given by MR = `2/(x + 3) - (2x)/(x + 3)^2 + 5`. Show that the demand function is P = `(2x)/(x + 3)^2 + 5`
