Advertisements
Advertisements
प्रश्न
A firm’s marginal revenue function is MR = `20"e"^((-x)/10) (1 - x/10)`. Find the corresponding demand function
Advertisements
उत्तर
M.R = `20"e"^((-x)/10) (1 - x/10)`
M.R = `20"e"^((-1)/10^((x))) [1 + ((-1)/10) x]`
R = `int "MR" "d"x`
R = `int 20["e"^((-1)/10^((x))) (x)] "d"x`
R = `20x ["e"^((-1)/10^((x)))] + "c"`
When x = 0
R = 0
⇒ k = 0
∴ R = `(20x "e"^(- 1/10x))/x`
Demand function p = `"R"/x = (20x "e"^(- 1/10x))/x`
∴ p = `20 "e"^((-x)/10)`
APPEARS IN
संबंधित प्रश्न
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
The marginal cost function is MC = `300 x^(2/5)` and fixed cost is zero. Find out the total cost and average cost functions
If the marginal cost function of x units of output is `"a"/sqrt("a"x + "b")` and if the cost of output is zero. Find the total cost as a function of x
The marginal cost function of a commodity is given by MC = `14000/sqrt(7x + 4)` and the fixed cost is ₹ 18,000. Find the total cost and average cost
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
Find the consumer’s surplus and producer’s surplus for the demand function pd = 25 – 3x and supply function ps = 5 + 2x
Choose the correct alternative:
The given demand and supply function are given by D(x) = 20 – 5x and S(x) = 4x + 8 if they are under perfect competition then the equilibrium demand is
Choose the correct alternative:
For a demand function p, if `int "dp"/"p" = "k" int ("d"x)/x` then k is equal to
For the marginal revenue function MR = 6 – 3x2 – x3, Find the revenue function and demand function
The marginal cost of production of a firm is given by C'(x) = `20 + x/20` the marginal revenue is given by R’(x) = 30 and the fixed cost is ₹ 100. Find the profit function
