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
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 function is MC = `300 x^(2/5)` and fixed cost is zero. Find out the total cost and average cost functions
Determine the cost of producing 200 air conditioners if the marginal cost (is per unit) is C'(x) = `x^2/200 + 4`
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
The demand function for a commodity is p = e–x .Find the consumer’s surplus when p = 0.5
Choose the correct alternative:
For the demand function p(x), the elasticity of demand with respect to price is unity then
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
A company has determined that marginal cost function for x product of a particular commodity is given by MC = `125 + 10x - x^2/9`. Where C is the cost of producing x units of the commodity. If the fixed cost is ₹ 250 what is the cost of producing 15 units
