Advertisements
Advertisements
प्रश्न
Find out the indicated elasticity for the following function:
p = xex, x > 0; ηs
Advertisements
उत्तर
Given p = xex
Differentiating with respect to 'x' we get,
`"dp"/"dx" = x*e^x + e^x(1) = e^x (x + 1)`
`"dx"/"dp" = 1/(e^x(x + 1))`
Elasticity of demand
`eta_"d" = "p"/x * "dx"/"dp"`
`therefore eta_"d" = cancel(x e^x)/(cancel x) (1/(cancel(e^x) (x + 1)))`
`= 1/(x + 1)`
APPEARS IN
संबंधित प्रश्न
The total cost of x units of output of a firm is given by C = `2/3x + 35/2`. Find the
- cost when output is 4 units
- average cost when output is 10 units
- marginal cost when output is 3 units
The supply function of certain goods is given by x = a`sqrt("p" - "b")` where p is unit price, a and b are constants with p > b. Find elasticity of supply at p = 2b.
For the demand function x = `25/"p"^4`, 1 ≤ p ≤ 5, determine the elasticity of demand.
Find the equilibrium price and equilibrium quantity for the following functions.
Demand: x = 100 – 2p and supply: x = 3p – 50.
Find the elasticity of supply when the supply function is given by x = 2p2 + 5 at p = 1.
For the demand function p x = 100 - 6x2, find the marginal revenue and also show that MR = p`[1 - 1/eta_"d"]`
The elasticity of demand for the demand function x = `1/"p"` is:
Profit P(x) is maximum when
A company begins to earn profit at:
The demand function is always
