Advertisements
Advertisements
प्रश्न
Find the elasticity of supply when the supply function is given by x = 2p2 + 5 at p = 1.
Advertisements
उत्तर
Given x = 2p2 + 5
Differentiating with respect to 'p' we get,
`"dx"/"dp"` = 4p
Elasticity of Supply
`eta_s = "p"/x * "dx"/"dp"`
`=> eta_s = "p"/(2"p"^2 + 5)`(4p)
`= (4"p"^2)/(2"p"^2 + 5)`
when p = 1, `eta_s = (4(1)^2)/(2(1^2) + 5) = 4/(2 + 5) = 4/7`
APPEARS IN
संबंधित प्रश्न
A firm produces x tonnes of output at a total cost of C(x) = `1/10x^3 - 4x^2 - 20x + 7` find the
- average cost
- average variable cost
- average fixed cost
- marginal cost and
- marginal average cost.
Revenue function ‘R’ and cost function ‘C’ are R = 14x – x2 and C = x(x2 – 2). Find the
- average cost
- marginal cost
- average revenue and
- marginal revenue.
If the demand law is given by p = `10e^(- x/2)` then find the elasticity of demand.
Find the elasticity of demand in terms of x for the following demand laws and also find the value of x where elasticity is equal to unity.
p = (a – bx)2
The demand curve of a commodity is given by p = `(50 - x)/5`, find the marginal revenue for any output x and also find marginal revenue at x = 0 and x = 25?
For the demand function p x = 100 - 6x2, find the marginal revenue and also show that MR = p`[1 - 1/eta_"d"]`
Average fixed cost of the cost function C(x) = 2x3 + 5x2 – 14x + 21 is:
If demand and the cost function of a firm are p = 2 – x and C = -2x2 + 2x + 7 then its profit function is:
Instantaneous rate of change of y = 2x2 + 5x with respect to x at x = 2 is:
Profit P(x) is maximum when
