Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
Given that p = `(50 - x)/5`
Revenue, R = px
`= ((50 - x)/5)`x
`= (50x - x^2)/5`
`= 1/5` (50x – x2)
Marginal Revenue (MR) = `"d"/"dx"`(R)
= `"d"/"dx" 1/5 (50x - x^2)`
= `1/5 "d"/"dx" (50x - x^2)`
= `1/5 (50 - 2x)`
Marginal revenue when x = 0 is, MR = `1/5` (50 – 2 × 0)
`= 1/5 xx 50`
= 10
When x = 25, marginal revenue is MR = `1/5` (50 – 2 × 25)
`= 1/5 (50 - 50)`
= 0
APPEARS IN
संबंधित प्रश्न
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.
For the demand function p = 550 – 3x – 6x2 where x is quantity demand and p is unit price. Show that MR =
Find the price elasticity of demand for the demand function x = 10 – p where x is the demand p is the price. Examine whether the demand is elastic, inelastic, or unit elastic at p = 6.
The demand and cost functions of a firm are x = 6000 – 30p and C = 72000 + 60x respectively. Find the level of output and price at which the profit is maximum.
Marginal revenue of the demand function p = 20 – 3x is:
If the demand function is said to be inelastic, then:
The elasticity of demand for the demand function x = `1/"p"` is:
For the cost function C = `1/25 e^(5x)`, the marginal cost is:
Instantaneous rate of change of y = 2x2 + 5x with respect to x at x = 2 is:
