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
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.
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 – bx2
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.
The total cost function for the production of x units of an item is given by C = 10 - 4x3 + 3x4 find the
- average cost function
- marginal cost function
- marginal average cost function.
Average fixed cost of the cost function C(x) = 2x3 + 5x2 – 14x + 21 is:
Marginal revenue of the demand function p = 20 – 3x is:
For the cost function C = `1/25 e^(5x)`, the marginal cost is:
