Advertisements
Advertisements
प्रश्न
Calculate the producer’s surplus at x = 5 for the supply function p = 7 + x
उत्तर
The supply function p = 7 + x
When x = 5
⇒ p = 7 + 5 = 12
∴ x0 = 5 and p0 = 12
Producer’s surplus
P.S = `x_0"p"_0 - int_0^(x_0) "g"(x) "d"x`
= `(5)(12) - int_0^5 (7 + x) "d"x`
= `60 - [7x + x^2/2]_0^5`
= `60 - {7(5) + (5)^2/2 - (0)}`
= `60 - [35 + 25/2]`
= `60 - (35 + 12.5)`
= `60 - 47.5`
= 12.5
= `25/2`
∴ P.S = `25/2` units
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
The marginal cost function of a product is given by `"dc"/("d"x)` = 100 – 10x + 0.1x2 where x is the output. Obtain the total and the average cost function of the firm under the assumption, that its fixed cost is ₹ 500
If the marginal revenue function for a commodity is MR = 9 – 4x2. Find the demand function.
The marginal cost function of a commodity is given by MC = `14000/sqrt(7x + 4)` and the fixed cost is ₹ 18,000. Find the total cost and average cost
If the marginal cost (MC) of production of the company is directly proportional to the number of units (x) produced, then find the total cost function, when the fixed cost is ₹ 5,000 and the cost of producing 50 units is ₹ 5,625
If MR = 14 – 6x + 9x2, Find the demand function
The demand function for a commodity is p = e–x .Find the consumer’s surplus when p = 0.5
Choose the correct alternative:
The given demand and supply function are given by D(x) = 20 – 5x and S(x) = 4x + 8 if they are under perfect competition then the equilibrium demand is
Choose the correct alternative:
The demand and supply function of a commodity are P(x) = (x – 5)2 and S(x) = x2 + x + 3 then the equilibrium quantity x0 is
Choose the correct alternative:
For a demand function p, if `int "dp"/"p" = "k" int ("d"x)/x` then k is equal to
