Advertisements
Advertisements
प्रश्न
Calculate consumer’s surplus if the demand function p = 50 – 2x and x = 20
उत्तर
Demand function p = 50 – 2x and x = 20
When x = 2
p = 50 – 2(20)
p = 50 – 40 = 10
∴ p0 = 10
CS = `int _0^x` (demand function) dx – (Price × quantity demanded)
= `int _0^20` (50 – 2x) dx – (10 × 20)
= `[50x - 2(x^2/x)]_0^20 - 200`
= `[50x - x^2]_0^20 - 200`
= {50(20) – (20)2 – [0]} – 200
= (1000 – 400) – 200
= 600 – 200
∴ C.S = 400 units
APPEARS IN
संबंधित प्रश्न
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
The marginal cost function is MC = `300 x^(2/5)` and fixed cost is zero. Find out the total cost and average cost functions
Find the revenue function and the demand function if the marginal revenue for x units is MR = 10 + 3x – x2
Calculate consumer’s surplus if the demand function p = 122 – 5x – 2x2, and x = 6
If the supply function for a product is p = 3x + 5x2. Find the producer’s surplus when x = 4
The demand and supply functions under perfect competition are pd = 1600 – x2 and ps = 2x2 + 400 respectively. Find the producer’s surplus
The demand equation for a products is x = `sqrt(100 - "p")` and the supply equation is x = `"P"/2 - 10`. Determine the consumer’s surplus and producer’s surplus, under market equilibrium
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
A manufacture’s marginal revenue function is given by MR = 275 – x – 0.3x2. Find the increase in the manufactures total revenue if the production is increased from 10 to 20 units
The demand equation for a product is Pd = 20 – 5x and the supply equation is Ps = 4x + 8. Determine the consumers surplus and producer’s surplus under market equilibrium
