Advertisements
Advertisements
प्रश्न
Calculate consumer’s surplus if the demand function p = 122 – 5x – 2x2, and x = 6
Advertisements
उत्तर
Demand function p = 122 – 5x – 2x2 and x = 6
When x = 6
p = 122 – 5(6) – 2(6)2
= 122 – 30 – 2(36)
= 122 – 102
= 20
∴ p0 = 20
.S = `int_^x` (demand function) dx – (Price × quantity demanded)
- `int_0^6` (122 – 5x – 2x2) dx – (20 × 6)
= `[122x - 5(x^2/2) - 2(x^3/3)]_0^6 - 120`
= `[122(6) - ((6)^2/2) - 2((6)^3/3) - [0]] - 120`
= `[732 - ((5(36))/2) - ((2(216))/3)] - 120`
= [732 – 5(18) – 2(72)] – 120
= 732 – 90 – 144 – 120
= 732 – 354
= 378
∴ CS = 378 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 revenue (in thousands of Rupees) functions for a particular commodity is `5 + 3"e"^(- 003x)` where x denotes the number of units sold. Determine the total revenue from the sale of 100 units. (Given e–3 = 0.05 approximately)
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 = 20 – 5x + 3x2, Find total revenue function
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:
If the marginal revenue function of a firm is MR = `"e"^((-x)/10)`, then revenue is
Choose the correct alternative:
The producer’s surplus when the supply function for a commodity is P = 3 + x and x0 = 3 is
Choose the correct alternative:
The demand and supply function of a commodity are D(x) = 25 – 2x and S(x) = `(10 + x)/4` then the equilibrium price p0 is
Choose the correct alternative:
For a demand function p, if `int "dp"/"p" = "k" int ("d"x)/x` then k is equal to
A company requires f(x) number of hours to produce 500 units. It is represented by f(x) = 1800x–0.4. Find out the number of hours required to produce additional 400 units. [(900)0.6 = 59.22, (500)0.6 = 41.63]
