Advertisements
Advertisements
प्रश्न
Calculate consumer’s surplus if the demand function p = 122 – 5x – 2x2, and x = 6
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 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 cost function of x units of output is `"a"/sqrt("a"x + "b")` and if the cost of output is zero. Find the total cost as a function of x
Given the marginal revenue function `4/(2x + 3)^2 - 1` show that the average revenue function is P = `4/(6x + 9) - 1`
If the marginal revenue function is R'(x) = 1500 – 4x – 3x2. Find the revenue function and average revenue function
Calculate consumer’s surplus if the demand function p = 50 – 2x and x = 20
The demand function for a commodity is p =`36/(x + 4)`. Find the consumer’s surplus when the prevailing market price is ₹ 6
Choose the correct alternative:
If the marginal revenue MR = 35 + 7x – 3x2, then the average revenue AR is
Choose the correct alternative:
For the demand function p(x), the elasticity of demand with respect to price is unity then
Choose the correct alternative:
When x0 = 2 and P0 = 12 the producer’s surplus for the supply function Ps = 2x2 + 4 is
Choose the correct alternative:
For a demand function p, if `int "dp"/"p" = "k" int ("d"x)/x` then k is equal to
