Advertisements
Advertisements
प्रश्न
The demand function for a commodity is p =`36/(x + 4)`. Find the consumer’s surplus when the prevailing market price is ₹ 6
उत्तर
The demand function for a commodity
p = `36/(x + 4)`
When p = 6
⇒ 6 = `36/(x + 4)`
x + 4 = `36/6`
⇒ x + 4 = 6
x = 2
∴ p0 = 6 and x0 = 2
The consumer’s surplus
C.S = `int_0^x` f(x) dx – x0p0
= `int_0^2 (36/(x + 4)) "d"x - 2(6)`
= `36 [log (x + 4)]_0^2 - 12`
= 36 [log (2 + 4) – log (0 + 4)] – 12
= 36 [log6 – log4] – 12
= `36 [log(6/4)] - 12`
∴ C.S = `36 log(6/4) - 12` 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
Determine the cost of producing 200 air conditioners if the marginal cost (is per unit) is C'(x) = `x^2/200 + 4`
Find the revenue function and the demand function if the marginal revenue for x units is MR = 10 + 3x – x2
If MR = 20 – 5x + 3x2, Find total revenue function
Calculate consumer’s surplus if the demand function p = 122 – 5x – 2x2, and x = 6
Calculate the producer’s surplus at x = 5 for the supply function p = 7 + x
Choose the correct alternative:
If the marginal revenue MR = 35 + 7x – 3x2, then the average revenue AR is
Choose the correct alternative:
When x0 = 2 and P0 = 12 the producer’s surplus for the supply function Ps = 2x2 + 4 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
A company has determined that marginal cost function for x product of a particular commodity is given by MC = `125 + 10x - x^2/9`. Where C is the cost of producing x units of the commodity. If the fixed cost is ₹ 250 what is the cost of producing 15 units
