Advertisements
Advertisements
प्रश्न
Calculate consumer’s surplus if the demand function p = 50 – 2x and x = 20
Advertisements
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 cost of an overhaul of an engine is ₹ 10,000 The operating cost per hour is at the rate of 2x – 240 where the engine has run x km. Find out the total cost if the engine runs for 300 hours after overhaul
Elasticity of a function `("E"y)/("E"x)` is given by `("E"y)/("E"x) = (-7x)/((1 - 2x)(2 + 3x))`. Find the function when x = 2, y = `3/8`
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
Choose the correct alternative:
If MR and MC denotes the marginal revenue and marginal cost functions, then the profit functions is
Choose the correct alternative:
The marginal revenue and marginal cost functions of a company are MR = 30 – 6x and MC = – 24 + 3x where x is the product, then the profit function is
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 profit of a function p(x) is maximum when
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:
If MR and MC denote the marginal revenue and marginal cost and MR – MC = 36x – 3x2 – 81, then the maximum profit at x 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]
