Advertisements
Advertisements
प्रश्न
The consumption expenditure Ec of a person with the income x. is given by Ec = 0.0006x2 + 0.003x. Find MPC, MPS, APC and APS when the income x = 200.
The consumption expenditure Ec of a person with income x is given by Ec = 0.0006x2 + 0.003x. Find the average propensity to consume (APC), marginal propensity to consume (MPC) when his income is ₹ 200. Also find his marginal propensity to save (MPS).
The consumption expenditure Ec of a person with income x is given by Ec = 0.0006x2 + 0.003x.
Find average propensity to consume, marginal propensity to consume when his income is ₹ 200. Also find his marginal propensity to save and average propensity to save.
Advertisements
उत्तर
The expenditure Ec of a person with income x is given by
Ec = 0.0006x2 + 0.003x
So, marginal propensity to consume (MPC) = `(dE_c)/(dx)`
= `d/(dx)(0.0006x^2 + 0.003x)`
= 0.0006 × 2x + 0.003
= 0.0012x + 0.003
When x = 200,
MPC = (0.0012 × 200) + 0.003
= 0.24 + 0.003 = 0.243
MPS = 1 − MPC
= 1 − 0.243
= 0.757
Now APC =`E_c/x`
= `(0.0006x^2 + 0.003x)/x`
= 0.0006x + 0.003
When x = 200
APC = 0.0006 × 200 + 0.003
= 0.12 + 0.003 = 0.123
APS = 1 − APC
= 1 − 0.123
= 0.877
APPEARS IN
संबंधित प्रश्न
The amount of pollution content added in air in a city due to x-diesel vehicles is given by P(x) = 0.005x3 + 0.02x2 + 30x. Find the marginal increase in pollution content when 3 diesel vehicles are added and write which value is indicated in the above question.
The side of an equilateral triangle is increasing at the rate of 2 cm/s. At what rate is its area increasing when the side of the triangle is 20 cm ?
Find the intervals in which the following functions are strictly increasing or decreasing:
x2 + 2x − 5
Find the intervals in which the following functions are strictly increasing or decreasing:
6 − 9x − x2
Show that f(x) = \[\frac{1}{x}\] is a decreasing function on (0, ∞) ?
Find the interval in which the following function are increasing or decreasing \[f\left( x \right) = \frac{3}{2} x^4 - 4 x^3 - 45 x^2 + 51\] ?
Find the intervals in which f(x) = sin x − cos x, where 0 < x < 2π is increasing or decreasing ?
Show that f(x) = e1/x, x ≠ 0 is a decreasing function for all x ≠ 0 ?
Show that f(x) = loga x, 0 < a < 1 is a decreasing function for all x > 0 ?
Show that f(x) = sin x − cos x is an increasing function on (−π/4, π/4)?
Find the intervals in which f(x) = (x + 2) e−x is increasing or decreasing ?
Prove that the function f given by f(x) = x3 − 3x2 + 4x is strictly increasing on R ?
Write the set of values of a for which the function f(x) = ax + b is decreasing for all x ∈ R ?
If the function f(x) = x2 − kx + 5 is increasing on [2, 4], then
The price P for demand D is given as P = 183 + 120 D – 3D2.
Find D for which the price is increasing.
If x = cos2 θ and y = cot θ then find `dy/dx at θ=pi/4`
Find the intervals in which the function `f("x") = (4sin"x")/(2+cos"x") -"x";0≤"x"≤2pi` is strictly increasing or strictly decreasing.
Find the value of x, such that f(x) is increasing function.
f(x) = x2 + 2x - 5
Let f(x) = x3 − 6x2 + 9𝑥 + 18, then f(x) is strictly decreasing in ______
A circular pIate is contracting at the uniform rate of 5cm/sec. The rate at which the perimeter is decreasing when the radius of the circle is 10 cm Jong is
For every value of x, the function f(x) = `1/"a"^x`, a > 0 is ______.
The function f(x) = x3 - 3x is ______.
The function f(x) = sin x + 2x is ______
In which interval is the given function, f(x) = 2x3 - 21x2 + 72x + 19 monotonically decreasing?
Let the f : R → R be defined by f (x) = 2x + cosx, then f : ______.
The function f(x) = mx + c where m, c are constants, is a strict decreasing function for all `"x" in "R"` , if ____________.
Find the interval in which the function `f` is given by `f(x) = 2x^2 - 3x` is strictly decreasing.
The intevral in which the function f(x) = 5 + 36x – 3x2 increases will be ______.
The function f(x) = xex(1 − x), x ∈ R, is ______.
