मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Find Mpc ( Marginal Propensity to Consume ) and Apc ( Average Propensity to Consume ) If the Expenditure Ec of a Person with Income I is Given As Ec = ( 0.0003 ) I2 + ( 0.075 ) I When I = 1000. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Find MPC ( Marginal propensity to Consume ) and APC ( Average Propensity to Consume ) if the expenditure Ec of a person with income I is given as Ec = ( 0.0003 ) I2 + ( 0.075 ) I when I = 1000.

बेरीज

उत्तर

Ec = ( 0.0003 ) I2 + ( 0.075 ) I

MPC = `(dE_c)/(dI)`

∴ MPC = 2 ( 0.0003 )I + 0.075
When I = 1000

∴ MPC = 2( 0.0003 ) 1000 + 0.075
∴ MPC = 0.675
∴ APC = `E_c/I`
∴ APC = 0.0003I + 0.075

When I = 1000
∴ APC = 0.0003( 1000 ) + 0.075
∴ APC = 0.375.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2015-2016 (March)

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

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.


Find the intervals in which the following functions are strictly increasing or decreasing:

 (x + 1)3 (x − 3)3


Find the intervals in which the function f given by `f(x) = (4sin x - 2x - x cos x)/(2 + cos x)` is (i) increasing (ii) decreasing.


Find the interval in which the following function are increasing or decreasing  f(x) = 5x3 − 15x2 − 120x + 3 ?


Find the interval in which the following function are increasing or decreasing f(x) = 6 + 12x + 3x2 − 2x3 ?


Find the interval in which the following function are increasing or decreasing \[f\left( x \right) = \frac{x^4}{4} + \frac{2}{3} x^3 - \frac{5}{2} x^2 - 6x + 7\] ?


Find the interval in which the following function are increasing or decreasing  f(x) = x4 − 4x3 + 4x2 + 15 ?


Find the interval in which the following function are increasing or decreasing \[f\left( x \right) = \left\{ x(x - 2) \right\}^2\] ?


Find the interval in which the following function are increasing or decreasing \[f\left( x \right) = 3 x^4 - 4 x^3 - 12 x^2 + 5\] ?


Determine the values of x for which the function f(x) = x2 − 6x + 9 is increasing or decreasing. Also, find the coordinates of the point on the curve y = x2 − 6x + 9 where the normal is parallel to the line y = x + 5 ? 


Show that f(x) = loga x, 0 < a < 1 is a decreasing function for all x > 0 ?


Show that f(x) = tan x is an increasing function on (−π/2, π/2) ?


Prove that the following function is increasing on R f \[f\left( x \right) = 4 x^3 - 18 x^2 + 27x - 27\] ?


Find the interval in which f(x) is increasing or decreasing f(x) = x|x|, x \[\in\] R ?


Write the set of values of a for which f(x) = cos x + a2 x + b is strictly increasing on R ?


The function f(x) = 2 log (x − 2) − x2 + 4x + 1 increases on the interval


The function f(x) = x2 e−x is monotonic increasing when


Function f(x) = cos x − 2 λ x is monotonic decreasing when


Let ϕ(x) = f(x) + f(2a − x) and f"(x) > 0 for all x ∈ [0, a]. Then, ϕ (x)


Show that f(x) = cos x is a decreasing function on (0, π), increasing in (−π, 0) and neither increasing nor decreasing in (−π, π).


The total cost of manufacturing x articles is C = 47x + 300x2 − x4.  Find x, for which average cost is increasing.


Solve the following:

Find the intervals on which the function f(x) = `x/logx` is increasing and decreasing.


Test whether the following function is increasing or decreasing.

f(x) = `7/"x" - 3`, x ∈ R, x ≠ 0


Find the value of x, such that f(x) is increasing function.

f(x) = 2x3 - 15x2 - 144x - 7 


Find the value of x such that f(x) is decreasing function.

f(x) = x4 − 2x3 + 1


Let f(x) = x3 − 6x2 + 9𝑥 + 18, then f(x) is strictly decreasing in ______


Test whether the function f(x) = x3 + 6x2 + 12x − 5 is increasing or decreasing for all x ∈ R


Choose the correct alternative:

The function f(x) = x3 – 3x2 + 3x – 100, x ∈ R is


f(x) = `{{:(0","                 x = 0 ), (x - 3","   x > 0):}` The function f(x) is ______


The sides of a square are increasing at the rate of 0.2 cm/sec. When the side is 25cm long, its area is increasing at the rate of ______


The interval on which the function f(x) = 2x3 + 9x2 + 12x – 1 is decreasing is ______.


The interval in which the function f is given by f(x) = x2 e-x is strictly increasing, is: ____________.


The function which is neither decreasing nor increasing in `(pi/2,(3pi)/2)` is ____________.


Find the interval in which the function `f` is given by `f(x) = 2x^2 - 3x` is strictly decreasing.


Find the value of x for which the function f(x)= 2x3 – 9x2 + 12x + 2 is decreasing.

Given f(x) = 2x3 – 9x2 + 12x + 2

∴ f'(x) = `squarex^2 - square + square`

∴ f'(x) = `6(x - 1)(square)`

Now f'(x) < 0

∴ 6(x – 1)(x – 2) < 0

Since ab < 0 ⇔a < 0 and b < 0 or a > 0 and b < 0

Case 1: (x – 1) < 0 and (x – 2) < 0

∴ x < `square` and x > `square`

Which is contradiction

Case 2: x – 1 and x – 2 < 0

∴ x > `square` and x < `square`

1 < `square` < 2

f(x) is decreasing if and only if x ∈ `square`


The function f(x) = `(4x^3 - 3x^2)/6 - 2sinx + (2x - 1)cosx` ______.


Let f: [0, 2]→R be a twice differentiable function such that f"(x) > 0, for all x ∈( 0, 2). If `phi` (x) = f(x) + f(2 – x), then `phi` is ______.


The function f(x) = tan–1(sin x + cos x) is an increasing function in ______.


The intevral in which the function f(x) = 5 + 36x – 3x2 increases will be ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×