हिंदी

Find the Marginal Revenue If the Average Revenue is 45 and Elasticity of Demand is 5.

Advertisements
Advertisements

प्रश्न

Find the marginal revenue if the average revenue is 45 and elasticity of demand is 5.

योग
Advertisements

उत्तर

Given, average revenue (RA) = 45 and
elasticity of demand (η) = 5

Rm = RA `(1 - 1/η)`

∴ Rm = `45 (1 - 1/5) = 45(4/5)`

∴ Rm = 36

∴ Marginal revenue (Rm) = 36

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Applications of Derivatives - Exercise 4.4 [पृष्ठ ११२]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 4 Applications of Derivatives
Exercise 4.4 | Q 7.1 | पृष्ठ ११२

संबंधित प्रश्न

The demand function of a commodity at price P is given as, D = `40 - "5P"/8`. Check whether it is increasing or decreasing function.


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


Find the price, if the marginal revenue is 28 and elasticity of demand is 3.


If the demand function is D = `((p + 6)/(p − 3))`, find the elasticity of demand at p = 4.


If the demand function is D = 50 – 3p – p2. Find the elasticity of demand at p = 5 comment on the result.


If the demand function is D = 50 – 3p – p2. Find the elasticity of demand at p = 2 comment on the result


For the demand function D = 100 – `p^2/2`. Find the elasticity of demand at p = 10 and comment on the results.


A manufacturing company produces x items at a total cost of ₹ 40 + 2x. Their price is given as p = 120 – x. Find the value of x for which profit is increasing.


A manufacturing company produces x items at a total cost of ₹ 40 + 2x. Their price is given as p = 120 – x. Find the value of x for which also find an elasticity of demand for price 80.


Find MPC, MPS, APC and APS, if the expenditure Ec of a person with income I is given as Ec = (0.0003) I2 + (0.075) I ; When I = 1000.


Fill in the blank:

A road of 108 m length is bent to form a rectangle. If the area of the rectangle is maximum, then its dimensions are _______.


If the marginal revenue is 28 and elasticity of demand is 3, then the price is ______.


If 0 < η < 1, then the demand is ______.


If the average revenue is 45 and elasticity of demand is 5, then marginal revenue is ______.


State whether the following statement is True or False:  

If the marginal revenue is 50 and the price is ₹ 75, then elasticity of demand is 4


The manufacturing company produces x items at the total cost of ₹ 180 + 4x. The demand function for this product is P = (240 − 𝑥). Find x for which profit is increasing


A manufacturing company produces x items at a total cost of ₹ 40 + 2x. Their price per item is given as p = 120 – x. Find the value of x for which revenue is increasing

Solution: Total cost C = 40 + 2x and Price p = 120 – x

Revenue R = `square`

Differentiating w.r.t. x,

∴ `("dR")/("d"x) = square`

Since Revenue is increasing,

∴ `("dR")/("d"x)` > 0

∴ Revenue is increasing for `square`


A manufacturing company produces x items at a total cost of ₹ 40 + 2x. Their price per item is given as p = 120 – x. Find the value of x for which elasticity of demand for price ₹ 80.

Solution: Total cost C = 40 + 2x and Price p = 120 – x

p = 120 – x

∴ x = 120 – p

Differentiating w.r.t. p,

`("d"x)/("dp")` = `square`

∴ Elasticity of demand is given by η = `- "P"/x*("d"x)/("dp")`

∴ η = `square`

When p = 80, then elasticity of demand η = `square`


Complete the following activity to find MPC, MPS, APC and APS, if the expenditure Ec of a person with income I is given as:

Ec = (0.0003)I2 + (0.075)I2

when I = 1000


If elasticity of demand η = 0 then demand is ______.


If f(x) = x3 – 3x2 + 3x – 100, x ∈ R then f"(x) is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×