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

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

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प्रश्न

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

रिकाम्या जागा भरा

उत्तर

If the average revenue is 45 and elasticity of demand is 5, then marginal revenue is 36.

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Application of Derivatives to Economics
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1.4: Applications of Derivatives - Q.2

संबंधित प्रश्‍न

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


Find the elasticity of demand, if the marginal revenue is 50 and price is Rs 75.


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 function for production of x articles is given as C = 100 + 600x – 3x2 . Find the values of x for which total cost is decreasing.


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 revenue is increasing


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.


For the demand function D = 100 – `"p"^2/2`. Find the elasticity of demand at p = 6 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 revenue 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 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.


If the elasticity of demand η = 1, then demand is ______.


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 profit is increasing

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

Profit π = R – C

∴ π = `square`

Differentiating w.r.t. x,

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

Since Profit is increasing,

`("d"pi)/("d"x)` > 0

∴ Profit is increasing for `square`


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


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


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