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

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

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प्रश्न

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

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

False

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1.4: Applications of Derivatives - Q.3

संबंधित प्रश्‍न

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


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


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


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


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.


Find the price for the demand function D = `((2"p" + 3)/(3"p" - 1))`, when elasticity of demand is `11/14`.


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


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.


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 ______.


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 ______.


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


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