Advertisements
Advertisements
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
Advertisements
उत्तर
False
APPEARS IN
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 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 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 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.
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.
If the marginal revenue is 28 and elasticity of demand is 3, then the price is ______.
If the elasticity of demand η = 1, then demand is ______.
If 0 < η < 1, then the demand is ______.
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`
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 ______.
In a factory, for production of Q articles, standing charges are ₹500, labour charges are ₹700 and processing charges are 50Q. The price of an article is 1700 - 3Q. Complete the following activity to find the values of Q for which the profit is increasing.
Solution: Let C be the cost of production of Q articles.
Then C = standing charges + labour charges + processing charges
∴ C = `square`
Revenue R = P·Q = (1700 - 3Q)Q = 1700Q- 3Q2
Profit `pi = R - C = square`
Differentiating w.r.t. Q, we get
`(dpi)/(dQ) = square`
If profit is increasing , then `(dpi)/(dQ) >0`
∴ `Q < square`
Hence, profit is increasing for `Q < square`
