Advertisements
Advertisements
प्रश्न
If the marginal cost (MC) of production of the company is directly proportional to the number of units (x) produced, then find the total cost function, when the fixed cost is ₹ 5,000 and the cost of producing 50 units is ₹ 5,625
Advertisements
उत्तर
M.C αx
M.C = λx
fixed cost k = ₹ 5000
Cost function C = `int ("M.C") "d"x`
= `int lambdax "d"x`
C = `(lambdax^2)/2 + "k"`
⇒ C = `lambda (x^2/2) + 5000` ........(1)
When x = 50 then C = 5625
5625 = `(lambda(50)^2)/2 + 5000`
5625 – 5000 = `(lambda(2500))/2 = 1250 lambda`
`1250 lambda = 625`
⇒ `lambda = 625/1250 = 1/2`
∴ Required total cost function from equation (1)
C = `1/2(x^2/2) + 5000`
∴ C = `x^2/4 + 5000`
APPEARS IN
संबंधित प्रश्न
The elasticity of demand with respect to price for a commodity is given by `((4 - x))/x`, where p is the price when demand is x. Find the demand function when the price is 4 and the demand is 2. Also, find the revenue function
A firm’s marginal revenue function is MR = `20"e"^((-x)/10) (1 - x/10)`. Find the corresponding demand function
If the marginal revenue function is R'(x) = 1500 – 4x – 3x2. Find the revenue function and average revenue function
The demand and supply functions under perfect competition are pd = 1600 – x2 and ps = 2x2 + 400 respectively. Find the producer’s surplus
Choose the correct alternative:
The given demand and supply function are given by D(x) = 20 – 5x and S(x) = 4x + 8 if they are under perfect competition then the equilibrium demand is
Choose the correct alternative:
The marginal cost function is MC = `100sqrt(x)`. find AC given that TC = 0 when the output is zero is
Choose the correct alternative:
If the marginal revenue of a firm is constant, then the demand function is
A manufacture’s marginal revenue function is given by MR = 275 – x – 0.3x2. Find the increase in the manufactures total revenue if the production is increased from 10 to 20 units
For the marginal revenue function MR = 6 – 3x2 – x3, Find the revenue function and demand function
The price elasticity of demand for a commodity is `"p"/x^3`. Find the demand function if the quantity of demand is 3 when the price is ₹ 2.
