Advertisements
Advertisements
प्रश्न
Determine the cost of producing 200 air conditioners if the marginal cost (is per unit) is C'(x) = `x^2/200 + 4`
Advertisements
उत्तर
Marginal cost C'(x) = `x^2/200 + 4`
Cost functon C = `int "C'" (x) "d"x`
C = `int (x^2/200 + 4) "d"x`
C = `int 1/200 (x^3/3 + 4x) + "k"`
C = `[x^3/600 + 4x] + "k"`
Where x = 0
C = 0
⇒ k = 0
∴ C = `[x^3/600 + 4x]` ........(1)
When x = 200
Equation (1)
⇒ C = `[(200)^3/600 + 4(200)]`
= `[8000000/600 + 800]`
= 13333.33 + 800
∴ Cost of producing 200 air conditioners
= ₹ 14133.33
APPEARS IN
संबंधित प्रश्न
An account fetches interest at the rate of 5% per annum compounded continuously. An individual deposits ₹ 1,000 each year in his account. How much will be in the account after 5 years. (e0.25 = 1.284)
The marginal cost function of a product is given by `"dc"/("d"x)` = 100 – 10x + 0.1x2 where x is the output. Obtain the total and the average cost function of the firm under the assumption, that its fixed cost is ₹ 500
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
Calculate consumer’s surplus if the demand function p = 122 – 5x – 2x2, and x = 6
The demand function p = 85 – 5x and supply function p = 3x – 35. Calculate the equilibrium price and quantity demanded. Also, calculate consumer’s surplus
Choose the correct alternative:
If the marginal revenue MR = 35 + 7x – 3x2, then the average revenue AR is
Choose the correct alternative:
For the demand function p(x), the elasticity of demand with respect to price is unity then
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:
For a demand function p, if `int "dp"/"p" = "k" int ("d"x)/x` then k is equal to
The demand equation for a product is Pd = 20 – 5x and the supply equation is Ps = 4x + 8. Determine the consumers surplus and producer’s surplus under market equilibrium
