Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
`"dc"/("d"x)` = 100 – 10x + 0.1x2 and k = ₹ 500
dc = (100 – 10x + 0.1 x2) dx
Integrating on both sides,
`int "dc" = int(100 - 10x + 0.1x^2) "d"x`
C = `100x - 10(x^2/2) + 0.1(x^3/3) + "k"`
Total cost C = `100x - 5x^2 + 0.1(x^3/3) + 500`
Average cost A.C = `"C"/x = (100x - 5x^2 + 0.1(x^3/3) + 500)/x`
A.C = `100 - 5x + 0.1(x^2/3) + 500/x`
A.C = `100 - 5x + x^2/30 + 500/x`
APPEARS IN
संबंधित प्रश्न
Elasticity of a function `("E"y)/("E"x)` is given by `("E"y)/("E"x) = (-7x)/((1 - 2x)(2 + 3x))`. Find the function when x = 2, y = `3/8`
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 is MC = `300 x^(2/5)` and fixed cost is zero. Find out the total cost and average cost functions
If the marginal cost function of x units of output is `"a"/sqrt("a"x + "b")` and if the cost of output is zero. Find the total cost as a function of x
If MR = 20 – 5x + 3x2, Find total revenue function
If MR = 14 – 6x + 9x2, Find the demand function
The demand equation for a products is x = `sqrt(100 - "p")` and the supply equation is x = `"P"/2 - 10`. Determine the consumer’s surplus and producer’s surplus, under market equilibrium
Choose the correct alternative:
For the demand function p(x), the elasticity of demand with respect to price is unity then
A company has determined that marginal cost function for x product of a particular commodity is given by MC = `125 + 10x - x^2/9`. Where C is the cost of producing x units of the commodity. If the fixed cost is ₹ 250 what is the cost of producing 15 units
For the marginal revenue function MR = 6 – 3x2 – x3, Find the revenue function and demand function
