Advertisements
Advertisements
प्रश्न
The marginal cost function of a commodity is given by MC = `14000/sqrt(7x + 4)` and the fixed cost is ₹ 18,000. Find the total cost and average cost
Advertisements
उत्तर
The marginal cost function of a commodity
Mc = `14000/sqrt(7x + 4)`
= `14000 (7x + 4)^((-1)/2)`
Fixed cost k = ₹ 18,000
Total cost function C = `int ("M.C") "d"x`
= `int 14000 (7x + 4)^((-1)/2) "d"x`
= `14000 [(7x + 4)^((-1)/2 + 1)/(((-1)/2 + 1) xx (7))] + "k"`
= `14000 [(7x + 4)^(1/2)/((7/2))] + 18000`
= `14000 xx 2/7 xx (sqrt(7x + 4)) + 18000`
∴ Total cost C = `4000 [sqrt(7x + 4)] + 18000`
Average cost A.C = `("C"(x))/x`
= `(4000[sqrt(7x + 4)] + 18000)/x`
A.C = `4000/x sqrt(7x + 4) + 18000/x`
APPEARS IN
संबंधित प्रश्न
The marginal cost of production of a firm is given by C'(x) = 5 + 0.13x, the marginal revenue is given by R'(x) = 18 and the fixed cost is ₹ 120. Find the profit function
Find the revenue function and the demand function if the marginal revenue for x units is MR = 10 + 3x – x2
Calculate consumer’s surplus if the demand function p = 50 – 2x and x = 20
The demand function p = 85 – 5x and supply function p = 3x – 35. Calculate the equilibrium price and quantity demanded. Also, calculate consumer’s surplus
Calculate the producer’s surplus at x = 5 for the supply function p = 7 + x
Under perfect competition for a commodity the demand and supply laws are Pd = `8/(x + 1) - 2` and Ps = `(x + 3)/2` respectively. Find the consumer’s and producer’s surplus
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:
The demand function for the marginal function MR = 100 – 9x2 is
Choose the correct alternative:
For a demand function p, if `int "dp"/"p" = "k" int ("d"x)/x` then k is equal to
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
