Advertisements
Advertisements
Question
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
Advertisements
Solution
MC = `125 + 10x - x^2/9`
Fixed cost k = ₹ 250
C = `int "MC" "d"x - int (125 + 10x - x^2/9) "d"x`
C = `125x + (10x^2)/9 - x^3/(9 xx 3) + "k"`
C = `125x + 5x^2 - x^3/27 + 250`
When x = 15
C = `125(15) + 5(15)^2 - (15)^3/27 + 250`
= 1875 + 1125 – 125 + 250
C = ₹ 3,125
APPEARS IN
RELATED QUESTIONS
The cost of an overhaul of an engine is ₹ 10,000 The operating cost per hour is at the rate of 2x – 240 where the engine has run x km. Find out the total cost if the engine runs for 300 hours after overhaul
Calculate consumer’s surplus if the demand function p = 50 – 2x and x = 20
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
Choose the correct alternative:
When x0 = 5 and p0 = 3 the consumer’s surplus for the demand function pd = 28 – x2 is
Choose the correct alternative:
When x0 = 2 and P0 = 12 the producer’s surplus for the supply function Ps = 2x2 + 4 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:
The demand and supply function of a commodity are P(x) = (x – 5)2 and S(x) = x2 + x + 3 then the equilibrium quantity x0 is
Choose the correct alternative:
The demand and supply function of a commodity are D(x) = 25 – 2x and S(x) = `(10 + x)/4` then the equilibrium price p0 is
The marginal cost of production of a firm is given by C'(x) = `20 + x/20` the marginal revenue is given by R’(x) = 30 and the fixed cost is ₹ 100. Find the profit 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.
