Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
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
Given the marginal revenue function `4/(2x + 3)^2 - 1` show that the average revenue function is P = `4/(6x + 9) - 1`
Find the revenue function and the demand function if the marginal revenue for x units is MR = 10 + 3x – x2
If the supply function for a product is p = 3x + 5x2. Find the producer’s surplus when x = 4
Choose the correct alternative:
If the marginal revenue function of a firm is MR = `"e"^((-x)/10)`, then revenue is
Choose the correct alternative:
The demand function for the marginal function MR = 100 – 9x2 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
Choose the correct alternative:
If MR and MC denote the marginal revenue and marginal cost and MR – MC = 36x – 3x2 – 81, then the maximum profit at x is equal to
Choose the correct alternative:
If the marginal revenue of a firm is constant, then the demand function is
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
