Advertisements
Advertisements
प्रश्न
The marginal cost function is MC = `300 x^(2/5)` and fixed cost is zero. Find out the total cost and average cost functions
उत्तर
MC = `300 x^(2/5)` and fixed cost k = 0
Total cost t = `int"MC" "d"x`
C = `int300 x^(2/5) "d"x`
= `300 (x^(2/5 + 1))/((2/5 + 1)) + "k"`
C = `300[x^(7/5)/((7/5))] + 0`
∴ C = `1500/7 x^(7/5)`
Average cost A.C = `"C"/x = (1500/7 x^(7/5))/x`
A.C = `1500/7 x^(7/5 - 1)`
∴ A.C = `1500/7 x^(2/5)`
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`
A company receives a shipment of 500 scooters every 30 days. From experience, it is known that the inventory on hand is related to the number of days x. Since the shipment, I(x) = 500 – 0.03x2, the daily holding cost per scooter is ₹ 0.3. Determine the total cost for maintaining inventory for 30 days
Calculate consumer’s surplus if the demand function p = 50 – 2x and x = 20
The demand and supply functions under perfect competition are pd = 1600 – x2 and ps = 2x2 + 400 respectively. Find the producer’s surplus
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:
If the marginal revenue MR = 35 + 7x – 3x2, then the average revenue AR is
Choose the correct alternative:
The producer’s surplus when the supply function for a commodity is P = 3 + x and x0 = 3 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
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.
