Advertisements
Advertisements
प्रश्न
If the marginal revenue function for a commodity is MR = 9 – 4x2. Find the demand function.
Advertisements
उत्तर
Marginal Revenue function MR = 9 – 4x2
Revenue function R = `int "MR" "d"x`
R = `int (9 - 4x^2) "d"x`
R = `9x - 4(x^3/3) + "k"`
When x = 0
R = 0
⇒ k = 0
∴ R = `9x - (4x^3)/3`
⇒ px = `9x - (4x^3)/3` .......`("p" = (4x^2)/x)`
p = `((9x - (4x^3)/3))/x`
= `9 - (4x^3)/3`
∴Demand function = `9 - (4x^2)/3`
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
The marginal cost function is MC = `300 x^(2/5)` and fixed cost is zero. Find out the total cost and average cost functions
Given the marginal revenue function `4/(2x + 3)^2 - 1` show that the average revenue function is P = `4/(6x + 9) - 1`
If MR = 20 – 5x + 3x2, Find total revenue function
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
Choose the correct alternative:
If MR and MC denotes the marginal revenue and marginal cost functions, then the profit functions 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
