Advertisements
Advertisements
प्रश्न
The total cost function for the production of x units of an item is given by C = 10 - 4x3 + 3x4 find the
- average cost function
- marginal cost function
- marginal average cost function.
Advertisements
उत्तर
Given C = 10 - 4x3 + 3x4
i) Average cost (AC)
`= "C"/x = (10 - 4x^3 + 3x^4)/x`
`= 10/x - 4x^2 + 3x^3`
ii) Marginal Cost (MC) = `"dC"/"dx"`
`= "d"/"dx" (10 - 4x^3 + 3x^4)`
`= -12x^2 + 12x^3`
iii) Marginal Average Cost (MAC)
`= "d"/"dx" ("AC")`
`= "d"/"dx" (10/x - 4x^2 + 3x^3)`
`= - 10/x^2 - 8x + 9x^2`
APPEARS IN
संबंधित प्रश्न
The total cost of x units of output of a firm is given by C = `2/3x + 35/2`. Find the
- cost when output is 4 units
- average cost when output is 10 units
- marginal cost when output is 3 units
If the demand law is given by p = `10e^(- x/2)` then find the elasticity of demand.
Find the elasticity of demand in terms of x for the following demand laws and also find the value of x where elasticity is equal to unity.
p = a – bx2
The demand curve of a commodity is given by p = `(50 - x)/5`, find the marginal revenue for any output x and also find marginal revenue at x = 0 and x = 25?
Find the values of x, when the marginal function of y = x3 + 10x2 – 48x + 8 is twice the x.
For the demand function x = `25/"p"^4`, 1 ≤ p ≤ 5, determine the elasticity of demand.
The total cost function y for x units is given by y = 3x`((x+7)/(x+5)) + 5`. Show that the marginal cost decreases continuously as the output increases.
Marginal revenue of the demand function p = 20 – 3x is:
The elasticity of demand for the demand function x = `1/"p"` is:
Instantaneous rate of change of y = 2x2 + 5x with respect to x at x = 2 is:
