Advertisements
Advertisements
प्रश्न
Find the values of x, when the marginal function of y = x3 + 10x2 – 48x + 8 is twice the x.
उत्तर
y = x3 + 10x2 – 48x + 8
Marginal function, `"dy"/"dx"` = 3x2 + 10(2x) – 48
= 3x2 + 20x – 48
Given that, the marginal function is twice the x.
Therefore, 3x2 + 20x – 48 = 2x
3x2 + 18x – 48 = 0
Divide throughout by 3, x2 + 6x – 16 = 0
(x + 8) (x – 2) = 0
x = -8 (or) x = 2
The values of x are -8, 2.
APPEARS IN
संबंधित प्रश्न
A firm produces x tonnes of output at a total cost of C(x) = `1/10x^3 - 4x^2 - 20x + 7` find the
- average cost
- average variable cost
- average fixed cost
- marginal cost and
- marginal average cost.
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
Revenue function ‘R’ and cost function ‘C’ are R = 14x – x2 and C = x(x2 – 2). Find the
- average cost
- marginal cost
- average revenue and
- marginal revenue.
Find the elasticity of supply for the supply function x = 2p2 + 5 when p = 3.
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?
The supply function of certain goods is given by x = a`sqrt("p" - "b")` where p is unit price, a and b are constants with p > b. Find elasticity of supply at p = 2b.
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.
For the cost function C = `1/25 e^(5x)`, the marginal cost is:
If the average revenue of a certain firm is ₹ 50 and its elasticity of demand is 2, then their marginal revenue is:
