Advertisements
Advertisements
Question
Instantaneous rate of change of y = 2x2 + 5x with respect to x at x = 2 is:
Options
4
5
13
9
Advertisements
Solution
13
APPEARS IN
RELATED QUESTIONS
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 – bx)2
For the demand function p = 550 – 3x – 6x2 where x is quantity demand and p is unit price. Show that MR =
The demand function of a commodity is p = `200 - x/100` and its cost is C = 40x + 120 where p is a unit price in rupees and x is the number of units produced and sold. Determine
- profit function
- average profit at an output of 10 units
- marginal profit at an output of 10 units and
- marginal average profit at an output of 10 units.
Find the equilibrium price and equilibrium quantity for the following functions.
Demand: x = 100 – 2p and supply: x = 3p – 50.
The cost function of a firm is C = x3 – 12x2 + 48x. Find the level of output (x > 0) at which average cost is minimum.
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.
Find out the indicated elasticity for the following function:
p = `10 e^(- x/3)`, x > 0; ηs
Find the elasticity of supply when the supply function is given by x = 2p2 + 5 at p = 1.
Average fixed cost of the cost function C(x) = 2x3 + 5x2 – 14x + 21 is:
If demand and the cost function of a firm are p = 2 – x and C = -2x2 + 2x + 7 then its profit function is:
