11th Business Maths Weekly Test - 4 ( Applications of Differentiation )

MABS Institution

11th Business Maths Weekly Test - 4 ( Applications of Differentiation )-Aug 2020

Time : 1.30 Hours

Part - A

Generic 3 - Answer All Question

Find the stationary points and stationary values of the function f(x) = x³ - 3x² - 9x + 5.

Find the interval in which the function f(x)=x2–4x+6 is strictly increasing and strictly decreasing.

If \(y={2x+1\over 3x+2}\) then, obtain the value of elasticity at x = 1.

The production function for a commodity is P = 10L + 0.1 L² +15K-0.2K² +2KL where L is labour and K is Capital.
(i) Calculate the marginal products of two inputs when 10 units of each of labour and Capital are used
(ii) If 10 units of capital are used, what is the upper limit for use of labour which a rational producer will never exceed?

Find the intervals in which the function f given by f(x)=4x³–6x²–72x+30 is increasing or decreasing.

Find the maximum and minimum values of the function x² + 16/x

Find the equilibrium price and equilibrium quantity for the following demand and supply functions
Demand: \(x-{1\over 2}(5-p)\) and Supply : x = 2p–3

If the demand law is given by p = 10e^{\(-\frac { x }{ 2 } \)} then find the elasticity of demand.

For a particular process, the cost function is given by C = 56 - 8x+x² where C is cost per unit and x, the number of unit’s produced. Find the minimum value of the cost and the corresponding number of units to be produced.

The total cost of x units of output of a firm is given by c = \(\frac { 2 }{ 3 } x+\frac { 35 }{ 2 } \) find the
(i) cost when output is 4 units
(ii) average cost when output is 10 units
(iii) marginal cost when output is 3 units

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11th Business Maths Weekly Test - 4 ( Applications of Differentiation )

MABS Institution

11th Business Maths Weekly Test - 4 ( Applications of Differentiation )-Aug 2020

Part - A

Generic 3 - Answer All Question

Find the stationary points and stationary values of the function f(x) = x3 - 3x2 - 9x + 5.

Find the interval in which the function f(x)=x2–4x+6 is strictly increasing and strictly decreasing.

If \(y={2x+1\over 3x+2}\) then, obtain the value of elasticity at x = 1.

Find the intervals in which the function f given by f(x)=4x3–6x2–72x+30 is increasing or decreasing.

Find the maximum and minimum values of the function x2 + 16/x

Find the equilibrium price and equilibrium quantity for the following demand and supply functions Demand: \(x-{1\over 2}(5-p)\) and Supply : x = 2p–3

If the demand law is given by p = 10e\(-\frac { x }{ 2 } \) then find the elasticity of demand.

For a particular process, the cost function is given by C = 56 - 8x+x2 where C is cost per unit and x, the number of unit’s produced. Find the minimum value of the cost and the corresponding number of units to be produced.

The total cost of x units of output of a firm is given by c = \(\frac { 2 }{ 3 } x+\frac { 35 }{ 2 } \) find the (i) cost when output is 4 units (ii) average cost when output is 10 units (iii) marginal cost when output is 3 units

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Tamilnadu Stateboardszs - Class

Find the stationary points and stationary values of the function f(x) = x³ - 3x² - 9x + 5.

Find the intervals in which the function f given by f(x)=4x³–6x²–72x+30 is increasing or decreasing.

Find the maximum and minimum values of the function x² + 16/x

Find the equilibrium price and equilibrium quantity for the following demand and supply functions
Demand: \(x-{1\over 2}(5-p)\) and Supply : x = 2p–3

If the demand law is given by p = 10e^{\(-\frac { x }{ 2 } \)} then find the elasticity of demand.

For a particular process, the cost function is given by C = 56 - 8x+x² where C is cost per unit and x, the number of unit’s produced. Find the minimum value of the cost and the corresponding number of units to be produced.

The total cost of x units of output of a firm is given by c = \(\frac { 2 }{ 3 } x+\frac { 35 }{ 2 } \) find the
(i) cost when output is 4 units
(ii) average cost when output is 10 units
(iii) marginal cost when output is 3 units