Total derivative of the function \[ y = f(g(w),w) \] is:

• A) \[ \frac{{dy}} {{dw}} = f_x .\frac{{dx}} {{dw}} + dx \]
• B) \[ \frac{{dy}} {{dw}} = f_x .\frac{{dx}} {{dw}} + f_w .\frac{{dw}} {{dw}} \]
• C) \[ \frac{{dy}} {{dw}} = dx + f_w .\frac{{dw}} {{dw}} \]
• D) \[ \frac{{dy}} {{dw}} = \frac{{dx}} {{dw}} + \frac{{dw}} {{dw}} \]

Which of the following is true for the function; Q = f(K(t),L(t)) ?

• A) Capital and labor remain at their initial conditions
• B) Capital and labor can improve over time
• C) Capital and labor do not depend on time
• D) Capital and labor remain unhanged

\frac{{\partial F(Q,K,\overline L )}} {{\partial K}} shows:

• A) Marginal product of labor
• B) Output elasticity of labor
• C) Marginal product of capital
• D) Output elasticity of capital

Which of the following shows the differential of y = f(x) = 3x + 2 ?

• A) dy = (3 + x).dx
• B) dy = (2 + 3).dx
• C) dx = (\frac{1} {3}).dy
• D) dy = (3).dx

Which of the following shows the differential of y = f(x)?

• A) dy.dx = f(x)
• B) dx = f(x).dy
• C) dy = f(x).dx
• D) dy.f(x) = dx

Given the Cobb-Douglas production function;\[ Q = AK^\alpha L^\beta \] Q represents:

• A) Capital
• B) Constant
• C) Labor
• D) Output

Given the Cobb-Douglas production function;Q = AK^\alpha L^\beta K represents:

• A) Labor
• B) Output
• C) Capital
• D) Constant

Which of the following is true for the function; \[ Q = f(K(t),L(t)) \] ?

• A) Capital and labor can improve over time
• B) Capital and labor remain unhanged
• C) Capital and labor do not depend on time
• D) Capital and labor remain at their initial conditions

\[ \left( {\frac{{\partial y}} {{\partial x}}} \right) \] is used to denote:

• A) Matrix
• B) Simple derivative
• C) Partial derivative
• D) Limit

\[ \frac{{\partial F(Q,K,\overline L )}} {{\partial K}} \] shows:

• A) Output elasticity of capital
• B) Marginal product of capital
• C) Marginal product of labor
• D) Output elasticity of labor

Given the saving function \[ S = 0.20Y + 3i \]; \[ S_i = \frac{{\partial S}} {{\partial i}} \] is:

• A) 0.20
• B) 3
• C) 3/0.20
• D) 3.20

Which of the following shows the direct effect of the function \[ y = f(g(w),w) \] ?

• A) \[ y = f(g(w)) \]
• B) \[ y = f(x,w) \]
• C) \[ y = f(w) \]
• D) \[ x = g(w) \]

Which of the following shows the differential of \[ y = f(x) = Ax^\alpha + \beta \] ?

• A) \[ dy = \beta Ax^{\beta - 1} .dx \]
• B) \[ dy = \alpha Ax^{\alpha - 1} .dx \]
• C) \[ dx = \alpha Ax^{\alpha - 1} .dy \]
• D) \[ dy = (\alpha + \beta )Ax^{\alpha - 1} .dx \]

Given the Cobb-Douglas production function; \[ Q = AK^\alpha L^\beta \] L represents:

• A) Capital
• B) Output
• C) Labor
• D) Constant

2x + 3y = 20 is an example of:

• A) Cubic function
• B) Quadratic function
• C) Implicit function
• D) Production function

Which of the following shows the indirect effect of the function y = f(g(w),w) ?

• A) y = f(x,w)
• B) y = f(g(w))
• C) y = f(w)
• D) x = g(w)

High powered money supply is equal to:

• A) Cash holdings + Bank reserves
• B) Bank reserves – Reserve ratio
• C) Cash holdings – Bank deposits
• D) Cash holdings + Interest rate

Which of the following shows the direct effect of the function y = f(g(w),w) ?

• A) x = g(w)
• B) y = f(g(w))
• C) y = f(w)
• D) y = f(x,w)

Given the Cobb-Douglas production function;Q = AK^\alpha L^\beta A represents:

• A) Output
• B) Capital
• C) Constant
• D) Labor

\frac{{\partial F(Q,\overline K ,L)}} {{\partial L}} shows:

• A) Marginal product of capital
• B) Marginal product of labor
• C) Output elasticity of labor
• D) Output elasticity of capital