Top 50+ Solved Mathematical Tools for Economics 1 MCQ Questions Answer
Q. The highest degree of the variables in an equation determines the nature of the equation.
a. lowest degree
b. highest degree
c. value
d. solution
Q. If x and y are two variables such that y = f(x) ,for any value of the x there is acorresponding y value, then x is
a. dependent variable
b. constant
c. independent variable
d. none of the above
Q. Which of the following is incorrect?
a. direct search methods are useful when the optimization function is not differentiable
b. the gradient of f(x,y) is the a vector pointing in the direction of the steepest slope at that point
c. the hessian is the jacobian matrix of second-order partial derivatives of a function.
d. the second derivative of the optimization function is used to determine if we have reached an optimal point.
Q. An initial estimate of an optimal solution is given to be used in conjunction with thesteepest ascent method to determine the maximum of the function. Which of the following statements is correct?
a. the function to be optimized must be differentiable.
b. if the initial estimate is different than the optimal solution, then the magnitude of the gradient is nonzero.
c. as more iterations are performed, the function values of the solutions at the end of each subsequent iteration must be increasing.
d. all 3 statements are correct.