True/False Explain the function is homogenous of degree.Chapter 12

True/False Explain the function is homogenous of degree.Chapter 12
2. Given the two functions determine whether they are dependent on each other using the Jacobian Determinant.
3. Given the function and the constraint
a. Form the Lagrangian z(x, y).
b. Show the first order conditions.
c. Find Solution(s)
d. Derive second order conditions and Bordered Hessian
e. State the conditions for MIN or Max for this particular problem.
f. Evaluated for Min/Max.
4. Consider the maximization problem: Max which depends of the parameter. What effect will a unit increase of a have no the maximal value of
5. True/False Explain: Demand Curves are homogeneous of degree zero in prices and income.Chapter 12
6. A farmers land is bordered on one side by a straight river. Find the dimensions of the largest plot that can be enclosed on three sides by a fence of total length the forth being the river. Also verify your answer is a maximum.
7. Let be the production function. Suppose both grow at constant but different rates: by the chain rule.Chapter 8
8. Minimize cost subject to an output level, and are factor prices of Labor and capital using the appropriate comparative statics and Cramer's rule, determine the effect of the level of capital used with an exogenous change in output. Also explain your findings.
(I am not sure about the chapter but you can find Cramer's rule at the end of chapter 5, but you have to see chapters from 8-12 to solve it because it is an application on those chapters topics.
9. Take the utility function U = 2XY with the usual budget constraint
a. Verify that indifference curves are negatively sloped.
b. Verify indifference curves are convex.
10. Using the differentiable function method for proving convex/concavity show whether is convex/concave or strictly so or neither.
11. Find the characteristic roots and vectors of the matrix .Chapter 4
12. The orthogonality condition is the basis for least squares where is a data matrix and is a error. The linear model that generates these errors is vector containing the endogenous variable, and B is a vector of parameters. Using the orthogonality condition derive the Least squares estimates of.
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