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a) With a utility function of U(S,A)= S^0.4*A^0.6, derive a set of data points for U=1 and then plot a graph to show this indifference curve. Hint: use maximum values of 9 apples (A) and 27 sandwiches (S).
b) When U=1, and using a maximum value of 27 sandwiches (S) and 9 apples (A), calculate the marginal utility of S and A
solve each system and then tell whether its one solution infinitely many solutions or no solution.1 yx-1 . y-3x-52
Let B = . Find each of the following. You may use a calculator to replace hand calculation for row reduction and finding the characteristic polynomial. Show your work; don't just write down the answers.
Write down the equation
Logarithmic function problem.
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
Solve the following exponential equation
Solve the equations by using addition or substitution method.
Calculate the maximum or minimum value.
Let v and w be vectors-Show a geometric explanation of this answer.
The vectors that represent the production at the various plants are not linearly independent. Show this and find a dependency equation.
interpreting graphs we often use graphs of recent data to project the changes in future data. the following is the
the list gives the approximate population density for each state. choose intervals and make a frequency table. then
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