[Step-by-Step] Assume that an individual has a utility function U=X Y. (The variable U is a hypothetical measure of the individual's level of satisfaction.


Question: Assume that an individual has a utility function \(U=X Y\). (The variable \(U\) is a hypothetical measure of the individual's level of satisfaction. A combination of \(X\) and \(Y\) that produces \(U=60\) connotes more satisfaction for the individual than a combination of \(X\) and \(Y\) that produces \(U=50\), for example.) Assume that the good \(X\) is pounds of Oreos and the good \(Y\) is quarts of milk.

Let his income be \(\mathrm{I}=\\) 20$ and the prices of the two goods be \({{\text{P}}_{\text{y}}}=1,\,\,{{\text{P}}_{\text{x}}}=2\). That is, the price of Oreos is $2.00 per package, and the price of milk is $1.00 a quart.

  1. Graph the indifference curves for \(U=40, U=50, U=60\), and \(U=100\). Use most of a graph paper page for your indifference map. Have at least ten plot points for each indifference curve. Constrain the values of \(X\) and \(Y\) such that \(0
  2. Find the combination of \(X\) and \(Y\) that will maximize consumer satisfaction (graphic procedure, so your graph must be accurate). What are the values of \(X\) and \(Y\) ? What is the value of \(U\) ? What is the slope of the budget line at your solution? What is the value for \(M R S_{x y}\) at your solution?
    C. Still using the same graph, show graphically the new solution if the price of \(X\) changes so that \(P_{x}=1\). The individual's indifference map, income, and \(P_{y}\) stayed the same. What are the new values of \(X\) and \(Y\) ? What is the new value of U? What is the new slope of the budget line at your solution? What is the value for MRS \(_{x y}\) at your new solution?
    Price: $2.99
    Solution: The downloadable solution consists of 4 pages
    Deliverable: Word Document

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