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4. If the quantity of good X is measured on the horizontal axis and  5. If the quantity of good X is again measured on the
               the quantity of good Y is measured on the vertical axis, the  horizontal axis and the quantity of good Y is measured
               marginal rate of substitution is equal to            on the vertical axis, which of the following is true? The
                                                                    optimal consumption bundle is found where
                  ΔQ X                                                                                                 Section 14 Appendix
               a.    .
                  ΔQ Y                                                 MU X  =  P X
                                                                    a.        .
                                                                       MU Y  P Y
               b.  MU X  .
                  MU Y                                              b. the slope of the indifference curve equals the slope of
                                                                       the budget line.
               c.  P X  .
                  P Y                                               c. the indifference curve is tangent to the budget line.
               d. the ratio of the slope of the budget line and the slope of the  d.  MU X  =  MU Y .
                                                                        P X  P Y
                  indifference curve.
                                                                    e. all of the above are true.
               e. 1 at the optimal level of consumption.
             Tackle the Test: Free-Response Questions

             1. Each of the combinations of iPod song downloads and DVD
                                                                  1 point: Axes labeled “Quantity of songs” and “Quantity of DVDs”
               rentals shown in the table below give Kathleen an equal level of
               utility.                                           1 point: Correctly plotted indifference curve points
               Quantity of songs  Quantity of DVDs
                                                                  1 point: Negative slope
                     0              8
                     1              6                             1 point: Convex shape
                     2              4                             1 point: Negative slope—yes
                     3              2
                     4              0                             1 point: As more DVDs are rented, there must be fewer song downloads to give
                                                                  Kathleen the same level of utility as before. This trade-off of more of one good
               a. Graph Kathleen’s indifference curve.
                                                                  for less of another gives the indifference curve a negative slope.
               b. Economists believe that the individual indifference curves
                  for ordinary goods exhibit what two properties?  1 point: Convex shape—no
               c. Does Kathleen’s indifference curve exhibit the two
                                                                  1 point: The indifference curve is a straight line with a constant slope, rather than
                  properties from part b? Explain.                being a convex line with a slope that decreases in absolute value from left to right.

             Answer (8  points)                                   2. Kathleen has $20 to spend on iPod song downloads and DVD
                                                                    rentals each week. The price of an iPod song download is $2
             Quantity                                               and the price of a DVD rental is $5.
             of songs                                               a. Graph Kathleen’s budget line.
                   4                                                b. Suppose all of Kathleen’s indifference curves have the same
                                                                       shape and slope as the one in Question 1. How many song
                   3                                                   downloads and DVD rentals will Kathleen purchase to
                                                                       maximize her utility? Explain.
                   2


                   1


                   0   1  2  3  4  5   6  7  8
                                     Quantity of DVDs
















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