Instructions for Creating Figure 4.2
	A precise graph of the Hicksian decomposition shown in tabular form in Figure 4.1 of the paper is shown below in Figure 4.2.
Figure 4.2:  Substitution and income effects (Hicks method)

Complex charts like the one shown in Figure 4.2 must be built from the worksheet data curve by curve.  Figure 4.3 shows the worksheet data underlying Figure 4.2.  The data were created using the information given in the original statement of the problem along with the results from the analysis presented in Figure 4.1.
Figure 4.3:  Worksheet data underlying the substitution/income effect graph

For example, the original budget line intercepts of (0, 300) and (150, 0) follow from the income and price information given in the original statement of the problem.  These intercepts were entered into the Figure 4.3 worksheet and then plotted using the Insert/Chart command and the XY (scatter) chart option of the Chart Wizard shown in Figure 4.3A.  
Figure 4.3A:  Creating a scatter plot using the Insert/Chart command

Choose the Chart sub-type option that creates a smoothed line without also creating markers for the individual data points (the right-hand option in the second row of the Chart sub-type matrix).  Keep in mind, however, that the format of the data points and any connecting lines can be changed after the graph is produced.
	After moving to the second step of the Chart Wizard, select the “Series in:  Columns” option as shown in Figure 4.3B.  The remaining two steps of the Chart Wizard are straightforward and can be completed as the reader sees fit.
Figure 4.3B:  Window associated with step 2 of the Chart Wizard

To add the new budget line to the chart, the coordinates of the new budget line intercepts are entered into the worksheet and then copied.  The line formed by these coordinates is then added to the chart by clicking on the tab for the sheet that contains the chart and then selecting the Edit/Paste Special command as shown in Figure 4.3C.  
Figure 4.3C:  Edit/Paste Special window for adding a new curve to an existing graph

Be sure to add the cells as a new data series and select the “Categories (X Values) in First Column” option as shown in Figure 4.3C.
	To plot the original indifference curve, a column of x coordinates starting at 40 and increasing to 160 in increments of 10 is generated using the Edit/Fill/Series command as shown in Figure 4.3D.  The starting value in the series must be entered on the data sheet manually, but the other elements of the series can be created in Excel.  Be sure to select the “Series in Columns” option and then set the appropriate step value and stop value as shown in Figure 4.3D.
Figure 4.3D:  The Edit/Fill/Series Window

The corresponding y coordinates on the indifference curve are generated using the formula y = 1,000,000/x2 since the utility function has the form U = x2y and the original level of utility at the initial equilibrium (see Figure 4.1 in the paper) is 1,000,000.  The formula is entered into cell E3 in Figure 4.3 and then placed into cells E4 through E27 by selecting cells E3 through E27 and using the Edit/Fill/Down command.  Once all the (x, y) coordinates of the indifference curve are generated, the Copy and Edit/Paste Special command sequence is repeated to add the indifference curve to the chart.  
Markers denoting the equilibrium points can be inserted by selecting the equilibrium points on the Figure 4.3 worksheet and then repeating the Copy and Edit/Paste Special command sequence.  Initially there will be no markers and a line will connect the three points.  To reformat the data series in a way that hides the connecting lines and shows the markers for each point, click on the line connecting the points and then choosing the Format/Selected Data Series command to bring up the window shown in Figure 4.3E.
Figure 4.3E:  The Format/Selected Data Series Window

Choose the Pattern tab and then fill in the resulting menu of formatting options.  This sequence can be repeated to change the appearance of any of the curves produced in previous steps.