In your own version of Figure 18.7, draw three sets of plausible utility curves that take assets as a positive input and hours worked as a negative input. Draw one set so that the worker elects to work less than L1 hours, one set so that the worker elects to work exactly L1 hours, and one set so that the worker elects to work more than L2 hours.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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1. Medicaid work disincentive effects. Consider Figure 18.7, which depicts the labor market disincentive effects of Medicaid. In the figure:
• L is the number of hours worked per year.
• ¯I is the income threshold for Medicaid eligibility. If a worker earns less than ¯I, he is eligible for C free units of health care, which cost p per unit on the open market.
• The solid line indicates the total compensation (wage plus Medicaid benefits) that a worker earns as a function of L, hours worked.
• The slope of the solid line reflects the hourly wage

a. In your own version of Figure 18.7, draw three sets of plausible utility curves that take assets as a positive input and hours worked as a negative input. Draw one set so that the worker elects to work less than L1 hours, one set so that the worker elects to work exactly L1 hours, and one set so that the worker elects to work more than L2 hours.

The image presents a graphical representation of assets versus liabilities. The vertical axis is labeled "Assets" and the horizontal axis is labeled "L" (Liabilities).

Key elements of the graph:

1. **Lines and Interceptions:**
   - The graph features two main solid lines and one dashed line.
   - The first solid line originates from the point \(I + pC\) on the vertical axis, increasing at a constant slope until the level \(L_1\) on the horizontal axis, after which it becomes steeper.
   - The dashed line starts from \(I\) on the vertical axis and increases at a constant slope. This line serves as a reference and continues straight through the graph.

2. **Labels:**
   - \(I\): Represents the initial level of assets without any additional costs.
   - \(I + pC\): This denotes the level of assets when additional costs (or premiums) are considered.
   - \(\bar{I}\): This horizontal line marks a threshold of assets higher than \(I + pC\).
   - \(L_1\) and \(L_2\): These are specific points on the liabilities axis, representing different levels or thresholds in liabilities.

3. **Interpretation:**
   - The intercept at \(L_1\) indicates a change in the slope of asset accumulation, suggesting a shift in strategy or policy.
   - The change in slope beyond \(L_1\) might imply increased efficiency or a new phase in asset accumulation.

This graph can be used to illustrate concepts in financial management, such as asset management strategies in response to varying levels of liabilities.
Transcribed Image Text:The image presents a graphical representation of assets versus liabilities. The vertical axis is labeled "Assets" and the horizontal axis is labeled "L" (Liabilities). Key elements of the graph: 1. **Lines and Interceptions:** - The graph features two main solid lines and one dashed line. - The first solid line originates from the point \(I + pC\) on the vertical axis, increasing at a constant slope until the level \(L_1\) on the horizontal axis, after which it becomes steeper. - The dashed line starts from \(I\) on the vertical axis and increases at a constant slope. This line serves as a reference and continues straight through the graph. 2. **Labels:** - \(I\): Represents the initial level of assets without any additional costs. - \(I + pC\): This denotes the level of assets when additional costs (or premiums) are considered. - \(\bar{I}\): This horizontal line marks a threshold of assets higher than \(I + pC\). - \(L_1\) and \(L_2\): These are specific points on the liabilities axis, representing different levels or thresholds in liabilities. 3. **Interpretation:** - The intercept at \(L_1\) indicates a change in the slope of asset accumulation, suggesting a shift in strategy or policy. - The change in slope beyond \(L_1\) might imply increased efficiency or a new phase in asset accumulation. This graph can be used to illustrate concepts in financial management, such as asset management strategies in response to varying levels of liabilities.
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