Valuing a Job Promotion

A software developer's satisfaction is described by the utility function U(h, m) = 40√h + m, where 'h' is hours of leisure per day and 'm' is daily income in dollars. The developer currently enjoys 9 hours of leisure and earns $300 per day. A new project is proposed that would require them to work more, reducing their leisure time to 4 hours per day. What is the minimum additional daily income the developer would need to be paid for this new project to maintain their current level of satisfaction?

Consider an individual whose preferences for daily leisure hours (h) and daily income in dollars (m) can be represented by a utility function that is linear in money, such as U(h,m) = v(h) + m. If this individual receives a large, unexpected cash inheritance that significantly increases their income 'm' without changing their wage rate, their preferred number of daily leisure hours will also increase.

Critiquing a Model for Valuing Employee Benefits

Monetary Valuation of a Public Good

An individual's satisfaction from their monthly income (m) in dollars and the quality of their local park (q) is represented by the utility function U(q, m) = 20q - q² + m. Their current park quality is q=5. Match each potential change in park quality to its equivalent value in monetary terms, representing either the maximum amount they would pay for an improvement or the minimum compensation they would require for a deterioration.

A farmer's well-being is described by the function U(r, m) = 10*ln(r) + m, where 'r' is the effective monthly rainfall in inches and 'm' is the monthly profit in dollars. Currently, the farm receives 4 inches of effective rainfall. A new irrigation system is available that would increase the effective rainfall to 9 inches per month. The maximum monthly amount, in dollars, that this farmer would be willing to pay for the irrigation system is $______. (Round your answer to two decimal places).

An urban planner's satisfaction is described by a utility function that is linear in money: U(p, m) = v(p) + m, where 'p' is the quality of local public parks and 'm' is monthly income. A new industrial project is proposed that will lower the quality of the parks. Arrange the following steps in the correct logical order to calculate the minimum monetary compensation the planner would need to receive to be just as well-off as they were before the project.

Policy Decision for Urban Improvement

In a model where an individual's utility from a non-market good (x) and monetary income (m) is represented by a function that is linear in money, such as U(x, m) = v(x) + m, a very wealthy individual and a person with very low income would be willing to pay the exact same maximum amount of money for an identical, specific improvement in the non-market good 'x'.