Angela's Specific Utility Function (u(t, c) = 4√t + c)

Consider a competitive market where, due to a sudden increase in consumer demand, firms are currently earning profits well above their normal rate of return. Arrange the following events in the logical order that describes how this market will adjust over the long term.

An individual's satisfaction from t hours of daily free time is represented by the function v(t) = 4√t. Which of the following statements accurately describes the change in this individual's satisfaction as they gain more free time?

Calculating and Interpreting Marginal Utility

An individual's satisfaction from t hours of free time is described by the function v(t) = 4√t. According to this function, the additional satisfaction gained from the 10th hour of free time is greater than the additional satisfaction gained from the 2nd hour of free time.

Evaluating a Job Offer

An individual's satisfaction from t hours of free time is given by the function v(t) = 4√t. Match each amount of free time to the corresponding level of satisfaction.

An individual's satisfaction from t hours of free time is given by the function v(t) = 4√t. If this individual increases their free time from 9 hours to 16 hours, their satisfaction will increase by ____ units.

Analyzing the Properties of a Utility Function

An individual's satisfaction from t hours of free time is given by the function v(t) = 4√t. Consider two scenarios:

• Scenario A: The individual's free time increases from 1 hour to 2 hours.
• Scenario B: The individual's free time increases from 9 hours to 10 hours.

How does the additional satisfaction gained in Scenario A compare to the additional satisfaction gained in Scenario B?

An individual's satisfaction from t hours of free time is represented by the function v(t) = 4√t. Now, consider a second individual whose satisfaction from free time is represented by w(t) = 8√t. Which statement accurately compares the satisfaction levels and the change in satisfaction for these two individuals?

An individual's satisfaction from t hours of free time is described by the function v(t) = 4√t. According to this function, the additional satisfaction gained from the 10th hour of free time is greater than the additional satisfaction gained from the 2nd hour of free time.