Cindy takes a Club Med vacation, the cost of which includes...

Cindy takes a Club Med vacation, the cost of which includes unlimited sports activities. With no extra charge for golf and tennis, Cindy allocates a total of 4 hours a day to these activities. a. How many hours does Cindy play golf and how many hours does she play tennis? b. What is Cindy's marginal utility from golf and from tennis? c. Why does Cindy equalize the marginal utilities rather than the marginal utility per dollar from golf and from tennis?

Cindy takes a Club Med vacation, the cost of which includes unlimited sports activities. With no extra charge for golf and tennis, Cindy allocates a total of 4 hours a day to these activities.
a. How many hours does Cindy play golf and how many hours does she play tennis?
b. What is Cindy's marginal utility from golf and from tennis?
c. Why does Cindy equalize the marginal utilities rather than the marginal utility per dollar from golf and from tennis?

Key Concepts

Marginal Utility

Marginal utility represents the additional satisfaction or benefit received from consuming one more unit of a good or service. It is a fundamental concept in consumer theory that helps explain how individuals allocate limited resources to maximize their overall satisfaction by comparing the extra benefits of different activities.

Time Allocation and Opportunity Cost

Time allocation refers to the decision-making process in which a fixed amount of time is distributed across different activities. In this context, the concept emphasizes how individuals must consider the opportunity cost—what is forgone by not using the time for an alternative activity—when deciding how to divide their available time in order to enhance overall utility.

Equalization of Marginal Utility

Equalization of marginal utility is a principle in optimization that suggests, in the absence of differing costs, a decision maker should allocate resources (or time) such that the marginal utility derived from each activity is equal. This ensures that no reallocation of time would provide additional total utility, thus achieving an optimal balance in consumption or activity selection when activities are cost-free.

Distinction from Marginal Utility per Dollar

In typical consumer choice models, the marginal utility per dollar spent is equalized across goods to maximize utility given a budget constraint. However, when goods or activities are free or have the same cost, as in this time allocation problem, the focus shifts to equalizing the marginal utilities directly rather than the marginal utility per dollar. This distinction is crucial because it highlights that the optimal allocation in a cost-free context is based solely on the satisfaction gained per unit of time.

Transcript

Please give Ace some feedback