Analyzing Todd’s Consumer Behavior: Marginal Utility and Cowboy Hat Purchase

Introduction

Todd, a cattle rancher, manages his clothing budget to make choices between jeans and cowboy hats in the months of June and July. Each pair of jeans costs $55, and every cowboy hat sets him back $40. To gain insights into Todd’s consumer behavior, we will explore the concept of marginal utility and determine the marginal utility of the last cowboy hat he purchased. Marginal utility is a fundamental economic concept that helps us understand how individuals make choices to maximize their satisfaction or utility.

Understanding Marginal Utility

Marginal utility refers to the additional satisfaction or pleasure a consumer derives from consuming one more unit of a particular good or service while keeping other factors constant. In this case, Todd’s optimal choice, as indicated, is based on his marginal utility from the last pair of jeans purchased, which is 600.

The Marginal Utility of Cowboy Hats

To determine the marginal utility of the last cowboy hat Todd purchased, we need to consider the budget constraint and Todd’s preferences. Let’s assume that Todd’s clothing budget allows him to buy both jeans and cowboy hats but with a limited allocation of funds. The key idea here is that Todd allocates his resources in a way that maximizes his overall utility.

Given that Todd spent $55 on each pair of jeans, the marginal utility per dollar spent on jeans is 600/55. This can be calculated as:

Marginal Utility per Dollar on Jeans = 600 / 55 ≈ 10.91 (rounded to two decimal places)

Now, we need to determine how many jeans Todd could have purchased for the price of a single cowboy hat. Since each hat costs $40, Todd could have bought $40/$55 ≈ 0.73 jeans for the same price. Since you can’t purchase a fraction of a pair of jeans, Todd effectively gives up the purchase of one pair of jeans to buy a single cowboy hat.

Now, to find the marginal utility of the last cowboy hat, we need to consider the opportunity cost. The opportunity cost here is the marginal utility Todd gives up by not buying one more pair of jeans. Therefore, Todd’s marginal utility from the last cowboy hat is:

Marginal Utility of Cowboy Hat = Marginal Utility per Dollar on Jeans × Jeans Equivalent Cost of Cowboy Hat Marginal Utility of Cowboy Hat ≈ 10.91 × 1 ≈ 10.91

Rounding this to a whole number, we can say that Todd’s marginal utility from the last cowboy hat purchased is approximately 11.

Conclusion

Todd’s consumer behavior is guided by the principle of marginal utility, which helps him allocate his clothing budget to maximize his overall satisfaction. With a marginal utility of 600 from the last pair of jeans purchased, he gives up buying one more pair of jeans to buy a cowboy hat, resulting in a marginal utility of approximately 11 for that hat. This analysis provides valuable insights into Todd’s decision-making process and showcases the role of marginal utility in consumer choices.