Final Answer:
Sam's labor supply curve is vertical because, with differing wage rates between his winter and summer jobs, he adjusts the quantity of labor supplied by choosing to work more hours in the season with the higher hourly wage.
Step-by-step explanation:
A vertical labor supply curve implies that the quantity of labor supplied remains constant regardless of changes in the wage rate. However, in Sam's case, his labor supply curve is vertical because he chooses to work more hours in the summer when the wage rate is higher ($13 per hour) compared to the winter ($11 per hour). The vertical curve indicates that the wage rate is the primary factor influencing his decision to work more hours rather than the quantity of leisure.
When the wage rate increases, individuals might decide to work more hours to maximize their income, especially when facing seasonal job variations. In Sam's situation, the summer job offers a higher wage rate, making it more attractive for him to allocate more hours to work during that season.
The vertical slope signifies that Sam's labor supply is responsive to changes in wage rates but not to changes in the quantity of leisure. This illustrates the economic principle that individuals make labor supply decisions based on the relative attractiveness of different job opportunities.