A supply chain analyst is reviewing a machine performance log. The data is presented as a set of ordered pairs representing (hours of machine operation, thousands of units packaged): $\{(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)\}$. To accurately configure the tracking software, you must identify the domain and the range of this specific dataset based on mathematical definitions. Which of the following correctly lists the domain and the range?

A retail inventory manager tracks the relationship between the number of item cases received and the total weight of the shipment in pounds. The data for five recent shipments is recorded as the relation: $\{(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)\}$. Match each mathematical term with the specific set of values it represents in this dataset.

A small business owner tracks the relationship between the number of custom products sold and the total profit earned in dollars, resulting in the relation $P = \{(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)\}$. True or False: The set $\{1, 2, 3, 4, 5\}$ represents the range of this relation.

Identifying Domain and Range in Logistics Data

A shipping coordinator tracks the relationship between the number of priority packages handled and the total weight in pounds for five separate shipments: $W = \{(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)\}$. In the context of this relation, the set of output values $\{3, 6, 9, 12, 15\}$ is mathematically defined as the ____ of the relation.