Final answer:
Options a and b provide plausible scenarios of foreign key usage in a relational database, with a production authorization referencing labor operations and a bill of material referencing products. Options c and d are less common but, without further context on the specific business model and database schema, we cannot assume they are incorrect.
Step-by-step explanation:
In relational databases, a foreign key is a field in one table that uniquely identifies a row of another table. The foreign key thus establishes a relationship between the two tables. Option a suggests that Labor Operations primary key becomes a foreign key in Production Authorization. This is a typical scenario where a record in the Production Authorization table refers to a record in the Labor Operations table, hence it's plausible.
Option b, where the Products primary key becomes a foreign key in Bill of Material, also makes sense. Each bill of material would likely refer to a product, implying a relationship between Products and Bill of Material. Option c and d do not demonstrate a common relationship within databases, with c being particularly unlikely as Sunset Partners does not appear to be a dependent table related to Product Categories.
The correct answer is therefore:e. All of the above are correct. Even though option c and d do not seem to represent typical database relationships, without further context, we cannot definitively conclude they are incorrect. Database implementations can have unique relationships depending on the business requirements.