If an integer linear programming problem has no feasible solution, then its relaxed solution (LP relaxation) must also have no feasible solution

Transnational corporations are defined as:

A. doing business in the state in which they are incorporated. B. doing business in the state of incorporation as well as neighboring states in the same country. C. parent entities that control assets of affiliated entities in foreign countries. D. entities formed between two or more parties only to import essential goods.

A company faces fixed costs of $100,000 and variable costs of $8.00/unit. They plan to directly sell their product to the market for $12.00. How many units must they produce and sell to break even?

A) 20,000 B) 25,000 C) 40,000 D) 50,000 E) not enough information to calculate