Indicate whether each of the following statements is true, false, or uncertain, and explain your answer.

1. A profit-maximizing monopolist never produces in the inelastic part of a linear demand curve.
2. The short-run supply curve of a competitive firm is its MC curve.
3. If a firm is producing at the profit maximizing level of output, it must be making a profit.
4. Perfect competition guarantees allocative efficiency.
5. Perfect competition guarantees technical efficiency.
6. A profit-maximizing monopolist can never be allocatively efficient.