Respond to the following hypothetical with a thorough analysis of the relevant facts as they apply to the law.

The part-time faculty at Farber College are disturbed by the college administration's decision to freeze their pay. They are paid a flat fee for each course they teach, and that fee has not been raised for the last five years. The part-time faculty do not play any role in developing college policies or in deciding curriculum matters. The part-time faculty do not have permanent offices, and must meet with students in the campus cafeteria or coffee shop. The part-time faculty decide to form a union to bargain with the college administration. Are the part-time faculty "employees" under the NLRA? Why? Would your answer change if Farber were a public college? Why?