The price-demand and cost functions for the production of microwaves are given as and where is the number of microwaves that can be sold at a price of dollars per unit and is the total cost (in dollars) of producing units.

(A) Find the marginal cost as a function of .
=

(B) Find the revenue function in terms of .
=

(C) Find the marginal revenue function in terms of .
=

(D) Evaluate the marginal revenue function at .
=

(E) Find the profit function in terms of .
=

(F) Evaluate the marginal profit function at .
=

Hint: