Question

The price-demand and cost functions for the production of microwaves are given as
p=200−x70
and
C(x)=82000+70x,
where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing x units.
(A) Find the marginal cost as a function of x.
C′(x) =
(B) Find the revenue function is terms of x.
R(x) =
(C) Find the marginal revenue function in terms of x.
R′(x) =
(D) Evaluate the marginal revenue function at x=1500.
R′(1500) =
(E) Find the profit function in terms of x.
P(x) =

Answer 1

(F) Evaluate the marginal profit function at x=1500.
P′(1500) =