The price-demand and cost functions for the production of microwaves are given as

p=235−x40
and
C(x)=14000+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 in 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) =

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

1 answer

If you can follow the one I did, you can do the rest.