p= 265 50 and C(x) = 84000 + 50x, 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(æ) =

p= 265 50 and C(x) = 84000 + 50x, 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(æ) =

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 2E

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Question

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

p = 265
50
and
C(x) = 84000 + 50x,
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
(D) Evaluate the marginal revenue function at x
1500.
R'(1500) =
...
...
...
(E) Find the profit function in terms of x.
P(æ) =
(F) Evaluate the marginal profit function at x =
1500.
Р'(1500) -

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