A company decides to begin making and selling computers. The price function is given as follows: p=-30x + 3600, where x is the number of computers that can be sold at a price of p dollars per unit. Additionally, the financial department has determined that the weekly fixed cost of production will be 7000 dollars with an additional cost of 250 dollars per unit. (A) Find the revenue function in terms of x. R(x) = (B) Use the financial department's estimates to determine the cost function in terms of x. C(x) = (C) Find the profit function in terms of . P(x) = (D) Evaluate the marginal profit at = 250.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 13CR
icon
Related questions
Question
A company decides to begin making and selling computers. The price function is given as follows:
p=-30x + 3600,
where x is the number of computers that can be sold at a price of p dollars per unit. Additionally, the financial
department has determined that the weekly fixed cost of production will be 7000 dollars with an additional cost of
250 dollars per unit.
(A) Find the revenue function in terms of x.
0
(B) Use the financial department's estimates to determine the cost function in terms of x.
C(x) =
(C) Find the profit function in terms of x.
P(x) =
(D) Evaluate the marginal profit at x = 250.
P'(250)
R(x) =
Transcribed Image Text:A company decides to begin making and selling computers. The price function is given as follows: p=-30x + 3600, where x is the number of computers that can be sold at a price of p dollars per unit. Additionally, the financial department has determined that the weekly fixed cost of production will be 7000 dollars with an additional cost of 250 dollars per unit. (A) Find the revenue function in terms of x. 0 (B) Use the financial department's estimates to determine the cost function in terms of x. C(x) = (C) Find the profit function in terms of x. P(x) = (D) Evaluate the marginal profit at x = 250. P'(250) R(x) =
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL