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.
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 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...
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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) =
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