A company's cost is given by the function C(x) = 3.4x+18625 and their revenue is given by the function R(x) = -0.0035x² +82x-418.5, where x represents the number of units produced and sold. 105. Write a function, P(x), that represents the company's profit. A) P(x) = -0.0035x² +85.4x-18206.5 P(x)=0.0035x²-78.6x+19043.5 C) P(x)=-0.0035x² +78.6x-19043.5 D) P(x)=0.0035x² +85.4x+18206.5 B) 106. What is the company's profit if they produce and sell 8000 units? A) $440,993.50 B) $871,843.50 C) $925,406.50 D) $385,756.50

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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A company's cost is given by the function C(x) = 3.4x+18625 and their revenue is given by the
function R(x) = -0.0035x² +82x-418.5, where x represents the number of units produced and
sold.
105. Write a function, P(x), that represents the company's profit.
A) P(x) = -0.0035x² +85.4x-18206.5
P(x)=0.0035x²-78.6x+19043.5
C) P(x)=-0.0035x² +78.6x-19043.5
D) P(x)=0.0035x² +85.4x+18206.5
B)
106. What is the company's profit if they produce and sell 8000 units?
A) $440,993.50
B) $871,843.50
C) $925,406.50
D) $385,756.50
Lesson 6.3 Composition of Functions
Find the composition of functions, if it exists.
f = {(-4, 1), (-2, 4), (0, 5), (2, 6), (4, 8)}
g= {(-1, -3), (0, 2), (1, 4), (2, 5), (3, 7)}
h = {(-3, -5), (-1, -1), (1, 1), (3, 5)}
109. (foh)(x)
107. (fog)(x)
108. (goh)(x)
Transcribed Image Text:A company's cost is given by the function C(x) = 3.4x+18625 and their revenue is given by the function R(x) = -0.0035x² +82x-418.5, where x represents the number of units produced and sold. 105. Write a function, P(x), that represents the company's profit. A) P(x) = -0.0035x² +85.4x-18206.5 P(x)=0.0035x²-78.6x+19043.5 C) P(x)=-0.0035x² +78.6x-19043.5 D) P(x)=0.0035x² +85.4x+18206.5 B) 106. What is the company's profit if they produce and sell 8000 units? A) $440,993.50 B) $871,843.50 C) $925,406.50 D) $385,756.50 Lesson 6.3 Composition of Functions Find the composition of functions, if it exists. f = {(-4, 1), (-2, 4), (0, 5), (2, 6), (4, 8)} g= {(-1, -3), (0, 2), (1, 4), (2, 5), (3, 7)} h = {(-3, -5), (-1, -1), (1, 1), (3, 5)} 109. (foh)(x) 107. (fog)(x) 108. (goh)(x)
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