A company produces x units of a product per month, where C(x) represents the total cost and R(x) represents the total revenue for the month. The functions are modeled by C(x) = 300x + 250 and R(x) = -0.5x+ 800x - 100. The profit is the difference between revenue and cost where P(x) = R(x) – C(x). What is the total profit, P(x), for the month? 1. P(x) = -0.5x2 + 500x - 150 P(x) = -0.5x2 + 500x - 350 2. 3. P(x) = -0.5x2 - 500x + 350 4. P(x) = -0.5x2. +500x + 350

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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A company produces x units of a product per month, where C(x) represents the
total cost and R(x) represents the total revenue for the month. The functions are
modeled by C(x) = 300x + 250 and R(x) = -0.5x2+ 800x - 100. The profit is the
difference between revenue and cost where P(x) = R(x) - C(x). What is the total
profit, P(x), for the month?
1.
P(x) = -0.5x2 +500x - 150
P(x) = -0.5x2 + 500x - 350
2.
3.
P(x) = -0.5x2 - 500x + 350
4.
P(x) = -0.5x + 500x + 350
Transcribed Image Text:A company produces x units of a product per month, where C(x) represents the total cost and R(x) represents the total revenue for the month. The functions are modeled by C(x) = 300x + 250 and R(x) = -0.5x2+ 800x - 100. The profit is the difference between revenue and cost where P(x) = R(x) - C(x). What is the total profit, P(x), for the month? 1. P(x) = -0.5x2 +500x - 150 P(x) = -0.5x2 + 500x - 350 2. 3. P(x) = -0.5x2 - 500x + 350 4. P(x) = -0.5x + 500x + 350
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