Section 2.3: Model and solve business applications with quadratic functions 3. Complete Number 73) Page 82 83 from the text book 73. Use the revenue and cost functions from Problem 71: R(x) = x(75-3x) Revenue function Cost Function C(x) = 125 + 16x Where x is in millions of chips, and R(x) and C(x) are in millions of dollars. Both functions have domain 1 ≤ x ≤ 20. A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. Copy your graphs for R and C from written assignment 6 and use the following table to find values for profit, and the following grid to graph all three functions in the same space. x (millions) 1 4 8 12 16 20 P(x) (millions $)

Section 2.3: Model and solve business applications with quadratic functions 3. Complete Number 73) Page 82 83 from the text book 73. Use the revenue and cost functions from Problem 71: R(x) = x(75-3x) Revenue function Cost Function C(x) = 125 + 16x Where x is in millions of chips, and R(x) and C(x) are in millions of dollars. Both functions have domain 1 ≤ x ≤ 20. A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. Copy your graphs for R and C from written assignment 6 and use the following table to find values for profit, and the following grid to graph all three functions in the same space. x (millions) 1 4 8 12 16 20 P(x) (millions $)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

MATH 1324 Written Assignment 7
Section 2.3: Model and solve business applications with quadratic functions
3. Complete Number 73) Page 82 83 from the text book
73. Use the revenue and cost functions from Problem 71:
R(x) = x(753x)
Revenue function
C(x) = 125 + 16x
Cost Function
Where x is in millions of chips, and R(x) and C(x) are in millions of dollars. Both
functions have domain 1 ≤ x ≤ 20.
A) Form a profit function P, and graph R, C, and P in the same rectangular
coordinate system. Copy your graphs for R and C from written assignment 6 and
use the following table to find values for profit, and the following grid to graph all
three functions in the same space.
x (millions)
1
4
8
212
16
20
TAKE A TOUR
P(x) (millions $)

T
MATH 1324 Written Assignment 7
B) Discuss the relationship between the intersection points of the graphs of R and C
and the x intercepts of P.
C) Find the x intercepts of P and the break-even points to the nearest thousand
chips using the quadratic formula.
D) Find the value of x (to the nearest thousand chips) that produces the maximum
profit. Find the maximum profit to the nearest thousand dollars. How does this
compare to the maximum revenue?
+

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