A chess master creates instructional videos about various opening strategies. She sells the videos in 3-hr packages for $ 35 each. Her one-time initial cost to produce each 3-hr video package is $4,600 (this includes labor and the cost of computer supplies). The cost to package and ship each DVD is $ 2.95. a. Write a linear cost function that represents the cost C(x) to produce, package, and ship x 3-hr video packages. b. Write a linear revenue function to represent the revenue R(x) for selling x 3-hr video packages. c. Evaluate (R - C)(x) and interpret its meaning in the context of this problem.

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,...
icon
Related questions
Question
Solve the problem.
10)
10) A chess master creates instructional videos about various opening
strategies. She sells the videos in 3-hr packages for $ 35 each. Her
one-time initial cost to produce each 3-hr video package is $4,600
(this includes labor and the cost of computer supplies). The cost to
package and ship each DVD is $ 2.95.
a. Write a linear cost function that represents the cost C(x) to
produce, package, and ship x 3-hr video packages.
b. Write a linear revenue function to represent the revenue R(x) for
selling x 3-hr video packages.
c. Evaluate (R - C)(x) and interpret its meaning in the context of this
problem.
Transcribed Image Text:Solve the problem. 10) 10) A chess master creates instructional videos about various opening strategies. She sells the videos in 3-hr packages for $ 35 each. Her one-time initial cost to produce each 3-hr video package is $4,600 (this includes labor and the cost of computer supplies). The cost to package and ship each DVD is $ 2.95. a. Write a linear cost function that represents the cost C(x) to produce, package, and ship x 3-hr video packages. b. Write a linear revenue function to represent the revenue R(x) for selling x 3-hr video packages. c. Evaluate (R - C)(x) and interpret its meaning in the context of this problem.
Expert Solution
Sub-part (a)

Given that,The cost to package and ship each DVD is $2.95. A total of x 3-hr video packages are produced.

The one-time initial cost to produce each 3-hr video package is $4,600

Total cost=fixed cost+variable cost Cx=$4,600+$2.95 per DVD × x Cx=$4,600+2.95x

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Systems of Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education