Question 8 of 16 The manager of an e-learning company identified a new course that they could create and sell for $95 per student. The costs for adding this new course to their product offering would be: $2,300 per month to lease additional space, $330 per month for insurance, $5,300 per month for support staff, $3,600 per month for sales staff, and variable costs of $4 per student. They can sell to a maximum of 400 students per month. a. For the company to break even per month, how many students would have to purchase the course? Round up to the next whole number b. To make a profit of at least $34,070 in a month, what is the smallest number of course purchases needed?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
Problem 14P
icon
Related questions
Question
Question 8 of 16
The manager of an e-learning company identified a new course that they could create and sell for $95 per student.
The costs for adding this new course to their product offering would be: $2,300 per month to lease additional space,
$330 per month for insurance, $5,300 per month for support staff, $3,600 per month for sales staff, and variable costs
of $4 per student. They can sell to a maximum of 400 students per month.
a. For the company to break even per month, how many students would have to purchase the course?
Round up to the next whole number
b. To make a profit of at least $34,070 in a month, what is the smallest number of course purchases needed?
Transcribed Image Text:Question 8 of 16 The manager of an e-learning company identified a new course that they could create and sell for $95 per student. The costs for adding this new course to their product offering would be: $2,300 per month to lease additional space, $330 per month for insurance, $5,300 per month for support staff, $3,600 per month for sales staff, and variable costs of $4 per student. They can sell to a maximum of 400 students per month. a. For the company to break even per month, how many students would have to purchase the course? Round up to the next whole number b. To make a profit of at least $34,070 in a month, what is the smallest number of course purchases needed?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning