Podunk Insititute of Technology's Math Department offers two courses: Finite Math and Applied Calculus.Each section of Finite Math has 60 students, and each section of Applied Calculus has 50. The Department is allowed to offer a total of up to 110 sections. Furthermore, no more than 6,000 students want to take a math course. (No student will take more than one math course.) Sppose the university makes a profit of $100,000 on each section of Finite Math and $50,000 on each section of Applied Calculus. How many sections of each course should the department offer to make the largest profit?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
icon
Related questions
Topic Video
Question

Podunk Insititute of Technology's Math Department offers two courses: Finite Math and Applied Calculus.Each section of Finite Math has 60 students, and each section of Applied Calculus has 50. The Department is allowed to offer a total of up to 110 sections. Furthermore, no more than 6,000 students want to take a math course. (No student will take more than one math course.) Sppose the university makes a profit of $100,000 on each section of Finite Math and $50,000 on each section of Applied Calculus. How many sections of each course should the department offer to make the largest profit?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College