Break-Even Point for a Publisher A magazine company had a profit of $98,000 per year when it had 32,000 subscribers. When it obtained 35,000 subscribers, it had a profit of $117,500. Assume that the profit P is a linear function of the number of subscribers s. a. Find the function . b. What will the profit be if the company has a total of 50,000 subscribers? c. What is the number of subscribers needed to break even?

Math 340 Lecture – Introduction to Ordinary Differential Equations – March 21, 2016 What We Covered: 1. Welcome back from Spring Break! 2. Course Content: Chapter 8 – An Introduction to Systems a. Section 8.4: Linear Systems i. Linear System: a system where the unknown functions appear linearly 1. Appear linearly: if there are no products, powers, or higher-order functions involving the unknowns 2. Where any set of differential equations have the following form ′