1. 4.1 Slack Variables and the Simplex Method Maximizing Objective Functions Maximize the objective function subject to: What would this look like?

2. 4.1 Slack Variables and the Simplex Method Can Matrices help? There is an issue: You only know how to solve systems of equations using matrices. In order to solve using matrices, we need the symbols to be not Slack Variables? Thus, slack variables need to be introduced. – A slack variable picks up the extra “slack” from the inequalities to ensure it is an equality.

3. 4.1 Slack Variables and the Simplex Method Making this system: Which turns to: Is there a solution? The current solution is:

4. 4.1 Slack Variables and the Simplex Method Problems to complete: – Pg. 159#1, 2 (write it as a system of equations, and then write the corresponding matrix)