Chapter 3 Lessons  
DAY 1 Learning Objective: Each student will be able to maximize and minimize an objective function (profit equation).  each student will be able to write constraints for a linear programming problem  each student will be able to analyze, interpret, and justify the answer to their linear programming problem.  DAY 2 Learning Objective: Each student will be able to organize and solve a linear programming problem.  each student will be able to analyze, interpret, and justify the answer to their linear programming problem. 
WARM UP: Write the system of equations, DO NOT SOLVE: 1) Twice the larger number minus three times a smaller number equals 27. Twice the smaller number increased by the larger number is 38. What are the two numbers?
2) A group of eighteen students go to a musical. Regular admission is $10 for a ticket. Students with activity ID’s get a discounted price of $7. All together the group spent $147. How many students in the group had activity ID’s? Day 1: View powerpoint attached below. Complete "Optimization with Linear programming" practice worksheet. EXTRA RESOURCES WATCH  WARM UP DISCUSSION (GRAPHIC ORGANIZER) Mr. Wilson will show you this problem... 3) A manufacturer of skis produces two types; downhill and crosscounty. Use the following table to determine how many of each kind of ski should be produced to achieve a maximum profit. What is the maximum profit?
