### 3-4 Linear Programming

 Chapter 3 LessonsChapter 3 REVIEW DAY 1Learning 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 2Learning 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.

WARM UP DISCUSSION (GRAPHIC ORGANIZER)

Mr. Wilson will show you this problem...

3) A manufacturer of skis produces two types; downhill and cross-county.  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?

 Downhill Cross-Country Max time available Manufacturing time per ski 2 hours 1 hour 40 hours Finishing time per ski 1 hour 1 hour 32 hours Profit per ski \$70 \$50