3-4 Linear Programming

   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. 




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 






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