Sunday, December 12, 2010

3.4 Linear Programming

For For my project i chose amusement parks. My problem is: Donny wants to build an amusement park that will cover at least 800 square feet. He will have two types of rides in his amusement park: roller coasters and kiddy rides. Each roller coaster will cover 40 square feet. Each kiddy ride will cover 20 square feet. Each ride cost $200 and Donny must stay within his budget of $8000. Write the constraints, and graph the feasible region. First I write the constraints which are: r is greater than or equal to zero, k is greater than or equal to zero, 40r plus 20k is less than or equal to 800 and 200r plus 200k is less than or equal to 8000. Then i graph each
contraint in an individual color. After that is established i combine all he graphs onto one which is called a feasible region. I finally, find the vertices which are: (0,0), (40,0, (20,40),(40,0).