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Algebra 2: Linear Programming Moose Meals

Algebra 2: Linear Programming Moose Meals. Betsey Davis Mathematics & Science Center. www.cpaws.org/park-integrity/ park-wardens.html. Moose Meals. Moose eat terrestrial stuff daily t kilograms. whyfiles.org/shorties/ 069predator_prey/.

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Algebra 2: Linear Programming Moose Meals

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  1. Algebra 2: Linear ProgrammingMoose Meals Betsey Davis Mathematics & Science Center www.cpaws.org/park-integrity/ park-wardens.html

  2. Moose Meals • Moose eat terrestrial stuff daily t kilograms whyfiles.org/shorties/ 069predator_prey/ www.greatplains.org/resource/ 1999/ndmnrngp/122.gif Moose eat aquatic stuff dailya kilograms www.learnnc.org/.../ $FILE/moose.jpg www.durham.net/~ssh-chin/ arrowhead.jpg Moose Meals B. Davis 2005 Mathematics & Science Center

  3. Amounts • Each day one moose can only process 32 kilograms, • so, • a + t < 32 www.state.wy.us/.../home_page/ spring/pictures/moose.jpg Moose Meals B. Davis 2005 Mathematics & Science Center

  4. Amounts • a + t < 32 t www.state.wy.us/.../home_page/ spring/pictures/moose.jpg a Moose Meals B. Davis 2005 Mathematics & Science Center

  5. Calories www.state.wy.us/.../home_page/ spring/pictures/moose.jpg • Moose needs at least 11000 calories a day • a gives 193 per kilo • t gives 4 times as much or • 4x193 t = 772 t per kilo • so… • 193a + 772 t > 11000 Moose Meals B. Davis 2005 Mathematics & Science Center

  6. Calories www.state.wy.us/.../home_page/ spring/pictures/moose.jpg • Let’s add calories requirements to the kilogram limitations already on the graph • 193a + 772 t > 11000 t a Moose Meals B. Davis 2005 Mathematics & Science Center

  7. t Calories www.state.wy.us/.../home_page/ spring/pictures/moose.jpg 193a + 772 t > 11000 Here we didn’t bother to shade everything greater than the line. Instead we only shaded where the new information overlaps the old kilogram information. a Moose Meals B. Davis 2005 Mathematics & Science Center

  8. Sodium www.lm.liverpool.k12.ny.us/.../ periodicchart/sodium.html • We have looked at volume of food and energy from food. Now we examine the sodium requirement of moose. www.northstar.k12.ak.us/schools/ awe/moose/moosefood.html Moose Meals B. Davis 2005 Mathematics & Science Center

  9. Sodium www.lm.liverpool.k12.ny.us/.../ periodicchart/sodium.html • A moose needs 1.9 grams of sodium per day. • Aquatic food, a, provides .15 grams of sodium per kilo • Terrestrial food, t, has minimal sodium. www.northstar.k12.ak.us/schools/ awe/moose/moosefood.html So, .15a + 0 t > 1.9 Moose Meals B. Davis 2005 Mathematics & Science Center

  10. t Sodium Let’s add to our graph .15a + 0 t > 1.9 Again, let us not shade everything to the right of the line. Let us just shade where the new region overlaps the yellow and green. detnews.com/2002/outdoors/ 0201/18/d09-389782.htm a Moose Meals B. Davis 2005 Mathematics & Science Center

  11. Summary Moose : can process 32 kilograms of food daily their food comes from land and water they need 11000 calories per day they need 1.9 grams of sodium per day webhome.crk.umn.edu/clubs/wildlife/ Components/Moose004.jpg In algebra: a + t < 32 193a + 772 t > 11000 .15a + 0 t > 1.9 Moose Meals B. Davis 2005 Mathematics & Science Center

  12. t a Summary In algebra: a + t < 32 193a + 772 t > 11000 .15a + 0 t > 1.9 webhome.crk.umn.edu/clubs/wildlife/ Components/Moose004.jpg Moose Meals B. Davis 2005 Mathematics & Science Center

  13. t a Summary Examining the corner points of the triangular feasible region tells us that a moose needs to consume daily: between 12.5 to 24 kilo of aquatic food and between 8 and 19.5 kilo of land food to survive. webhome.crk.umn.edu/clubs/wildlife/ Components/Moose004.jpg About (12.5,19.5) About (24,8) About (12.5,10.5) Moose Meals B. Davis 2005 Mathematics & Science Center

  14. Long live the moose! mbgnet.mobot.org/sets/taiga/ animals/pict/4. Moose Meals B. Davis 2005 Mathematics & Science Center

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