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

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Presentation on theme: "Algebra 2: Linear Programming Moose Meals Betsey Davis Mathematics & Science Center www.cpaws.org/park-integrity/ park- wardens.html."— Presentation transcript:

1 Algebra 2: Linear Programming Moose Meals Betsey Davis Mathematics & Science Center park- wardens.html

2 Moose Meals B. Davis 2005 Mathematics & Science Center Moose Meals tMoose eat terrestrial stuff daily t kilograms a Moose eat aquatic stuff daily a kilograms whyfiles.org/shorties/ 069predator_prey/ $FILE/moose.jpg rg/resource/ 1999/ndmnrngp/12 2.gif arrowhead.jpg

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

4 Moose Meals B. Davis 2005 Mathematics & Science Center Amounts spring/pictures/moose.jpg a + t < 32 a t

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

6 Moose Meals B. Davis 2005 Mathematics & Science Center Calories spring/pictures/moose.jpg Let’s add calories requirements to the kilogram limitations already on the graph 193a t > a t

7 Moose Meals B. Davis 2005 Mathematics & Science Center Calories spring/pictures/moose.jpg 193a t > 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 t

8 Moose Meals B. Davis 2005 Mathematics & Science Center Sodium We have looked at volume of food and energy from food. Now we examine the sodium requirement of moose. periodicchart/sodium.html awe/moose/moosefood.html

9 Moose Meals B. Davis 2005 Mathematics & Science Center Sodium 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. periodicchart/sodium.html awe/moose/moosefood.html So,.15a + 0 t > 1.9

10 Moose Meals B. Davis 2005 Mathematics & Science Center Sodium detnews.com/2002/outdoors/ 0201/18/d htm Let’s add to our graph.15a + 0 t > 1.9 t a 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.

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

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

13 Moose Meals B. Davis 2005 Mathematics & Science Center webhome.crk.umn.edu/clubs/wildlife/ Components/Moose004.jpg Summary t a About (24,8) About (12.5,19.5) About (12.5,10.5) 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.

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


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