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Linear Programming - Huben's Wiki

Linear Programming

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(Created page with "In my experience, Linear Programming (taught in most Algebra/precalculus and some Geometry courses) is poorly understood by teachers who have "mastered" it (ie. they know the ...")
 
 
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I was taking an excellent course on methods for teaching mathematics at Tufts, and the professor showed this method.  Nobody really got it.  So the next day I brought in a model that made it clear, and everybody understood it immediately.
 
I was taking an excellent course on methods for teaching mathematics at Tufts, and the professor showed this method.  Nobody really got it.  So the next day I brought in a model that made it clear, and everybody understood it immediately.
  
My idea was simply to show this as a three dimensional graph.  I made it out of acetate sheets with chopsticks as axes.  I used the x/y plane as the base, and graphed the feasible region on it.  The z axis represents the evaluative function, so that instead of having aX + bY = c, we are using aX + bY = z.  I built walls of acetate for the feasible region to show that it forms a prism in 3 space, and marked the z axis value on them as horizontal bands. The evaluative function represents a plane in 3 space that cuts across the prism.  I made a piece that capped the prism where the plane would be, and drew the z axis value isoclines on it.  The result looked a lot like this diagram of a prism cut by an oblique plane:
+
My idea was simply to show this as a three dimensional graph.  I made it out of acetate sheets and scotch tape with chopsticks as axes.  I used the x/y plane as the base, and graphed the feasible region on it.  The z axis represents the evaluative function, so that instead of having aX + bY = c, we are using aX + bY = z.  I built walls of acetate for the feasible region to show that it forms a prism in 3 space, and marked the z axis value on them as horizontal bands. The evaluative function represents a plane in 3 space that cuts across the prism.  I made a piece that capped the prism where the plane would be, and drew the z axis value isoclines on it.  The result looked a lot like this diagram of a prism cut by an oblique plane:
  
  

Latest revision as of 13:06, 4 June 2018

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