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Max-Min Problems:

Problem #4: The base of a triangle is on the x-axis, one side lies along the line y = 3x, and the third side passes through the point (1,1). What is the slope of the third side if the area of the triangle is to be a minimm?

Instructions: In this applet, you may vary Q by dragging it with the left mouse button. Notice how Area A and Slope vary as Q moves. Let Q be represented as following: Q(x1,y1). Since the three lines have to enclose a triangle, y1 has a lower bound. Therefore,

1 < y1 < +inf <-> 1/3 < x < + inf

 

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Write to: Teresinha Kawasaki