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Optimization

Optimization. Review- 3-D . Definition . If something is made as small as possible it is called minimized If something is made as large as possible It is called maximized . Steps. 1. Identify quantity to be maximized or minimized. 2. Draw and label the figure. 3. Primary equation.

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Optimization

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  1. Optimization Review- 3-D

  2. Definition If something is made as small as possible it is called minimized If something is made as large as possible It is called maximized

  3. Steps 1. Identify quantity to be maximized or minimized 2. Draw and label the figure 3. Primary equation 4. Represent all quantities with one variable 5. Find the max or the min 6. Check to see if answer is reasonable

  4. 1. An open box is to be made from a 10 by 16 sheet of metal by cutting squares out of the corners and folding up the sides. Find the dimensions of the box if the volume is to be maximized.

  5. 2) Find two positive numbers whose difference is 100 and whose product is a minimum

  6. A farmer has 3600 meters of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. What are the dimensions of the field that has the largest area?

  7. 4) Find the point on the parabola that is closest to the point (1 , 4).

  8. Home Work Worksheet on optimization

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