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Math 180

Math 180. 4.6 – Applied Optimization. In optimization problems, the goal is to maximize or minimize something (like volume, area, cost, …). Ex 1.

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Math 180

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  1. Math 180 4.6 – Applied Optimization

  2. In optimization problems, the goal is to maximize or minimize something (like volume, area, cost, …).

  3. Ex 1. An open-top box is to be made by cutting small congruent squares from the corners of a 12-in.-by-12-in. sheet of tin and bending up the sides. How large should the squares cut from the corners be to make the box hold as much as possible?

  4. Ex 2. You have been asked to design a 1000-cm3 can shaped like a right circular cylinder. What dimensions will use the least material?

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