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3.7 Optimization Problems

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Presentation on theme: "3.7 Optimization Problems"— Presentation transcript:

1 3.7 Optimization Problems
-Determination of minimum and maximum values. -Greatest profit, least cost, least time, greatest voltage, optimum size, least size, greatest distance.

2 Process Identify your quantities given and quantities to be determined. Write a primary equation for the quantity that needs to be optimized. Reduce the primary equation to one having a single independent variable. May need a secondary equation relating the independent variables of the primary equation. Determine the feasible domain (what values make sense for an answer) Use calculus techniques learned in Ch.3 to find given variables.

3 A hobby store has 20 ft of fencing to fence off a rectangular area for an electric train in one corner of its display room. The two sides against the wall do not require a fence. What dimensions of the rectangle will maximize the area? What is the maximum area?


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