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Unformatted text preview: c circlecopyrt Kendra Kilmer March 26, 2009 Section 5.6 - Optimization Strategy for Solving Optimization Problems 1. Introduce variables, look for relationships among these variables, and construct a mathematical model of the form Maximize (or minimize) f ( x ) on the interval I 2. Find the critical values of f ( x ) . 3. Use the procedures developed in Section 5.5 to find the absolute maximum (or minimum) value of f ( x ) on the interval I and the value(s) of x where this occurs. 4. Use the solution to answer all questions asked in the problem. Example 1: Find two positive numbers whose sum is 60 and whose product is a maximum. Example 2: Find the dimensions of a rectangle of area 225 square centimeters that has the smallest perimeter. What is the perimeter? 8 c circlecopyrt Kendra Kilmer March 26, 2009 Example 3: A university student center sells 1,600 cups of coffee per day at a price of $2 . 40. A market survey shows that for every $0 . 05 reduction in price 50 more cups of coffee will be sold.05 reduction in price 50 more cups of coffee will be sold....
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- Fall '08