lecture29 - Math 006 (Lecture 29) Optimization Strategy for...

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Optimization Strategy for solving optimization problems: Step 1: Introduce variables, look for relationships among the variables, and construct a mathematical model of the form Maximize (or Minimize) f ( x ) on the interval I Step 2: Find the critical value(s) of f ( x ). Step 3: Find the abolute maximum (or minimum) value of f ( x ) on the interval I and the value(s) of x where this occurs. Step 4: Use the solution to the mathematical model to answer all the questions asked in the problem. Example 1. A homeowner has $320 to spend on building a fence around a rectangular garden. Three sides of the fence will be constructed with wire fencing at a cost of $2 per linear foot. The fourth side is to be constructed with wood fencing at a cost of $6 per linear foot. Find the dimensions and the area of the largest garden that can be enclosed with $320 wroth of fencing. 1
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This note was uploaded on 09/04/2010 for the course MATH MATH006 taught by Professor Forgot during the Fall '09 term at HKUST.

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lecture29 - Math 006 (Lecture 29) Optimization Strategy for...

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