{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lecture29

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

This preview shows pages 1–3. Sign up to view the full content.

Math 006 (Lecture 29) 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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example 2. Refer to Example 1. The homeowner judges that an area of 800 square feet for the garden is too small and decides to increase the area to \$1,250 square feet. What
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online