Optimization Problems

# Optimization Problems - maximized or minimized 3 Reduce the...

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Optimization Problems Section 3.7

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Applications of min/max problems Minimum cost Maximum profit Finding the optional pkg. size Minimize surface area (material) given a certain volume Maximize volume given a certain material Maximize grazing area for cows given a certain amount of fencing
Problem-Solving Strategy for Min/Max Problems 1. Assign symbols to all given quantities and quantities to be determined. Draw a sketch. 2. Write a primary eqn. for the quantity to be

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Unformatted text preview: maximized or minimized. 3. Reduce the primary eqn. to one having a single independent variable. 4. Determine the domain of the primary eqn. 5. Determine the desired maximum or minimum value by taking derivative of eqn, finding critical points, & using 1 st or 2 nd derivative test to determine whether it’s a max. or min. Joke Time Who is the mother of Minnie? Minimum What do you call 144 cockroaches? Gross...
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Optimization Problems - maximized or minimized 3 Reduce the...

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