Optimization Problems

Optimization

If we wish to optimize a function, we are interested in finding its maximum or minimum.

 

APPLIED MINIMUM AND MAXIMUM PROBLEMS

Guidelines for Solving Applied Minimum and Maximum Problems

Step 1: Identify all given quantities and all quantities to be determined.  MAKE A SKETCH!!!

Step 2: Write a primary equation for the quantity that is to be maximized or minimized.

Step 3: Reduce the primary equation to one having a single independent variable.  You may need to use secondary equations relating the independent variables of the primary equation.

Step 4: Determine the feasible domain of the primary equation.

Step 5: Determine the desired maximum or minimum value using the techniques learned before.

 

Learn more about optimization problems by reading the explanation below.

Optimization Problems


Practice: Answer the following exercises about optimization problems.

Optimization Problems 1

Optimization Problems 2