4.7 | Optimization Problems

Guidelines for Solving Applied Minimum and Maximum Problems

  1. Identify all given quantities and all quantities to be determined. If possible, make a sketch.
  2. Write a primary equation for the quantity that is to be maximized or minimized.
  3. Reduce the primary equation to one having a single independent variable. This may involve the use of secondary equations relating the independent variables of the primary equation.
  4. Determine the feasible domain of the primary equation. That is, determine the values for which the stated problem makes sense.
  5. Determine the desired maximum or minimum value by applying techniques like the First and Second Derivative Tests.

E 4.7 Exercises