Engineering Optimization Quiz

What is the purpose of optimization in engineering?

• To make designs expensive

• To satisfy only one constraint

• To find the best solution under given limits

• To avoid using mathematics

Which of the following is not a component of an optimization problem?

• Objective function

• Constraints

• Decision variables

• Output port

An objective function in optimization is used to:

• Input data

• Evaluate the performance of a solution

• Eliminate constraints

• Stop the iteration

A constraint in optimization defines:

• A guideline

• A design idea

• A limit on the solution

• A plotting scale

Which of the following best describes design variables?

• Fixed constants

• Results of a process

• Quantities that can be adjusted

• Cost estimations

Graphical methods are most effective when:

• There are 3 or more variables

• There are 2 variables

• There are no constraints

• The function is non-linear

In graphical optimization, the objective function is usually represented as:

• A bar chart

• A moving line

• A color map

• A parabola

The feasible region is defined by:

• Points that break constraints

• The boundary lines

• All points that satisfy the constraints

• Only corner points

The optimal point in graphical optimization lies:

• Outside the feasible region

• Where the objective function crosses an axis

• At one of the boundary lines

• On the boundary or corner of the feasible region

What is a necessary condition for optimality in unconstrained optimization?

• The function must be increasing

• The gradient must be zero

• The constraint must be negative

• The variable must be integer