Linear Programming and Correlation Quiz

Which of the following is the objective of a linear programming problem?

• To maximize or minimize a linear function

• To find the average of two functions

• To determine the derivative of a function

• To solve a quadratic equation

In a linear programming problem, constraints are represented using:

• Exponential equations

• Quadratic functions

• Linear inequalities

• Logarithmic functions

Tags

CCSS.8.EE.C.8B

The feasible region in a linear programming problem is defined as:

• The area where all constraints are violated

• The intersection of all constraint inequalities

• The region outside the boundary lines

• The entire coordinate plane

Tags

CCSS.HSA.REI.D.12

In the graphical method of solving a linear programming problem, the optimal solution is always found:

• Inside the feasible region

• At one of the corner points of the feasible region

• Outside the feasible region

• At the midpoint of the feasible region

Tags

CCSS.8.EE.C.8B

If a linear programming problem has an unbounded feasible region and seeks to maximize the objective function, what can be said about the solution?

• There is no feasible solution

• The maximum value may not exist

• The solution is always at the origin

• The solution must be a negative number

Tags

CCSS.8.EE.C.8B

The Simplex method is used to solve linear programming problems:

• With two variables only

• With more than two variables

• That cannot be solved graphically

• Both B and C

Tags

CCSS.8.EE.C.8B

If the constraints in a linear programming problem contradict each other and there is no common feasible region, the problem is said to be:

• Unbounded

• Infeasible

• Degenerate

• Redundant

Tags

CCSS.8.EE.C.8B

If two constraints are parallel lines and form a bounded region, how many corner points will the feasible region have?

• 0

• 1

• 2

• Infinite

Tags

CCSS.HSA.REI.D.12

If the objective function is parallel to one of the constraints in a maximization problem, then:

• The problem has a unique optimal solution

• The problem has multiple optimal solutions

• The problem has no feasible solution

• The problem is unbounded

Tags

CCSS.8.EE.C.8B

What is a scatterplot used for?

• To display the frequency of categorical data

• To show the relationship between two numerical variables

• To compare parts of a whole

• To organize data into groups