Linear Programming Quiz

What is the goal in linear programming?

• Maximize distance or minimize time

• Maximize time or minimize distance

• Maximize cost or minimize profit

• Maximize profit or minimize cost

What are the components of a linear programming model?

• Objective function, decision variables, constraints, parameters

• Objective function, constraints, parameters, assumptions

• Decision variables, constraints, parameters, assumptions

• Objective function, decision variables, constraints, assumptions

What is the purpose of introducing slack variables in the simplex method?

• To simplify the matrix operations

• To minimize the constraints

• To maximize the objective function

• To convert inequalities into equations

What is the feasible region in linear programming?

• The region with the lowest cost

• The region with the highest profit

• The set of all non-negative values

• The set of all possible solutions that satisfy the constraints

What is the main difference between the graphic solution method and the simplex algorithm in linear programming?

• The graphic method is limited to two variables, while the simplex method can handle multiple variables

• The graphic method is faster than the simplex method

• The simplex method is used for minimization problems only

• The graphic method is more accurate than the simplex method

What is the purpose of the objective function in a linear programming model?

• To determine the decision variables

• To list all the constraints of the problem

• To define the criterion by which decisions are evaluated

• To calculate the slack variables

What does the non-negativity constraint in linear programming imply?

• Variables cannot take on negative values

• Variables can be negative or positive

• Variables must be integers

• Variables must be divisible

What is the purpose of the simplex method in linear programming?

• To iteratively improve the solution until optimal is reached

• To graphically represent the constraints

• To calculate the objective function

• To introduce slack variables

What are the components of a linear programming model?

• Objective function, decision variables, constraints, assumptions

• Decision variables, constraints, parameters, assumptions

• Objective function, constraints, parameters, assumptions

• Objective function, decision variables, constraints, parameters

What is the purpose of the objective function in a linear programming model?

• To calculate the slack variables

• To list all the constraints of the problem

• To define the criterion by which decisions are evaluated

• To determine the decision variables