AOR_ICA_II_MCQ

1. Which of the following is the primary goal of linear programming?

• Minimize costs

• Maximize profits

• Optimize a linear objective function subject to constraints

• All of the above

1. In parametric linear programming, what is varied to study the effect on the optimal solution?

• The number of variables in the problem

• The constraints of the linear programming problem

• The coefficients of the objective function and/or constraints

• The solution method used

Which of the following best describes the cutting-plane method in integer programming?

• A method that generates feasible solutions directly

• A technique that adds constraints to eliminate non-integer solutions

• A graphical method used for small problems

• A method that always finds the optimal solution

Dynamic programming is particularly useful for problems with which characteristic?

• Large solution spaces with discrete variables

• Overlapping subproblems and optimal substructure

• Only linear constraints

• Single-stage decision-making

In non-linear programming, what is the primary purpose of the Kuhn-Tucker conditions?

• To find the global maximum of a function

• To determine the optimality of a solution in constrained optimization

• • To simplify the objective function

• To eliminate non-linear constraints

What is a characteristic feature of Wolfe’s algorithm?

• It is an iterative method that uses a penalty function.

• • It converts the problem into a series of linear programs.

• It focuses solely on convex objective functions

• • It only applies to unconstrained optimization problems.

What does the Pollaczek-Khinchine formula calculate in a queueing system?

• The average arrival rate

• The average waiting time in the queue

• The total number of customers in the system

• The utilization factor of the server

What is the significance of the traffic intensity (ρ) in M/M/1 queues?

• • It indicates how many customers can be served in an hour.

• It helps determine the stability of the queue.

• It measures customer satisfaction.

• • It is used to set the maximum arrival rate.

What is the Economic Order Quantity (EOQ) model primarily used for?

• To determine the optimal order quantity that minimizes total inventory costs

• To establish inventory levels for seasonal items

• To track perishable goods

• • To calculate storage costs for inventory

In a single item static model without price breaks, what is the primary consideration for determining order quantity?

• The lead time for delivery

• • The total holding costs

• The demand rate and holding costs

• The seasonal variations in demand