This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 26 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 26 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What tool is recommended for teaching graphical solutions to linear inequalities in Session 10.3? A) Microsoft PowerPoint. B) Microsoft Excel. C) Microsoft Access. D) Microsoft Word. Show Answer Correct Answer: B) Microsoft Excel. 2. What is an optimal solution? A) The aim of the problem. B) Values that satisfy all constrains. C) The feasible solution that meets the objective. D) The numbers of each of the things that can be varied. The variables, often called x, y, z etc, will be the 'letters' in the inequalities and the objective function. Show Answer Correct Answer: C) The feasible solution that meets the objective. 3. Which method is used to find the optimal solution in graphical linear programming? A) Simplex method. B) Heuristic method. C) Corner point method. D) Random search method. Show Answer Correct Answer: C) Corner point method. 4. Question 8:What is the significance of the feasible region in solving linear programming problems? A) It is only used for visualization purposes and does not impact the solution. B) It has no significance in solving linear programming problems. C) It represents the set of all possible solutions that satisfy the constraints of the linear programming problem. D) It represents the unattainable solutions of the linear programming problem. Show Answer Correct Answer: C) It represents the set of all possible solutions that satisfy the constraints of the linear programming problem. 5. If a problem has only less-than-or-equal-to constraints with positive coefficients for the variables, rounding down will always provide a feasible integer solution. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 6. In the graph, this is the intercept when the value of x = 0 A) X-intercept. B) Y-intercept. C) Vertex. D) First quadrant. Show Answer Correct Answer: B) Y-intercept. 7. The assignment problem is a special case of the transportation problem in which one agent is assigned to one, and only one, task. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 8. Find the inverse of the matrix [[1, 2], [3, 4]]. A) [[0, 1], [1, 0]]. B) [[4, 3], [2, 1]]. C) [[-2, 1], [1.5, -0.5]]. D) [[1, 2], [3, 4]]. Show Answer Correct Answer: C) [[-2, 1], [1.5, -0.5]]. 9. All linear programs must seek to maximize some quantity. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 10. The technique that helps to optimize a function subject to constraints by incorporating the constraints into the objective function via multipliers is called: A) Newton's Method. B) Lagrange Multipliers. C) Gradient Descent. D) Interior-Point Method. Show Answer Correct Answer: B) Lagrange Multipliers. 11. First step in formulating Linear Programming A) Identify the objective and constraints. B) Define the decision variables. C) Completely understand the managerial problem being faced. D) Use the decision variables to write mathematical expressions for the objective function and the constraints. Show Answer Correct Answer: C) Completely understand the managerial problem being faced. 12. What area on a graph shows all possible solutions? A) Solution set. B) Intersection points. C) Graph boundary. D) Feasible region. Show Answer Correct Answer: D) Feasible region. 13. A constraint in LPP represents: A) Objective function. B) Limitation or restriction. C) Maximization target. D) Graph axis. Show Answer Correct Answer: B) Limitation or restriction. 14. What is the purpose of slack variables in linear programming? A) To increase the objective function value. B) To convert inequalities into equalities. C) To represent decision variables. D) To define constraints. Show Answer Correct Answer: B) To convert inequalities into equalities. 15. Which of the following problems is an example of a blending problem? A) Determining the optimal investment strategy. B) Maximizing profit from product sales. C) Allocating resources for production. D) Finding the best mix of ingredients for a product. Show Answer Correct Answer: D) Finding the best mix of ingredients for a product. 16. Decision variables can never be A) Negative. B) Positive. C) Affirmative. D) Humans. Show Answer Correct Answer: A) Negative. 17. What is the objective function in the given linear programming problem? A) 4x + 3y. B) 2x + 5y. C) 5x + 2y. D) 3x + 4y. Show Answer Correct Answer: A) 4x + 3y. 18. For a minimization problem where z =-3x$_{1}$ + 2x$_{2}$-5x$_{3}$, the corresponding maximization objective function in the standard form will be ..... A) -3x$_{1}$ + 2x$_{2}$-5x$_{3}$. B) 3x$_{1}$-2x$_{2}$ + 5x$_{3}$. C) -3x$_{1}$-2x$_{2}$-5x$_{3}$. D) 3x$_{1}$ + 2x$_{2}$ + 5x$_{3}$. Show Answer Correct Answer: B) 3x$_{1}$-2x$_{2}$ + 5x$_{3}$. 19. Sarah makes at least 18 bags a week. She can't make more than 7 big purses and she can't make more than 10 small purses. Sarah makes $ 30 for each small purse (x) and $ 50 for each big purse (y). What is the objective quantity? A) P= 30x + 50y. B) P = 50x + 30y. C) P= 18x +50y. D) P= 7x + 10y. Show Answer Correct Answer: A) P= 30x + 50y. 20. Consider the following linear programming model.Min 2X1 + 3X2 Subject to:X1 + X2 $\geq$ 4, X1 $\geq$ 2, X1, X2 $\geq$ 0. This linear programming model has: A) Unique optimal solution. B) Unbounded solution. C) Infeasible solution. D) Alternate optimal solution. Show Answer Correct Answer: A) Unique optimal solution. 21. Discuss the role of objective function in linear programming and its importance. A) Objective function in linear programming is only used for aesthetic purposes. B) Objective function in linear programming sets the optimization goal and guides the decision-making process. C) Objective function in linear programming is irrelevant and can be ignored. D) Objective function in linear programming is determined randomly. Show Answer Correct Answer: B) Objective function in linear programming sets the optimization goal and guides the decision-making process. 22. What is the purpose of introducing slack variables in a linear programming model? A) To convert inequalities into equalities. B) To increase the number of variables. C) To decrease the solution space. D) To simplify the objective function. Show Answer Correct Answer: A) To convert inequalities into equalities. 23. What is the balanced transportation model? A) A model where supply equals demand and all constraints are equalities. B) A model where supply is greater than demand. C) A model where demand is greater than supply. D) A model with unbalanced constraints. Show Answer Correct Answer: A) A model where supply equals demand and all constraints are equalities. 24. A decision model has the following input variables:Historical sales data and historical advertising budget. The model is considered to be probabilistic. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 25. Can we have more than one optimal solution? A) Yes, we can have more than one optimal solution. B) Multiple optimal solutions are not possible in any scenario. C) No, there can only be one optimal solution. D) Optimal solutions are always unique. Show Answer Correct Answer: A) Yes, we can have more than one optimal solution. ← PreviousNext →Related QuizzesClass 12 Mathematics Chapter 12 Linear Programming Quiz 1Class 12 Mathematics Chapter 12 Linear Programming Quiz 2Class 12 Mathematics Chapter 12 Linear Programming Quiz 3Class 12 Mathematics Chapter 12 Linear Programming Quiz 4Class 12 Mathematics Chapter 12 Linear Programming Quiz 5Class 12 Mathematics Chapter 12 Linear Programming Quiz 6Class 12 Mathematics Chapter 12 Linear Programming Quiz 7Class 12 Mathematics Chapter 12 Linear Programming Quiz 8Class 12 Mathematics Chapter 12 Linear Programming Quiz 9Class 12 Mathematics Chapter 12 Linear Programming Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books