This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 8 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Solve each of the following systems of linear inequalities a graphing approach. Verify using a graphing calculator. Which of following are the corner points? $x+y\le8$ $5x-7y\ge-14$ $y\ge2$ A) (2, 0), (4, 5), (6, 0). B) (2, 0), (3, 5), (0, 6). C) (0, 2), (3.5, 4.5), (6, 2). D) (0, 0), (3, 5), (6, 0). Show Answer Correct Answer: C) (0, 2), (3.5, 4.5), (6, 2). 2. Which of the following is NOT a component of a linear programming model? A) Random variables. B) Decision variables. C) Objective function. D) Constraints. Show Answer Correct Answer: A) Random variables. 3. Constraints are what you are using to create your product. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 4. What is the main application of LP in supply chain operations? A) Optimizing Staff Scheduling. B) Determining Transportation Routes. C) Minimizing Profit. D) Maximizing Fuel Consumption. Show Answer Correct Answer: B) Determining Transportation Routes. 5. In any balanced transportation problem with m sources n destinations, there have to be ..... basic cells A) $m+n-2$. B) $m-n+1$. C) $m+n-1$. D) $m+n+1$. Show Answer Correct Answer: C) $m+n-1$. 6. Which of the following is NOT a step in LPP formulation? A) Defining variables. B) Writing constraints. C) Ignoring objective function. D) Writing objective function. Show Answer Correct Answer: C) Ignoring objective function. 7. How many of each purse should Sarah make to maximize profit? A) 6 big purses. B) 8 small purses. C) 6 small purses and 2 big purses. D) None of the above. Show Answer Correct Answer: A) 6 big purses. 8. In graphical method, the feasible region is plotted on: A) Number line. B) Pie chart. C) XY-plane. D) Bar graph. Show Answer Correct Answer: C) XY-plane. 9. Which of the following statements best describes the simplex method when applied to optimizing a portfolio in finance? A) A method that visually identifies the optimal portfolio mix. B) A trial-and-error method for finding the feasible investment region. C) An algorithm that systematically moves through portfolio options to find the optimal investment solution. D) A method that only works for portfolios with two types of assets. Show Answer Correct Answer: C) An algorithm that systematically moves through portfolio options to find the optimal investment solution. 10. What is the purpose of the Solver tool in Microsoft Excel for LP? A) To create animations. B) To solve complex decision-making problems. C) To play games. D) To write essays. Show Answer Correct Answer: B) To solve complex decision-making problems. 11. Which mathematical tool uses the second-order derivative (the Hessian matrix) to potentially find the minimum or maximum faster than gradient descent? A) Simplex Method. B) Newton's Method. C) Lagrange Multipliers. D) Monte Carlo Simulation. Show Answer Correct Answer: B) Newton's Method. 12. What is the role of parameters in a linear programming model? A) To set constraints. B) To provide numerical coefficients and constants. C) To define the objective function. D) To represent decision variables. Show Answer Correct Answer: B) To provide numerical coefficients and constants. 13. Solve the optimization problem:Minimize 2x + 4y subject to the constraints x >= 0, y >= 0, and 3x + y <= 12. A) The solution is x = 3, y = 2. B) The constraints are not feasible. C) The minimum value is 10. D) The minimum value of 2x + 4y subject to the constraints x >= 0, y >= 0, and 3x + y <= 12 is 8. Show Answer Correct Answer: D) The minimum value of 2x + 4y subject to the constraints x >= 0, y >= 0, and 3x + y <= 12 is 8. 14. The optimum solution of an LPP, if exists, lies: A) At the origin. B) At any interior point. C) At a vertex of the feasible region. D) Outside the feasible region. Show Answer Correct Answer: C) At a vertex of the feasible region. 15. What is the main benefit of using Microsoft Excel to solve LP problems? A) It Causes Errors. B) It Solves Problems Instantly. C) It Provides Visual Representations. D) It Increases Complexity. Show Answer Correct Answer: C) It Provides Visual Representations. 16. How can graphical methods be used in linear programming? A) Graphical methods are used to calculate numerical values in linear programming. B) Graphical methods help visualize constraints and find optimal solutions in linear programming. C) Graphical methods eliminate the need for constraints in linear programming. D) Graphical methods are primarily used for non-linear programming problems. Show Answer Correct Answer: B) Graphical methods help visualize constraints and find optimal solutions in linear programming. 17. Which of the following is a common application of NLP in Inventory Management? A) Finding the shortest distance between two warehouses. B) Optimizing inventory levels where holding costs are non-linear. C) Selecting the fastest production machinery. D) Determining the ideal number of employees for a shift. Show Answer Correct Answer: B) Optimizing inventory levels where holding costs are non-linear. 18. It help us to visualize the procedure of finding the optimal solution to a linear programming problem. A) Graphical Method. B) Corner point Method. C) Feasible Region. D) Linear Programming. Show Answer Correct Answer: A) Graphical Method. 19. Which of these is a constraint type in LPP? A) Quadratic inequality. B) Linear equality or inequality. C) Exponential function. D) None of the above. Show Answer Correct Answer: B) Linear equality or inequality. 20. Identify the feasible region for the inequalities x >= 0, y >= 0, and 3x + 2y <= 12. A) The feasible region is a square with vertices at (0, 0), (0, 12), (12, 0), and (12, 12). B) The feasible region is a circle with center at (0, 0) and radius 6. C) The feasible region is a triangle with vertices at (0, 0), (0, 6), and (4, 0). D) The feasible region is a line segment with endpoints at (0, 0) and (6, 0). Show Answer Correct Answer: C) The feasible region is a triangle with vertices at (0, 0), (0, 6), and (4, 0). 21. What is the objective function in a linear programming model? A) A linear mathematical relationship that describes the objective of the firm. B) A set of restrictions placed on the firm by the operating environment. C) The last point the objective function touches as it leaves the feasible solution area. D) The numeric values in the constraints. Show Answer Correct Answer: A) A linear mathematical relationship that describes the objective of the firm. 22. The solution of a system of three linear equations in three variables, x, y, and z, is called a(n) ..... (x, y, z). A) Ordered Pair. B) Integer. C) Ordered Triple. D) Sum. Show Answer Correct Answer: C) Ordered Triple. 23. What is the final step in formulating a linear programming model? A) Identifying the objective. B) Identifying decision variables. C) Solving the LP model. D) Writing the LP model. Show Answer Correct Answer: D) Writing the LP model. 24. Nonnegativity constraints ensure that A) The solution to the problem will contain only nonnegative values for the decision variables. B) The problem modeling includes only nonnegative values in the constraints. C) The objective function of the problem always returns maximum quantities. D) There are no inequalities in the constraints. Show Answer Correct Answer: A) The solution to the problem will contain only nonnegative values for the decision variables. 25. Solve. Show all work. 10(h+1)-4=76 A) H=10. B) H=4. C) H=7. D) H=76. Show Answer Correct Answer: C) H=7. ← 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 9Class 12 Mathematics Chapter 12 Linear Programming Quiz 10Class 12 Mathematics Chapter 12 Linear Programming Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books