This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 17 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 17 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If the feasible region is empty, what does it mean? A) No solution exists. B) Infinite solutions exist. C) Objective function is zero. D) Constraints are redundant. Show Answer Correct Answer: A) No solution exists. 2. Given the relation S on the set C = \{1, 2, 3, 4\} defined by S = \{(1, 1), (2, 2), (3, 3), (4, 4), (1, 3), (3, 1)\}, is S an equivalence relation? Why or why not? A) Yes, S is an equivalence relation because it is symmetric. B) No, S is not an equivalence relation because it is not transitive. C) Yes, S is an equivalence relation because it is reflexive. D) No, S is not an equivalence relation because it is not reflexive. Show Answer Correct Answer: B) No, S is not an equivalence relation because it is not transitive. 3. It requires that each variables to be greater than or equal to zero A) Maximization. B) Minimization. C) Inequality. D) Non-negativity constraints. Show Answer Correct Answer: D) Non-negativity constraints. 4. Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg. Which of the following points is NOT a vertex of the shaded region? A) (10, 2). B) (6, 6). C) (0, 0). D) (0, 3). Show Answer Correct Answer: B) (6, 6). 5. In linear programming, what does the objective function usually represent? A) The cost or profit to be optimized. B) The shape of the graph. C) The type of inequality. D) The axis labels. Show Answer Correct Answer: A) The cost or profit to be optimized. 6. An optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem.5. True or False? A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 7. If the optimal solution to the LP Relaxation problem is an integer, it is the optimal solution to the integer linear program. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 8. Michael is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $ 1.50 each and sodas cost $ 0.50 each. At the end of the game, Michael wants to make more than $ 78.50 and sell less than 87 items. Which system of equations represents this situation? A) 1.5x+0.5y>78.5x+y<87. B) 1.5x+0.5y$\geq$78.51.5x+0.5y<87. C) 1.5x+0.5y$\geq$78.5x+y<87. D) X+y$\geq$78.5x+y<87. Show Answer Correct Answer: A) 1.5x+0.5y>78.5x+y<87. 9. How can you represent constraints graphically in a linear programming problem? A) Plot each constraint as a line, shade the feasible region, and identify the optimal solution at the vertices. B) Use only numerical values without graphical representation. C) Shade the entire graph without identifying regions. D) Draw only the objective function line. Show Answer Correct Answer: A) Plot each constraint as a line, shade the feasible region, and identify the optimal solution at the vertices. 10. The measurable input quantity that is inherent in the problem A) Variables. B) Parameter. C) Constraints. D) Decision variables. Show Answer Correct Answer: B) Parameter. 11. If the vertices of the feasible region are (0, 0); (2, 5); (6, 2); and (4, 4), which coordinate maximizes the objective function:P = 2x+3y A) (0, 0). B) (2, 5). C) (6, 2). D) (4, 4). Show Answer Correct Answer: D) (4, 4). 12. In an LP, best corner point feasible solution must be an optimal solution. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 13. A Transportation problem is a special case of linear programming problem A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 14. What is the main benefit of using GeoGebra in teaching graphical solutions to linear inequalities? A) To confuse students. B) To complicate the process. C) To avoid teaching. D) To simplify complex problems. Show Answer Correct Answer: D) To simplify complex problems. 15. What is the primary purpose of using quantitative techniques in management decision making? A) To rely solely on intuition. B) To ignore data analysis. C) To provide a systematic and objective approach to analyzing data and making informed decisions. D) To complicate decision-making processes. Show Answer Correct Answer: C) To provide a systematic and objective approach to analyzing data and making informed decisions. 16. Where can graphical solutions methods be applied in financial analysis? A) Planning crop rotations. B) Optimizing transportation routes. C) Allocating resources in hospitals. D) Managing investment portfolios. Show Answer Correct Answer: D) Managing investment portfolios. 17. How are optimal solutions found in linear programming using the graphical method? A) At the intersection of the objective function line and the feasible region. B) At random points within the feasible region. C) At the highest point of the feasible region. D) At the lowest point of the feasible region. Show Answer Correct Answer: A) At the intersection of the objective function line and the feasible region. 18. Calculate the determinant of the matrix [[2, 3], [1, 4]]. A) 5. B) 8. C) 6. D) 7. Show Answer Correct Answer: A) 5. 19. A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y? A) Y=15x. B) Y=15x+80. C) Y=x+15. D) Y=80x+15. Show Answer Correct Answer: B) Y=15x+80. 20. It refers to the activities carried out within the organization related to attaining goals and objectives A) Planning. B) Operations. C) Scientific method. D) Allocation of resources. Show Answer Correct Answer: B) Operations. 21. What is the difference between bounded and unbounded feasible regions? A) Bounded regions can extend infinitely in all directions. B) Bounded regions are finite and enclosed, while unbounded regions extend infinitely in at least one direction. C) Unbounded regions are always enclosed and finite. D) Bounded regions are infinite and unconfined. Show Answer Correct Answer: B) Bounded regions are finite and enclosed, while unbounded regions extend infinitely in at least one direction. 22. How are constraints represented graphically in the graphical method? A) By adding more variables to the graph. B) By shading the feasible region. C) By using circles instead of lines. D) By drawing lines or boundaries. Show Answer Correct Answer: D) By drawing lines or boundaries. 23. Calculate the determinant of the matrix [[1, 0, 2], [0, 1, 3], [0, 0, 1]]. A) -1. B) 0. C) 2. D) 1. Show Answer Correct Answer: D) 1. 24. Pelajar S diwakili x dan pelajar R diwakili y.I) Jumlah bilangan pelajar tidak lebih daripada 90 orang.II) Bilangan pelajar S tidak lebih daripada dua kali bilangan pelajar R.III) Bilangan pelajar R mesti melebihi bilangan pelajar Ssebanyak selebih-lebihnya 10 orang. A) $x+y\le90$ $y\le2x$ $y\le10+x$. B) $x+y\le90$ $y\ge2x$ $y-x\le10$. C) $x+y\le90$ $x\le2y$ $y-x\le10$. D) $y\le90-x$ $x\le2y$ $y-x\ge10$. Show Answer Correct Answer: C) $x+y\le90$ $x\le2y$ $y-x\le10$. 25. What is the main benefit of using Microsoft Excel for LP problems? A) To create more problems. B) To confuse students. C) To optimize decision-making. D) To avoid calculations. Show Answer Correct Answer: C) To optimize decision-making. ← 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