This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 24 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 24 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. How is the optimal solution found in the graphical method? A) By flipping a coin. B) By following a random path. C) By choosing the highest number. D) By identifying the corner point of the feasible region that optimizes the objective function. Show Answer Correct Answer: D) By identifying the corner point of the feasible region that optimizes the objective function. 2. An inequality using $\ge$ $\le$ A) Solid. B) Dashed. C) All the above. D) None of the above. Show Answer Correct Answer: A) Solid. 3. Determine if the function k(x) = 1/x is one-to-one. Justify your answer. A) No, k(x) = 1/x is not one-to-one. B) Yes, k(x) = 1/x is one-to-one. C) K(x) = 1/x is one-to-one only for x < 0. D) K(x) = 1/x is one-to-one only for x > 0. Show Answer Correct Answer: B) Yes, k(x) = 1/x is one-to-one. 4. Where is the optimal solution found in LP problems using the graphical method? A) None of the above. B) At the midpoint of the feasible region. C) At the intersection of constraint lines. D) At one of the corner points of the feasible region. Show Answer Correct Answer: A) None of the above. 5. What is the significance of non-negativity constraints in Linear Programming? A) They ensure that profits are maximized. B) They define the feasible region. C) They prevent negative values for decision variables. D) They limit the number of products produced. Show Answer Correct Answer: C) They prevent negative values for decision variables. 6. A relationship between two or more variables which is directly and precisely proportional A) Sensitivity analysis. B) Parameter. C) Linear. D) Analog. Show Answer Correct Answer: C) Linear. 7. Which of the following is an application of linear programming? A) Scheduling school buses. B) Choosing a vacation destination. C) Deciding on a movie to watch. D) Planning a birthday party. Show Answer Correct Answer: A) Scheduling school buses. 8. 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. What is the objective function? A) M = 3x + 10y. B) M = 10x + 3y. C) M = 20x + 100y. D) M = 100x + 20y. Show Answer Correct Answer: C) M = 20x + 100y. 9. In dual simplex method, the starting solution is ..... A) Feasible. B) Not feasible. C) All the above. D) None of the above. Show Answer Correct Answer: B) Not feasible. 10. Why is it important to find the vertices of the feasible region? A) To solve a linear programming problem. B) To find the midpoint. C) To calculate the average. D) To determine the distance. Show Answer Correct Answer: A) To solve a linear programming problem. 11. The number of constraints in dual is equal to number of variables in primal. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 12. What are some real-world applications of linear programming? A) Weather forecasting. B) Website design. C) Applications of linear programming include resource allocation, production scheduling, transportation optimization, and financial portfolio design. D) Social media marketing. Show Answer Correct Answer: C) Applications of linear programming include resource allocation, production scheduling, transportation optimization, and financial portfolio design. 13. What is the first step in applying linear programming? A) Implement the solution. B) Identify the problem. C) Formulate the constraints. D) Solve the model. Show Answer Correct Answer: B) Identify the problem. 14. Tentukan himpunan penyelesaian dari pertidaksamaan $2x+3\le11$ A) $x\le4$. B) $x\ge4$. C) $x<4$. D) $x>4$. Show Answer Correct Answer: A) $x\le4$. 15. Where is the optimal solution of a linear programming problem typically found? A) At the corner points of the feasible region. B) At the center of the graph. C) At the intersection of two random lines. D) At the origin of the coordinate system. Show Answer Correct Answer: A) At the corner points of the feasible region. 16. A department store sells perfume and cologne. ~The store sells at least 2 bottles of perfume a day, but no more than 25.~The store sells more than 3 bottles of cologne, but less than 20 a day. Which of the following would represent one of the constraints for the feasible region? A) $3\le y\le20$. B) $2\le x\le25$. C) $2 D) $20\le y\le25$. Show Answer Correct Answer: B) $2\le x\le25$. 17. What is the first step in solving LP problems using Microsoft Excel? A) Input Decision Variables and Constraints. B) Define the Objective Function. C) Interpret the Results. D) Run the Solver Tool. Show Answer Correct Answer: A) Input Decision Variables and Constraints. 18. How can manufacturing companies benefit from graphical solutions in linear programming? A) Optimizing financial reporting. B) Optimizing production planning. C) Optimizing marketing strategies. D) Optimizing customer service. Show Answer Correct Answer: B) Optimizing production planning. 19. What is the significance of vertices in the feasible region of linear programming? A) They represent the highest costs. B) They indicate the lowest output. C) They are irrelevant to the solution. D) They help determine the optimal solution. Show Answer Correct Answer: D) They help determine the optimal solution. 20. In a standard linear programming problem, the objective function is: A) Always quadratic. B) Always nonlinear. C) Linear and either maximized or minimized. D) Constant. Show Answer Correct Answer: C) Linear and either maximized or minimized. 21. Calculate the determinant of the matrix [[1, 2, 3], [0, 1, 4], [5, 6, 0]]. A) 0. B) -1. C) 10. D) 1. Show Answer Correct Answer: D) 1. 22. Determine if the system of equations 2x + y = 3 and 4x + 2y = 6 is consistent. A) The equations represent parallel lines. B) No, the system is inconsistent. C) The system has no solutions. D) Yes, the system is consistent. Show Answer Correct Answer: D) Yes, the system is consistent. 23. Y is at least 3 times of x(y sekurang-kurangnya 3 kali ganda x) A) $y=3x$. B) $y>3x$. C) $y\ge3x$. D) $y\le3x$. Show Answer Correct Answer: C) $y\ge3x$. 24. How do you find the maximum value of an objective function? A) Evaluate the objective function at each vertex of the feasible region and identify the highest value. B) Calculate the average of all values in the feasible region. C) Use the derivative of the function to find critical points only. D) Select the highest value from the objective function without considering the feasible region. Show Answer Correct Answer: A) Evaluate the objective function at each vertex of the feasible region and identify the highest value. 25. The feasible region is: A) The area satisfying all constraints. B) The objective function line. C) The set of all possible objective values. D) None of the above. Show Answer Correct Answer: A) The area satisfying all constraints. ← 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