This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 18 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 18 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Question 7:How do you determine if a point is within the feasible region in linear programming? A) Substitute the coordinates of the point into the constraints of the problem and check if they are satisfied. B) Check if the point is located on the x-axis. C) Count the number of variables in the linear programming problem. D) Use the Pythagorean theorem to calculate the distance from the point to the origin. Show Answer Correct Answer: A) Substitute the coordinates of the point into the constraints of the problem and check if they are satisfied. 2. The closed plain region obtained by the intersection of planes determined by a set of the constraints in the LP problem A) Corner Point Method. B) Decsriptive Analysis. C) Objective Function. D) Feasible Region. Show Answer Correct Answer: D) Feasible Region. 3. Data processed to reveal meaning A) DATABASE. B) DATA. C) INFORMATION. D) DATA WAREHOUSE. Show Answer Correct Answer: C) INFORMATION. 4. What is a feasible solution? A) A solution that violates constraints. B) A solution that meets all constraints. C) A solution that is impossible. D) A solution that is not optimal. Show Answer Correct Answer: B) A solution that meets all constraints. 5. Maximum value of the objective function Z = ax + by in a LPP always occurs atonly one corner point of the feasible region. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 6. What is the main benefit of linear programming? A) Maximizing profit without limitations. B) Ignoring constraints. C) Creating random outcomes. D) Optimizing outcomes in various scenarios. Show Answer Correct Answer: D) Optimizing outcomes in various scenarios. 7. What is the objective of sensitivity analysis in linear programming? A) To understand how changes in parameters impact the optimal solution. B) To ignore constraints. C) To minimize the decision variables. D) To maximize the objective function. Show Answer Correct Answer: A) To understand how changes in parameters impact the optimal solution. 8. Why is it important to connect classroom learning to everyday scenarios in linear programming? A) To confuse students with irrelevant examples. B) To help students appreciate the value of mathematics in solving real-world problems. C) To discourage students from studying mathematics. D) To make learning more difficult. Show Answer Correct Answer: B) To help students appreciate the value of mathematics in solving real-world problems. 9. How do you determine the maximum or minimum value of the objective function? A) Assume the function is always increasing or decreasing. B) Use only trial and error to guess values. C) Use calculus, linear programming, or graphical methods to find critical points and evaluate the objective function. D) Ignore constraints and focus on random values. Show Answer Correct Answer: C) Use calculus, linear programming, or graphical methods to find critical points and evaluate the objective function. 10. Which of the following is true of rounding the optimized solution of a linear program to an integer? A) It always produces the most optimal integer solution. B) It may or may not be feasible. C) It does not affect the value of the objective function. D) It always produces a feasible solution. Show Answer Correct Answer: B) It may or may not be feasible. 11. Which ordered pair will maximize P = 3x + y with the following constraints:$x+y\\le300$ $y\\ge100$ $x\\le150$ A) X = 0, y = 300. B) X = 150, y = 150. C) X = 100, y 150. D) X = 150, y = 100. Show Answer Correct Answer: B) X = 150, y = 150. 12. Which of the following is a common application of Linear Programming? A) Scheduling tasks. B) Market analysis. C) Quality control. D) Inventory management. Show Answer Correct Answer: A) Scheduling tasks. 13. Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which one of these is a valid solution? A) (3, 2). B) (1, 4). C) (2, 8). D) (5, 1). Show Answer Correct Answer: D) (5, 1). 14. What is the purpose of the objective function in LP? A) To minimize or maximize a quantity. B) To make the problem harder. C) To add unnecessary complexity. D) To confuse students. Show Answer Correct Answer: A) To minimize or maximize a quantity. 15. Explain how to determine if a solution is optimal in a linear programming problem. A) A solution is optimal if it has the highest number of variables. B) A solution is optimal if it is the first one found during the process. C) A solution is optimal if it meets only one constraint. D) A solution is optimal if it satisfies all constraints and no better objective value can be achieved. Show Answer Correct Answer: D) A solution is optimal if it satisfies all constraints and no better objective value can be achieved. 16. Graph the inequality x-2y < 4 and identify the feasible region. A) The feasible region is the area on the dashed line y = (1/2)x-2. B) The feasible region is the area below the dashed line y = (1/2)x-2. C) The feasible region is the area above the dashed line y = (1/2)x-2. D) The feasible region is the area to the left of the dashed line y = (1/2)x-2. Show Answer Correct Answer: C) The feasible region is the area above the dashed line y = (1/2)x-2. 17. Solve. |-x-10| + 4 <-8 A) No solution. B) X > 2 or x <-22. C) -22 < x < 2. D) All real numbers. Show Answer Correct Answer: A) No solution. 18. A constraint that does NOT affect the feasible region of the solution is a15. A. nonnegativity constraint.B. redundant constraint.C. standard constraint.D. slack constraint. A) A. B) B. C) C. D) D. Show Answer Correct Answer: B) B. 19. A special case when the objection function can be made infinitely large without violating any of the constraints A) Alternate solutions. B) Infeasibility. C) Unboundedness. D) Redundancy. Show Answer Correct Answer: C) Unboundedness. 20. Define Optimal A) The best solution or outcome. B) What you are using to create your product. C) Vertices where the lines intersect. D) What you spend up front. Show Answer Correct Answer: A) The best solution or outcome. 21. If x1 + x2 is less than or equal to 500y1 and y1 is 0-1, then x1 and x2 will be ..... if y1 is 0. A) Equal to 500. B) More than 0. C) Less than 0. D) Equal to 0. Show Answer Correct Answer: D) Equal to 0. 22. In a Linear Programming model, what do constraints represent? A) The decision variables. B) The limitations on resources. C) The profit margins. D) The objective function. Show Answer Correct Answer: B) The limitations on resources. 23. Which of the following variable is not considered in LPP? A) Slack Variable. B) Random Variable. C) Surplus Variable. D) Artificial Variable. Show Answer Correct Answer: B) Random Variable. 24. What is the key idea behind finding the optimal solution in LP problems? A) The optimal solution is always at the center of the feasible region. B) The optimal solution is not important in LP problems. C) The optimal solution is found at the intersection of constraints. D) The optimal solution is randomly determined. Show Answer Correct Answer: C) The optimal solution is found at the intersection of constraints. 25. In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses? A) 10 horses, 18 chickens. B) 16 horses, 12 chickens. C) 12 horses, 16 chickens. D) 18 horses, 10 chickens. Show Answer Correct Answer: C) 12 horses, 16 chickens. ← 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