This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the optimal value of a linear function in a linear programming problem? A) Minimum value. B) Average value. C) Maximum value. D) Median value. Show Answer Correct Answer: A) Minimum value. 2. A company makes two products, A and B. Each A requires 2 hours of labor and 3 units of material. Each B requires 1 hour of labor and 2 units of material. The company has 100 hours of labor and 120 units of material available. Which system represents the constraints? A) $2x + 1y \leq 100$ $3x + 2y \leq 120$. B) $2x + 3y \leq 100$ $1x + 2y \leq 120$. C) $2x + 3y \leq 100$ $1x + 2y \leq 120$. D) $2x + 1y \leq 120$ $3x + 2y \leq 100$. Show Answer Correct Answer: A) $2x + 1y \leq 100$ $3x + 2y \leq 120$. 3. Objective quantity:30x + 50yCorner Points:(0, 0) (8, 0) (6, 2) (0, 6)What is the maximum profit? A) 300. B) 280. C) 400. D) 240. Show Answer Correct Answer: A) 300. 4. Solve.-5|4 +n| <-15 A) N > 1 or n <-7. B) N >-1 or n <-7. C) -7 < n <-1. D) No solution. Show Answer Correct Answer: B) N >-1 or n <-7. 5. How can LP be applied in healthcare according to the text? A) To optimize investment portfolios. B) To optimize transportation routes. C) To optimize staff scheduling in hospitals. D) To optimize production planning. Show Answer Correct Answer: C) To optimize staff scheduling in hospitals. 6. What are the rules that limit our choices called? A) Guidelines. B) Recommendations. C) Preferences. D) Constraints. Show Answer Correct Answer: D) Constraints. 7. Consider the following linear programming problem:Maximize Z = 12x + 10y Subject to:$4x+3y\le480$ $\\2x+3y\le360$ $x\ge0$ $y\ge0$ A) (60, 80). B) (120, 0). C) (180, 120). D) None of the above. Show Answer Correct Answer: A) (60, 80). 8. Acquiring input data is part of: A) Model identification. B) Model formulation or solution. C) Model interpretation. D) Model testing. Show Answer Correct Answer: B) Model formulation or solution. 9. In the example provided, what is the profit from producing one unit of product A? A) $ 50. B) $ 60. C) $ 30. D) $ 40. Show Answer Correct Answer: A) $ 50. 10. Interpret the optimal solution for the problem:Minimize z = 2x + 5y with the constraints:3x + 4y $\geq$ 12, x $\geq$ 0, y $\geq$ 0. A) The optimal solution is at (1, 2) with a minimum value of z = 29. B) The optimal solution is at (0, 3) with a minimum value of z = 15. C) The optimal solution is at (4, 0) with a minimum value of z = 8. D) The optimal solution is at (2, 2) with a minimum value of z = 18. Show Answer Correct Answer: C) The optimal solution is at (4, 0) with a minimum value of z = 8. 11. What does the feasible region represent in linear programming? A) Set of all possible solutions that satisfy the constraints. B) Region where the objective function is maximized. C) Area where all constraints are violated. D) Set of points with no feasible solutions. Show Answer Correct Answer: A) Set of all possible solutions that satisfy the constraints. 12. What are the variables in a linear programming problem sometimes called? A) Independent variables. B) Random variables. C) Decision variables. D) Dependent variables. Show Answer Correct Answer: C) Decision variables. 13. Linear programming A) The process of finding the maximum or minimum values of a function for a region defined by inequalities. B) An apparent solution that must be rejected because it does not satisfy the original equation. C) Written |x|, the distance the number is from 0 on a number line. D) The intersection of the graphs in a system of constraints. Show Answer Correct Answer: A) The process of finding the maximum or minimum values of a function for a region defined by inequalities. 14. If the objective function is maximized at a vertex of the feasible region, what does this imply? A) The optimal solution is at a vertex of the feasible region. B) The optimal solution cannot be at a vertex. C) The optimal solution is always at an edge of the feasible region. D) The optimal solution is at the center of the feasible region. Show Answer Correct Answer: A) The optimal solution is at a vertex of the feasible region. 15. Graph the inequality 2x-y $\geq$ 4 and shade the feasible region. A) Graph the line y = 2x-4 with a dashed line and shade the region above it. B) Graph the line y = 2x-4 with a solid line and shade the region below it. C) Graph the line y =-2x + 4 with a solid line and shade the region below it. D) Graph the line y = 2x + 4 with a dashed line and shade the region above it. Show Answer Correct Answer: B) Graph the line y = 2x-4 with a solid line and shade the region below it. 16. Determine if the system of equations x + 2y = 4 and 2x + 4y = 8 is consistent. A) Yes, the system is consistent. B) The system has no solutions. C) No, the system is inconsistent. D) The equations represent parallel lines. Show Answer Correct Answer: A) Yes, the system is consistent. 17. How can retail companies benefit from linear programming techniques? A) Optimizing supply chain operations. B) Optimizing customer service. C) Optimizing financial reporting. D) Optimizing production planning. Show Answer Correct Answer: D) Optimizing production planning. 18. The LPP is solved graphically when it has: A) Two constraints. B) Two decision variables. C) Four objective functions. D) One equation only. Show Answer Correct Answer: B) Two decision variables. 19. What is the key benefit of using GeoGebra in teaching graphical solutions to linear inequalities? A) To add unnecessary steps to problem-solving. B) To visualize complex systems of inequalities and find optimal solutions. C) To limit students' understanding of mathematical concepts. D) To make the process more confusing for students. Show Answer Correct Answer: B) To visualize complex systems of inequalities and find optimal solutions. 20. Yang mana merupakan fungsi linear? $xy$ A) $y=2x^2$. B) $y=2x$. C) $x$. D) $xy$. Show Answer Correct Answer: B) $y=2x$. 21. What is the graphical method used for in linear programming? A) To determine the constraints of the problem. B) To calculate the objective function. C) To visually represent the feasible region and find the optimal solution. D) To identify the decision variables. Show Answer Correct Answer: C) To visually represent the feasible region and find the optimal solution. 22. Converting a transportation problem LP from cost minimization to profit maximization requires only changing the objective function; the conversion does not affect the constraints. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 23. What should be done after finding the optimal solution in LP using Excel? A) Start Over. B) Ignore the Results. C) Conduct Sensitivity Analysis. D) Delete the Spreadsheet. Show Answer Correct Answer: C) Conduct Sensitivity Analysis. 24. Which of the following is NOT a characteristic of LP A) Non-Negativity. B) Decision Variable. C) Growth. D) Finiteness. Show Answer Correct Answer: C) Growth. 25. Graph and identify a possible solution.y$\geq$2x+3y$\geq$1/3x-2 A) (3, 3). B) (-1, -1). C) (-3, 3). D) (-4, -4). Show Answer Correct Answer: C) (-3, 3). ← 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 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 10Class 12 Mathematics Chapter 12 Linear Programming Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books